Zhi-ping Fan - Academia.edu (original) (raw)
Papers by Zhi-ping Fan
European Journal of Operational Research, 1999
This paper proposes an integrated approach to determine attribute weights in the multiple attribu... more This paper proposes an integrated approach to determine attribute weights in the multiple attribute decision making (MADM) problems. The approach makes use of the subjective information provided by a decision maker and the objective information to form a two-objective programming ...
Lecture Notes in Computer Science, 2005
This paper presents a method for consensus measures and adjusting inconsistency of linguistic pre... more This paper presents a method for consensus measures and adjusting inconsistency of linguistic preference relations in group decision-making (GDM). Several consensus measures are defined by comparing positions of alternatives between individual ordered vectors and a collective ordered vector. In such a way, the consensus situation is evaluated in each moment in a more realistic way. Feedback mechanism would be applied if the consensus degree of all experts does not reach the required consensus level. This feedback mechanism is simple and easy computing process to help experts change their opinions in order to obtain the consensus level. It is based on the use of individual linguistic preferences, collective and individual ordered vectors of alternatives. It is also based on the use of fuzzy majority of consensus, represented by means of a linguistic quantifier.
Lecture Notes in Computer Science, 2005
Based on the analysis of the process of the collaborative e-learning system and the characteristi... more Based on the analysis of the process of the collaborative e-learning system and the characteristics of Multi-agent technology, this paper brings forward a collaborative e-learning system framework founded on Multi-agent. Meanwhile, it provides with the key technology to realize e-learning and the arithmetic to search for the collaborator, carries out further analysis of the system’s operating mechanism, multi-agent’s logic structure, Agent capacity and time complexity. According to this framework, it is easy to realize the Web-based e-learning among several individuals and the knowledge’s intertransferring, which is good to improve the e-learning efficiency and lift the knowledge level of the whole internet organization.
Blood, Jan 4, 2015
The effects of HLA-identical sibling donor (ISDs) haematopoietic stem cell transplantation (HSCT)... more The effects of HLA-identical sibling donor (ISDs) haematopoietic stem cell transplantation (HSCT) on adults with intermediate- or high-risk acute myeloid leukaemia (AML) in the first complete remission (CR1) are well established. Previous single-centre studies have demonstrated similar survival after unmanipulated haploidentical donor (HIDs) vs ISDs HSCT for haematological malignancies. To test the hypothesis that haploidentical HSCT would be a valid option as post-remission therapy for AML patients in CR1 lacking a matched donor, we designed a disease-specific, prospective, multi-centre study. Between July 2010 and Nov 2013, 450 patients were assigned to undergo HIDs (231 patients) or ISDs HSCT (219 patients) according to donor availability. Among HIDs and ISDs recipients, the 3-year disease free survival rate was 74% and 78% (P =.34), respectively; overall survival rate was 79% and 82% (P = .36), respectively; cumulative incidences of relapse were 15% and 15% (P = .98), and those ...
The assessment of the level of experts in group-decision analysis forms an important research top... more The assessment of the level of experts in group-decision analysis forms an important research topic. This article proposes a factor score method (FAM) for obtaining a ranking of the assessment levels of experts in group-decision analysis. The proposed FAM can be used to obtain a ranking of the assessment levels of experts from difference preference relations, where fuzzy preference relations,
Zhongguo shi yan xue ye xue za zhi / Zhongguo bing li sheng li xue hui = Journal of experimental hematology / Chinese Association of Pathophysiology, 2015
The study was to analyze the acute heart failure's risk factors and clinical characteristics ... more The study was to analyze the acute heart failure's risk factors and clinical characteristics for the patient with chronic myelogenous leukemia (CML) during the early stage (within 100 d) of allogeneic hematopoietic stem cell transplantation (allo-HSCT). A total of 106 cases of CML received allo-HSCT were retrospectively studied in Nanfang Hospital from May 2003 to May 2013. On the basis of existence or absence of acute heart failure during early stage of allo-HSCT (100 d), the patients were divided into heart failure (15 cases) and control group (91 cases). Using Logistic univariate analysis, Fisher' exact test and Pearson X(2) test, the acute heart failure's risk factors and clinical characteristics of both groups were analyzed. The median occurrence time of acute heart failure was 3 d (1 d before transplantation to 84 d after transplantation). Logistic univariate analysis indicated that the imatinib treatment history and time, and the prophylaxis regimens for GVHD with...
