IMPROVING CONSISTENCY EVALUATION IN FUZZY MULTI-ATTRIBUTE PAIRWISE COMPARISON-BASED DECISION-MAKING METHODS

Farhad Shams (), Sherif Mohamed () and Aminah Robinson Fayek ()
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Farhad Shams: Department of Civil and Environmental Engineering, Hole School of Engineering, University of Alberta, Edmonton, Alberta T6G 2W2, Canada
Sherif Mohamed: Griffith School of Engineering, Griffith University, Gold Coast Campus, QLD 4222, Australia
Aminah Robinson Fayek: Department of Civil and Environmental Engineering, 3-013 Markin/CNRL Natural Resources Engineering Facility, Hole School of Construction Engineering, University of Alberta, Edmonton, Alberta, T6G 2W2, Canada

Asia-Pacific Journal of Operational Research (APJOR), 2014, vol. 31, issue 04, 1-23

Abstract: A typical approach to handle the complexity of multi-faceted decision-making problems is to use multi-attribute decision-making (MADM) methods based on pairwise comparisons. Fuzzy set theory has also been employed to cope with the uncertainty and vagueness involved in conducting the comparisons between components of a decision model. An important issue regarding the reliability of the output is the consistency of pairwise comparisons provided by the decision maker(s). Using the MADM method developed by Lu et al. (2007) as a foundation, this paper proposes an algorithm for evaluating the consistency level of pairwise comparison matrices, where linguistic data are used. A crisp numeric scale has been introduced to consider the priority of linguistic data and to avoid the complexity of handling fuzzy calculations in consistency evaluation of pairwise comparison matrices. As an advantage, the proposed method of consistency evaluation is capable of assessing the degree of inconsistency among the pairwise comparisons. Therefore, the acceptance or rejection of the pairwise comparisons can be determined based on the desired degree of tolerance in accepting inconsistent judgments. An application of a revised MADM method is then demonstrated in a case study involving flood mitigation project selection in Australia.

Keywords: Fuzzy multi-attribute decision making; pairwise comparisons; linguistic scale; consistency evaluation; transitivity (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0217595914500249

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