Malcolm Beynon | Cardiff University (original) (raw)

Papers by Malcolm Beynon

Research paper thumbnail of Using DS/AHP to rank of sectors on their potential to strengthen regional economic development

DS/AHP is a nascent method for multi-criteria decision making (MCDM), applied here to the ranking... more DS/AHP is a nascent method for multi-criteria decision making (MCDM), applied here to the ranking of sectors (industries). Moreover, the preference of each sector over different criteria is dependent on their expected ability to improve the development prospects of a UK region. Due to the large number of sectors considered in this case, the use of more traditional MCDM techniques such as AHP is problematic. The utilisation of DS/AHP alleviates this problem, placing the level of judgement making in the control of the DM. Using DS/AHP allows the evaluation of levels of belief and plausibility on the preference of sectors. With more than one DM involved in this sector-choice problem, a consistent approach to the aggregation of their individual and then group judgements is undertaken. Aspects from the notion of consideration sets from consumer choice theory are utilised to support the identification of a most preferred sub-group of the available sectors.

Research paper thumbnail of The MAUT based CARBS System using Belief Functions: Ranking US National League Baseball Teams

This paper exposits a novel MAUT technique, named CaRBS, which is able to preference rank a numbe... more This paper exposits a novel MAUT technique, named CaRBS, which is able to preference rank a number of alternatives. Fundamentally based around the Dempster-Shafer theory of evidence (DST), the quantification of evidential preference from different criteria is based on belief functions. The use of simplex plots advocates the role of CaRBS as a visual decision support system. The subsequent ranking of alternatives can be based on DST related belief and plausibility measures. Results on the ranking of US baseball teams are presented and shown to be comparable to published work using SMART and PROMETHEE as well as positively demonstrating the use of CaRBS as a tool in group decision making.

Research paper thumbnail of Fuzzy Decision-Tree-Based Analysis of Databases

IGI Global eBooks, May 24, 2011

Research paper thumbnail of Two different gait classifiers - a comparative study

Research paper thumbnail of An introduction of the condition class space with continuous value discretization and rough set theory: Research Articles

Journal of intelligent systems, Feb 1, 2006

Research paper thumbnail of Introduction and Elucidation of the Quality of Sagacity in the Extended Variable Precision Rough Sets Model

Electronic Notes in Theoretical Computer Science, Mar 1, 2003

Research paper thumbnail of Fuzzy Outranking Methods Including Fuzzy PROMETHEE

IGI Global eBooks, May 24, 2011

Research paper thumbnail of Measuring and understanding the differences between urban and rural areas

Environment and Planning B: Planning and Design, Jul 27, 2016

Research paper thumbnail of The Development of Benchmarking Techniques in Airport Performance Evaluation Research

Transportation Journal, Jul 1, 2012

The purpose of this article is to further an understanding of the airport sector through a system... more The purpose of this article is to further an understanding of the airport sector through a systematic analysis of the existing studies assessing the economic efficiency and productivity of the sector. A full review of journal papers from 1990 to 2011 was undertaken. The emphasis is on the measurement methodologies, the variables used, and the results associated with the various airport activities. Particular attention is given to the increased employment of mathematical modeling and advanced statistical analysis methods. However, this is also yielding an increasing set of inputs and outputs used for analysis, which can then influence the comparability between studies. As well as overall efficiency, two questions particularly emerge as being of interest for this research—the influence of airport size and ownership structure/governance on efficiency. However, current research does not provide a conclusive answer. A number of research opportunities are identified, including the necessity to more closely include the opinions of relevant stakeholders in order to improve the data analysis system and future research samples.

Research paper thumbnail of An investigation of the role of scale values in the DS/AHP method of multi-criteria decision making

Journal of Multi-criteria Decision Analysis, Nov 1, 2002

DS/AHP is a method of multi‐criteria decision making based on the Dempster–Shafer theory of evide... more DS/AHP is a method of multi‐criteria decision making based on the Dempster–Shafer theory of evidence and the analytic hierarchy process. Central to the utilization of DS/AHP is the composing of preference judgements on identified groups of decision alternatives (DA) across a number of criteria against all the DA present in the problem in question. This paper exposits a series of results whose objectives are to aid in the development of an effective set of preference scale values for use within DS/AHP. These results relate directly to the concomitant level of ignorance (uncertainty) with the judgements made on a single criterion. Two particular directions of investigation are undertaken, firstly in determining the necessary number of scale values available and secondly finding the necessary differences between scale values, dependent on whether an arithmetic or geometric progression is the basis for the scale values. Through an example, the implications and utilization of these results within DS/AHP are illustrated. Copyright © 2003 John Wiley & Sons, Ltd.