Lecture Notes in Computer Science, 2005
... For instance, when system acquire the information that an employee is using Microsoft Office,... more ... For instance, when system acquire the information that an employee is using Microsoft Office, it will push the related information about ... Additionally, according to the evaluation of the pushed knowledge (which is stored in knowledge training set, including the knowledge based ...
Zhonghua xue ye xue za zhi = Zhonghua xueyexue zazhi, 2006
To compare the hemopoietic reconstitution, immune reconstitution, infection, incidence of graft-v... more To compare the hemopoietic reconstitution, immune reconstitution, infection, incidence of graft-versus-host disease (GVHD) and clinical outcome between unrelated donor peripheral blood stem cell (PBSC) transplantation and bone marrow (BM) transplantation for leukemias. The clinical results of 21 leukemia patients receiving G-CSF mobilized PBSC graft from unrelated donors were compared with that of 32 patients receiving unrelated BM transplants. Compared with BM grafts, the PBSC graft contained significantly more nucleated cells (P = 0.000), and resulted in a significantly shorter time-to-neutrophil (12.43 +/- 3.67 vs 16.16 + 2.99 days) and platelet engraftment (14.67 +/- 6.19 vs 21.23 +/- 8.25 days), (P = 0.000 and 0.003, respectively). T cell reconstitution between the two groups differed little after transplantation. The incidences of early-stage infection (42.86% vs 53.13%), the probabilities of acute graft-versus-host disease (aGVHD) (61.90% vs 71.88%), the grades III to IV aGVH...
International Journal of Production Economics, 2009
Collaboration satisfaction of new product development (NPD) team is a key factor that affects the... more Collaboration satisfaction of new product development (NPD) team is a key factor that affects the performance of team. The evaluation of collaboration satisfaction is a useful work for managers to control the operational process of NPD team so as to promote the performance. This paper investigates a fuzzy linguistic method for evaluating collaboration satisfaction of NPD team. The concept of collaboration satisfaction of NPD team is deduced and the collaborative working relationship between members is described. A research perspective is then proposed, i.e., collaboration satisfaction of NPD team can be measured by mutual satisfaction of members. After that, we construct an evaluation hierarchy with two perspectives and extending criteria. With respect to each criterion, the mutual-evaluation matrix with linguistic terms is obtained from mutual evaluation of members based on working relationship. A fuzzy linguistic approach based on 2-tuple linguistic representation model is proposed to evaluate collaboration satisfaction of NPD team. Finally, an example is used to demonstrate the potential of the proposed method.
Information Sciences, 2009
ABSTRACT This paper proposed a novel approach to ranking fuzzy numbers based on the left and righ... more ABSTRACT This paper proposed a novel approach to ranking fuzzy numbers based on the left and right deviation degree (L–R deviation degree). In the approach, the maximal and minimal reference sets are defined to measure L–R deviation degree of fuzzy number, and then the transfer coefficient is defined to measure the relative variation of L–R deviation degree of fuzzy number. Furthermore, the ranking index value is obtained based on the L–R deviation degree and relative variation of fuzzy numbers. Additionally, to compare the proposed approach with the existing approaches, five numerical examples are used. The comparative results illustrate that the approach proposed in this paper is simpler and better.
Fuzzy Sets and Systems, 2002
This paper investigates the multiple attribute decision making (MADM) problem with preference inf... more This paper investigates the multiple attribute decision making (MADM) problem with preference information on alternatives. A new approach is proposed to solve the MADM problem, where the decision maker gives his/her preference on alternatives in a fuzzy relation. To reflect ...
