A Psychometric Approach to the VIKOR Method for Eliciting Subjective Public Assessments (original) (raw)
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Multiattribute evaluation methods are being used without full understanding of the meanings of the weights which characterize the relative importance of the attributes. The weights in the methods do not carry the same meaning, even though the questions asked in the procedures are similar. The weights imply the trade-offs among attributes with respect to certain transformed measures, and the decisionmaker is presumed to be able to specify the appropriate trade-off judgments based on preferences. Five multiattribute evaluation methods are compared deductively based on a common framework in which the meanings of weights are clarified: multiattribute utility theory (MUT), weighting and rating, the analytic hierarchy process, concordance analysis, and computation of equivalent alternatives. For each method, the evaluation procedures are described in mathematical terms and weights are derived and interpreted by means of the preference structure represented by MUT. Transformations between the methods make clear the meanings of weights and make possible iterative procedures for conducting empirical comparisons of the methods.
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An extended VIKOR method using stochastic data and subjective judgments
Computers & Industrial Engineering, 2016
Decision makers (DMs) face different levels of uncertainty throughout the decision making process. In particular, natural language is generally subjective or ambiguous when used to express perceptions and judgments. The aim of this paper is to extend the VIKOR method and develop a methodology for solving multi-criteria decision making (MCDM) problems with stochastic data. The weights of the stochastic decision criteria considered in our extended VIKOR model have been determined using the fuzzy analytic hierarchy process (AHP) method. We present a case study in the banking industry to demonstrate the applicability of the proposed method. We also compare our results with the results obtained from a stochastic version of the super-efficiency data envelopment analysis (DEA) model to exhibit the efficacy of the procedures and algorithms.
Operational Research, 2008
Since the 1980s, when the city of Nantes set up its tram system, tramways and segregated lanes for buses have been thriving in French metropolitan areas, while public transportation has been expanding. The layout of the lines within a city and the introduction of the transportation platform into the public space are the result of the tradeoffs made between the technical stakes of the project and the local stakeholders' expectations. In this article, we propose a methodology that facilitates a process of concertation involving reasoned public discourse (the French word ''Concertation'' does not have any real equivalent in English. It designates a participative decision-making process in which the various stakeholders are able to express their point of view and have it taken into account in the decision-making process). This methodology, based on historical research about past transportation projects, uses multi-criteria decision-making methods to reach a compromise between the technical stakes and local expectations.
Symmetry, 2020
Data symmetry and asymmetry might cause difficulties in various areas including criteria weighting approaches. Preference elicitation is an integral part of the multicriteria decision-making process. Weighting approaches differ in terms of accuracy, ease of use, complexity, and theoretical foundations. When the opinions of the wider audience are needed, electronic surveys with the matrix questions consisting of the visual analogue scales (VAS) might be employed as the easily understandable data collection tool. The novel criteria weighting technique VASMA weighting (VAS Matrix for the criteria weighting) is presented in this paper. It respects the psychometric features of the VAS scales and analyzes the uncertainties caused by the survey-based preference elicitation. VASMA weighting integrates WASPAS-SVNS for the determination of the subjective weights and Shannon entropy for the calculation of the objective weights. Numerical example analyzing the importance of the criteria that af...