Research paper thumbnail of Application and Development of a Fuzzy Analytic Hierarchy Process within a Capital Investment Study

Journal of Economics and Management, 2005

Research paper thumbnail of The Exposition of Fuzzy Decision Trees and Their Application in Biology

IGI Global eBooks, Jan 18, 2011

ABSTRACT This chapter employs the fuzzy decision tree classification technique in a series of bio... more ABSTRACT This chapter employs the fuzzy decision tree classification technique in a series of biological based application problems. With its employment in a fuzzy environment, the results, in the form of fuzzy ‘if .. then ..’ decision rules, bring with them readability and subsequent interpretability. The two contrasting applications considered concern, the age of abalones and the lengths of torpor bouts of hibernating Greater Horseshoe bats. Emphasis is on the visual results presented, including the series of membership functions used to construct the linguistic variables representing the considered attributes and the final fuzzy decision trees constructed. Technical details presented further offer the opportunity to readers to future employ the technique in other biological applications.

Research paper thumbnail of An exploration of how Logistics Service Providers engage with online social networks

Research paper thumbnail of Promothee based performance improvement analysis of police forces in Wales, UK

Research paper thumbnail of Reducts within the variable precision rough set model : A further investigaton

Research paper thumbnail of Condition Class Classification Stability in RST due to Continuous Value Discretisation

Lecture Notes in Computer Science, 2004

ABSTRACT

Research paper thumbnail of Using Dempster-Shafer Theory in Data Mining

IGI Global eBooks, May 24, 2011

Research paper thumbnail of On an inequality of the Kolmogorov type for a second-order differential expression

Proceedings, Sep 8, 1993

In this paper we discuss an integro-differential inequality formed from the square of a second-or... more In this paper we discuss an integro-differential inequality formed from the square of a second-order differential expression. A connection between the existence of the inequality and the Titchmarsh–Weyl m -function is established and it is shown that the best constant in the inequality is determined by the behaviour of the m -function. Analytic results are established for specific classes of problems. A numerical treatment of the inequality is also discussed and estimates of the best constant in specific examples are given.

Research paper thumbnail of A prototype store choice and location modelling system using Dempster-Shafer theory

Expert Systems, Nov 1, 2002

Research paper thumbnail of An Expert System for the Utilisation of the Variable Precision Rough Sets Model

Springer eBooks, 2004

The variable precision rough sets model (VPRS) is a development of the original rough set theory ... more The variable precision rough sets model (VPRS) is a development of the original rough set theory (RST) and allows for the partial (probabilistic) classification of objects. This paper introduces a prototype VPRS expert system. A number of processes for the identification of the VPRS related ß-reducts and their respective ß intervals over the domain of the ß parameter are included. Three data sets are utilised in the exposition of the expert system.

Research paper thumbnail of Using DS/AHP to rank of sectors on their potential to strengthen regional economic development

DS/AHP is a nascent method for multi-criteria decision making (MCDM), applied here to the ranking... more DS/AHP is a nascent method for multi-criteria decision making (MCDM), applied here to the ranking of sectors (industries). Moreover, the preference of each sector over different criteria is dependent on their expected ability to improve the development prospects of a UK region. Due to the large number of sectors considered in this case, the use of more traditional MCDM techniques such as AHP is problematic. The utilisation of DS/AHP alleviates this problem, placing the level of judgement making in the control of the DM. Using DS/AHP allows the evaluation of levels of belief and plausibility on the preference of sectors. With more than one DM involved in this sector-choice problem, a consistent approach to the aggregation of their individual and then group judgements is undertaken. Aspects from the notion of consideration sets from consumer choice theory are utilised to support the identification of a most preferred sub-group of the available sectors.

Research paper thumbnail of The MAUT based CARBS System using Belief Functions: Ranking US National League Baseball Teams

This paper exposits a novel MAUT technique, named CaRBS, which is able to preference rank a numbe... more This paper exposits a novel MAUT technique, named CaRBS, which is able to preference rank a number of alternatives. Fundamentally based around the Dempster-Shafer theory of evidence (DST), the quantification of evidential preference from different criteria is based on belief functions. The use of simplex plots advocates the role of CaRBS as a visual decision support system. The subsequent ranking of alternatives can be based on DST related belief and plausibility measures. Results on the ranking of US baseball teams are presented and shown to be comparable to published work using SMART and PROMETHEE as well as positively demonstrating the use of CaRBS as a tool in group decision making.