Fuzzy Sets and Systems, 2006
This paper investigates the inconsistency problems of preference information about alternatives e... more This paper investigates the inconsistency problems of preference information about alternatives expressed as a fuzzy preference relation by a decision maker. An analysis method is presented to identify the inconsistency and weak transitivity of a fuzzy preference relation and to repair its inconsistency to reach weak transitivity. First, several definitions are given on additive consistency, inconsistency and weak transitivity of
Expert Systems with Applications, 2010
The multi-granularity uncertain linguistic term is a form of uncertain preference information in ... more The multi-granularity uncertain linguistic term is a form of uncertain preference information in group decision-making (GDM), while it is seldom discussed in the existing research. In this paper, a method is proposed to solve the GDM problem with multi-granularity uncertain linguistic information. Firstly, to process multi-granularity uncertain linguistic information, a formula for transforming multi-granularity uncertain linguistic terms into trapezoidal fuzzy
Expert Systems with Applications, 2009
Knowledge management capability (KMC) is the source for organizations to gain the sustainable com... more Knowledge management capability (KMC) is the source for organizations to gain the sustainable competitive advantage. KMC evaluation is a required work with strategic significance. However it still has not been addressed in the existing literatures. So the objective of this study is to investigate a fuzzy multiple attributes decision-making method (FMADM) for evaluating KMC. In this paper, a framework for
![Research paper thumbnail of Corrigendum “Evaluating knowledge management capability of organizations: A fuzzy linguistic method” [Experts Systems with Applications 36 (2P2) (2009) 3346–3354]](https://attachments.academia-assets.com/48852484/thumbnails/1.jpg)
](Expert Systems with Applications, 2009
Expert Systems with Applications, 2008
In R&D project selection, experts (or external reviewers) always play a very important role becau... more In R&D project selection, experts (or external reviewers) always play a very important role because their opinions will have great influence on the outcome of the project selection. It is also undoubted that experts with high expertise level will make useful and professional judgments on the projects to be selected. So, how to assign the most appropriate experts to the relevant proposals is a very significant issue. This paper presents a hybrid knowledge and model approach which integrates mathematical decision models with knowledge rules, for the assignment of experts to review of R&D project proposals. The approach can be applied to government funding agencies in China and other countries.
Expert Systems with Applications, 2009
Member selection Collaborative information Individual information R&D team Bi-objective 0-1 progr... more Member selection Collaborative information Individual information R&D team Bi-objective 0-1 programming Multi-objective genetic algorithm (MOGA) a b s t r a c t
European Journal of Operational Research, 2013
The advancement of Internet technology has enabled new formats for selling products in the B2C on... more The advancement of Internet technology has enabled new formats for selling products in the B2C online auctions. At present, on the major online auction sites, there exist three popular selling formats, namely, the posted price, pure auction and buy-price auction formats. It is an important decision problem for a firm to select the most profitable format to sell its products through the Internet. The customer behavior is of course a crucial element of the decision process. To the best of our knowledge, most models available today assume that customers are perfectly rational. To better understand the decision process, in this paper, we incorporate the concept of bounded rationality into consideration. We first present a ''behavior choice function'' to characterize the behavior of the customers with bounded rationality. Then corresponding to each selling format, we construct a revenue model based on the bounded rationality for analysis. Finally, we conduct some elaborate computational experiments to investigate the performance of each revenue model for developing new managerial insights. Our computational results clearly demonstrate how the bounded rationality of customer behavior affects the choice of a preferable selling format for a B2C firm in an online auction.
European Journal of Operational Research, 2012
ABSTRACT The availability of abundant data posts a challenge to integrate static customer data an... more ABSTRACT The availability of abundant data posts a challenge to integrate static customer data and longitudinal behavioral data to improve performance in customer churn prediction. Usually, longitudinal behavioral data are transformed into static data before being included in a prediction model. In this study, a framework with ensemble techniques is presented for customer churn prediction directly using longitudinal behavioral data. A novel approach called the hierarchical multiple kernel support vector machine (H-MK-SVM) is formulated. A three phase training algorithm for the H-MK-SVM is developed, implemented and tested. The H-MK-SVM constructs a classification function by estimating the coefficients of both static and longitudinal behavioral variables in the training process without transformation of the longitudinal behavioral data. The training process of the H-MK-SVM is also a feature selection and time subsequence selection process because the sparse non-zero coefficients correspond to the variables selected. Computational experiments using three real-world databases were conducted. Computational results using multiple criteria measuring performance show that the H-MK-SVM directly using longitudinal behavioral data performs better than currently available classifiers.
European Journal of Operational Research, 2010
This paper proposes a method for solving stochastic multiple criteria decision making (MCDM) prob... more This paper proposes a method for solving stochastic multiple criteria decision making (MCDM) problems, where evaluations of alternatives on considered criteria are random variables with known probability density functions or probability mass functions. Probabilities on all possible results of pairwise comparisons of alternatives are first calculated using Probability Theory. Then, all possible results of pairwise comparisons are classified into superior, indifferent and inferior ones using a predefined identification rule. Consequently, the probabilities on all possible results of pairwise comparisons are partitioned into superior, indifferent and inferior probabilities. Furthermore, based on the derived probabilities, an algorithm is developed to rank the alternatives. Finally, a numerical example is used to illustrate the feasibility and validity of the proposed method.
