Journal
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS
Volume 39, Issue 1, Pages 86-95Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMCA.2009.2007946
Keywords
Decision making; fuzzy inference; fuzzy utility; nash solution
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A fuzzy inference-based algorithm with rules using the making considering the Nash solution is proposed for group decision making considering the finite discriminating abilities of real decision makers (DMs). It provides a solution that can capture and incorporate the imprecision of real people at declaring their preferences, and hence, it reflects more faithfully the DMs' opinions. The algorithm is applied to a purchase project of a storage area network with two DMs and three options. It shows how the algorithm can provide a unique solution whereas customary crisp methods are either unable to do it or reveal a risk of choosing, in 16.5% of the cases, an option that does not match with the preferences declared by the group of DMs as a whole. The algorithm aims for processes where the options are difficult to evaluate, circumstance that makes clear that human beings cannot provide unreal crisp values, and that the solution changes if preference information is only partially taken.
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