Research paper thumbnail of Fuzzy Decision-Tree-Based Analysis of Databases

IGI Global eBooks, May 24, 2011

Research paper thumbnail of Two different gait classifiers - a comparative study

Research paper thumbnail of An introduction of the condition class space with continuous value discretization and rough set theory: Research Articles

Journal of intelligent systems, Feb 1, 2006

Research paper thumbnail of Introduction and Elucidation of the Quality of Sagacity in the Extended Variable Precision Rough Sets Model

Electronic Notes in Theoretical Computer Science, Mar 1, 2003

Research paper thumbnail of Fuzzy Outranking Methods Including Fuzzy PROMETHEE

IGI Global eBooks, May 24, 2011

Research paper thumbnail of Measuring and understanding the differences between urban and rural areas

Environment and Planning B: Planning and Design, Jul 27, 2016

Research paper thumbnail of The Development of Benchmarking Techniques in Airport Performance Evaluation Research

Transportation Journal, Jul 1, 2012

The purpose of this article is to further an understanding of the airport sector through a system... more The purpose of this article is to further an understanding of the airport sector through a systematic analysis of the existing studies assessing the economic efficiency and productivity of the sector. A full review of journal papers from 1990 to 2011 was undertaken. The emphasis is on the measurement methodologies, the variables used, and the results associated with the various airport activities. Particular attention is given to the increased employment of mathematical modeling and advanced statistical analysis methods. However, this is also yielding an increasing set of inputs and outputs used for analysis, which can then influence the comparability between studies. As well as overall efficiency, two questions particularly emerge as being of interest for this research—the influence of airport size and ownership structure/governance on efficiency. However, current research does not provide a conclusive answer. A number of research opportunities are identified, including the necessity to more closely include the opinions of relevant stakeholders in order to improve the data analysis system and future research samples.

Research paper thumbnail of An investigation of the role of scale values in the DS/AHP method of multi-criteria decision making

Journal of Multi-criteria Decision Analysis, Nov 1, 2002

DS/AHP is a method of multi‐criteria decision making based on the Dempster–Shafer theory of evide... more DS/AHP is a method of multi‐criteria decision making based on the Dempster–Shafer theory of evidence and the analytic hierarchy process. Central to the utilization of DS/AHP is the composing of preference judgements on identified groups of decision alternatives (DA) across a number of criteria against all the DA present in the problem in question. This paper exposits a series of results whose objectives are to aid in the development of an effective set of preference scale values for use within DS/AHP. These results relate directly to the concomitant level of ignorance (uncertainty) with the judgements made on a single criterion. Two particular directions of investigation are undertaken, firstly in determining the necessary number of scale values available and secondly finding the necessary differences between scale values, dependent on whether an arithmetic or geometric progression is the basis for the scale values. Through an example, the implications and utilization of these results within DS/AHP are illustrated. Copyright © 2003 John Wiley & Sons, Ltd.

Research paper thumbnail of Application and Development of a Fuzzy Analytic Hierarchy Process within a Capital Investment Study

Journal of Economics and Management, 2005

Research paper thumbnail of The Exposition of Fuzzy Decision Trees and Their Application in Biology

IGI Global eBooks, Jan 18, 2011

ABSTRACT This chapter employs the fuzzy decision tree classification technique in a series of bio... more ABSTRACT This chapter employs the fuzzy decision tree classification technique in a series of biological based application problems. With its employment in a fuzzy environment, the results, in the form of fuzzy ‘if .. then ..’ decision rules, bring with them readability and subsequent interpretability. The two contrasting applications considered concern, the age of abalones and the lengths of torpor bouts of hibernating Greater Horseshoe bats. Emphasis is on the visual results presented, including the series of membership functions used to construct the linguistic variables representing the considered attributes and the final fuzzy decision trees constructed. Technical details presented further offer the opportunity to readers to future employ the technique in other biological applications.

Research paper thumbnail of An exploration of how Logistics Service Providers engage with online social networks

Research paper thumbnail of Promothee based performance improvement analysis of police forces in Wales, UK

Research paper thumbnail of Reducts within the variable precision rough set model : A further investigaton

Research paper thumbnail of Condition Class Classification Stability in RST due to Continuous Value Discretisation

Lecture Notes in Computer Science, 2004

ABSTRACT

Research paper thumbnail of Using Dempster-Shafer Theory in Data Mining

IGI Global eBooks, May 24, 2011

Research paper thumbnail of On an inequality of the Kolmogorov type for a second-order differential expression

Proceedings, Sep 8, 1993

In this paper we discuss an integro-differential inequality formed from the square of a second-or... more In this paper we discuss an integro-differential inequality formed from the square of a second-order differential expression. A connection between the existence of the inequality and the Titchmarsh–Weyl m -function is established and it is shown that the best constant in the inequality is determined by the behaviour of the m -function. Analytic results are established for specific classes of problems. A numerical treatment of the inequality is also discussed and estimates of the best constant in specific examples are given.

Research paper thumbnail of A prototype store choice and location modelling system using Dempster-Shafer theory

Expert Systems, Nov 1, 2002

Research paper thumbnail of An Expert System for the Utilisation of the Variable Precision Rough Sets Model

Springer eBooks, 2004

The variable precision rough sets model (VPRS) is a development of the original rough set theory ... more The variable precision rough sets model (VPRS) is a development of the original rough set theory (RST) and allows for the partial (probabilistic) classification of objects. This paper introduces a prototype VPRS expert system. A number of processes for the identification of the VPRS related ß-reducts and their respective ß intervals over the domain of the ß parameter are included. Three data sets are utilised in the exposition of the expert system.