European Journal of Operational Research, 1999
This paper proposes an integrated approach to determine attribute weights in the multiple attribu... more This paper proposes an integrated approach to determine attribute weights in the multiple attribute decision making (MADM) problems. The approach makes use of the subjective information provided by a decision maker and the objective information to form a two-objective programming ...
Lecture Notes in Computer Science, 2005
This paper presents a method for consensus measures and adjusting inconsistency of linguistic pre... more This paper presents a method for consensus measures and adjusting inconsistency of linguistic preference relations in group decision-making (GDM). Several consensus measures are defined by comparing positions of alternatives between individual ordered vectors and a collective ordered vector. In such a way, the consensus situation is evaluated in each moment in a more realistic way. Feedback mechanism would be applied if the consensus degree of all experts does not reach the required consensus level. This feedback mechanism is simple and easy computing process to help experts change their opinions in order to obtain the consensus level. It is based on the use of individual linguistic preferences, collective and individual ordered vectors of alternatives. It is also based on the use of fuzzy majority of consensus, represented by means of a linguistic quantifier.
Lecture Notes in Computer Science, 2005
Based on the analysis of the process of the collaborative e-learning system and the characteristi... more Based on the analysis of the process of the collaborative e-learning system and the characteristics of Multi-agent technology, this paper brings forward a collaborative e-learning system framework founded on Multi-agent. Meanwhile, it provides with the key technology to realize e-learning and the arithmetic to search for the collaborator, carries out further analysis of the system’s operating mechanism, multi-agent’s logic structure, Agent capacity and time complexity. According to this framework, it is easy to realize the Web-based e-learning among several individuals and the knowledge’s intertransferring, which is good to improve the e-learning efficiency and lift the knowledge level of the whole internet organization.
Blood, Jan 4, 2015
The effects of HLA-identical sibling donor (ISDs) haematopoietic stem cell transplantation (HSCT)... more The effects of HLA-identical sibling donor (ISDs) haematopoietic stem cell transplantation (HSCT) on adults with intermediate- or high-risk acute myeloid leukaemia (AML) in the first complete remission (CR1) are well established. Previous single-centre studies have demonstrated similar survival after unmanipulated haploidentical donor (HIDs) vs ISDs HSCT for haematological malignancies. To test the hypothesis that haploidentical HSCT would be a valid option as post-remission therapy for AML patients in CR1 lacking a matched donor, we designed a disease-specific, prospective, multi-centre study. Between July 2010 and Nov 2013, 450 patients were assigned to undergo HIDs (231 patients) or ISDs HSCT (219 patients) according to donor availability. Among HIDs and ISDs recipients, the 3-year disease free survival rate was 74% and 78% (P =.34), respectively; overall survival rate was 79% and 82% (P = .36), respectively; cumulative incidences of relapse were 15% and 15% (P = .98), and those ...
The assessment of the level of experts in group-decision analysis forms an important research top... more The assessment of the level of experts in group-decision analysis forms an important research topic. This article proposes a factor score method (FAM) for obtaining a ranking of the assessment levels of experts in group-decision analysis. The proposed FAM can be used to obtain a ranking of the assessment levels of experts from difference preference relations, where fuzzy preference relations,
Zhongguo shi yan xue ye xue za zhi / Zhongguo bing li sheng li xue hui = Journal of experimental hematology / Chinese Association of Pathophysiology, 2015
The study was to analyze the acute heart failure's risk factors and clinical characteristics ... more The study was to analyze the acute heart failure's risk factors and clinical characteristics for the patient with chronic myelogenous leukemia (CML) during the early stage (within 100 d) of allogeneic hematopoietic stem cell transplantation (allo-HSCT). A total of 106 cases of CML received allo-HSCT were retrospectively studied in Nanfang Hospital from May 2003 to May 2013. On the basis of existence or absence of acute heart failure during early stage of allo-HSCT (100 d), the patients were divided into heart failure (15 cases) and control group (91 cases). Using Logistic univariate analysis, Fisher' exact test and Pearson X(2) test, the acute heart failure's risk factors and clinical characteristics of both groups were analyzed. The median occurrence time of acute heart failure was 3 d (1 d before transplantation to 84 d after transplantation). Logistic univariate analysis indicated that the imatinib treatment history and time, and the prophylaxis regimens for GVHD with...
Lecture Notes in Computer Science, 2005
... For instance, when system acquire the information that an employee is using Microsoft Office,... more ... For instance, when system acquire the information that an employee is using Microsoft Office, it will push the related information about ... Additionally, according to the evaluation of the pushed knowledge (which is stored in knowledge training set, including the knowledge based ...
Zhonghua xue ye xue za zhi = Zhonghua xueyexue zazhi, 2006
To compare the hemopoietic reconstitution, immune reconstitution, infection, incidence of graft-v... more To compare the hemopoietic reconstitution, immune reconstitution, infection, incidence of graft-versus-host disease (GVHD) and clinical outcome between unrelated donor peripheral blood stem cell (PBSC) transplantation and bone marrow (BM) transplantation for leukemias. The clinical results of 21 leukemia patients receiving G-CSF mobilized PBSC graft from unrelated donors were compared with that of 32 patients receiving unrelated BM transplants. Compared with BM grafts, the PBSC graft contained significantly more nucleated cells (P = 0.000), and resulted in a significantly shorter time-to-neutrophil (12.43 +/- 3.67 vs 16.16 + 2.99 days) and platelet engraftment (14.67 +/- 6.19 vs 21.23 +/- 8.25 days), (P = 0.000 and 0.003, respectively). T cell reconstitution between the two groups differed little after transplantation. The incidences of early-stage infection (42.86% vs 53.13%), the probabilities of acute graft-versus-host disease (aGVHD) (61.90% vs 71.88%), the grades III to IV aGVH...
International Journal of Production Economics, 2009
Collaboration satisfaction of new product development (NPD) team is a key factor that affects the... more Collaboration satisfaction of new product development (NPD) team is a key factor that affects the performance of team. The evaluation of collaboration satisfaction is a useful work for managers to control the operational process of NPD team so as to promote the performance. This paper investigates a fuzzy linguistic method for evaluating collaboration satisfaction of NPD team. The concept of collaboration satisfaction of NPD team is deduced and the collaborative working relationship between members is described. A research perspective is then proposed, i.e., collaboration satisfaction of NPD team can be measured by mutual satisfaction of members. After that, we construct an evaluation hierarchy with two perspectives and extending criteria. With respect to each criterion, the mutual-evaluation matrix with linguistic terms is obtained from mutual evaluation of members based on working relationship. A fuzzy linguistic approach based on 2-tuple linguistic representation model is proposed to evaluate collaboration satisfaction of NPD team. Finally, an example is used to demonstrate the potential of the proposed method.
Information Sciences, 2009
ABSTRACT This paper proposed a novel approach to ranking fuzzy numbers based on the left and righ... more ABSTRACT This paper proposed a novel approach to ranking fuzzy numbers based on the left and right deviation degree (L–R deviation degree). In the approach, the maximal and minimal reference sets are defined to measure L–R deviation degree of fuzzy number, and then the transfer coefficient is defined to measure the relative variation of L–R deviation degree of fuzzy number. Furthermore, the ranking index value is obtained based on the L–R deviation degree and relative variation of fuzzy numbers. Additionally, to compare the proposed approach with the existing approaches, five numerical examples are used. The comparative results illustrate that the approach proposed in this paper is simpler and better.
Fuzzy Sets and Systems, 2002
This paper investigates the multiple attribute decision making (MADM) problem with preference inf... more This paper investigates the multiple attribute decision making (MADM) problem with preference information on alternatives. A new approach is proposed to solve the MADM problem, where the decision maker gives his/her preference on alternatives in a fuzzy relation. To reflect ...
Fuzzy Sets and Systems, 2006
This paper investigates the inconsistency problems of preference information about alternatives e... more This paper investigates the inconsistency problems of preference information about alternatives expressed as a fuzzy preference relation by a decision maker. An analysis method is presented to identify the inconsistency and weak transitivity of a fuzzy preference relation and to repair its inconsistency to reach weak transitivity. First, several definitions are given on additive consistency, inconsistency and weak transitivity of
Expert Systems with Applications, 2010
The multi-granularity uncertain linguistic term is a form of uncertain preference information in ... more The multi-granularity uncertain linguistic term is a form of uncertain preference information in group decision-making (GDM), while it is seldom discussed in the existing research. In this paper, a method is proposed to solve the GDM problem with multi-granularity uncertain linguistic information. Firstly, to process multi-granularity uncertain linguistic information, a formula for transforming multi-granularity uncertain linguistic terms into trapezoidal fuzzy
Expert Systems with Applications, 2009
Knowledge management capability (KMC) is the source for organizations to gain the sustainable com... more Knowledge management capability (KMC) is the source for organizations to gain the sustainable competitive advantage. KMC evaluation is a required work with strategic significance. However it still has not been addressed in the existing literatures. So the objective of this study is to investigate a fuzzy multiple attributes decision-making method (FMADM) for evaluating KMC. In this paper, a framework for
Expert Systems with Applications, 2009
Expert Systems with Applications, 2008
In R&D project selection, experts (or external reviewers) always play a very important role becau... more In R&D project selection, experts (or external reviewers) always play a very important role because their opinions will have great influence on the outcome of the project selection. It is also undoubted that experts with high expertise level will make useful and professional judgments on the projects to be selected. So, how to assign the most appropriate experts to the relevant proposals is a very significant issue. This paper presents a hybrid knowledge and model approach which integrates mathematical decision models with knowledge rules, for the assignment of experts to review of R&D project proposals. The approach can be applied to government funding agencies in China and other countries.
Expert Systems with Applications, 2009
Member selection Collaborative information Individual information R&D team Bi-objective 0-1 progr... more Member selection Collaborative information Individual information R&D team Bi-objective 0-1 programming Multi-objective genetic algorithm (MOGA) a b s t r a c t
European Journal of Operational Research, 2013
The advancement of Internet technology has enabled new formats for selling products in the B2C on... more The advancement of Internet technology has enabled new formats for selling products in the B2C online auctions. At present, on the major online auction sites, there exist three popular selling formats, namely, the posted price, pure auction and buy-price auction formats. It is an important decision problem for a firm to select the most profitable format to sell its products through the Internet. The customer behavior is of course a crucial element of the decision process. To the best of our knowledge, most models available today assume that customers are perfectly rational. To better understand the decision process, in this paper, we incorporate the concept of bounded rationality into consideration. We first present a ''behavior choice function'' to characterize the behavior of the customers with bounded rationality. Then corresponding to each selling format, we construct a revenue model based on the bounded rationality for analysis. Finally, we conduct some elaborate computational experiments to investigate the performance of each revenue model for developing new managerial insights. Our computational results clearly demonstrate how the bounded rationality of customer behavior affects the choice of a preferable selling format for a B2C firm in an online auction.
European Journal of Operational Research, 2012
ABSTRACT The availability of abundant data posts a challenge to integrate static customer data an... more ABSTRACT The availability of abundant data posts a challenge to integrate static customer data and longitudinal behavioral data to improve performance in customer churn prediction. Usually, longitudinal behavioral data are transformed into static data before being included in a prediction model. In this study, a framework with ensemble techniques is presented for customer churn prediction directly using longitudinal behavioral data. A novel approach called the hierarchical multiple kernel support vector machine (H-MK-SVM) is formulated. A three phase training algorithm for the H-MK-SVM is developed, implemented and tested. The H-MK-SVM constructs a classification function by estimating the coefficients of both static and longitudinal behavioral variables in the training process without transformation of the longitudinal behavioral data. The training process of the H-MK-SVM is also a feature selection and time subsequence selection process because the sparse non-zero coefficients correspond to the variables selected. Computational experiments using three real-world databases were conducted. Computational results using multiple criteria measuring performance show that the H-MK-SVM directly using longitudinal behavioral data performs better than currently available classifiers.
European Journal of Operational Research, 2010
This paper proposes a method for solving stochastic multiple criteria decision making (MCDM) prob... more This paper proposes a method for solving stochastic multiple criteria decision making (MCDM) problems, where evaluations of alternatives on considered criteria are random variables with known probability density functions or probability mass functions. Probabilities on all possible results of pairwise comparisons of alternatives are first calculated using Probability Theory. Then, all possible results of pairwise comparisons are classified into superior, indifferent and inferior ones using a predefined identification rule. Consequently, the probabilities on all possible results of pairwise comparisons are partitioned into superior, indifferent and inferior probabilities. Furthermore, based on the derived probabilities, an algorithm is developed to rank the alternatives. Finally, a numerical example is used to illustrate the feasibility and validity of the proposed method.