A NEW TECHNIQUE FOR COMPAIRING FUZZY NUMBERS USING AN INDEX OF OPTIMISM

IntroductionFuzzy numbers,or fuzzy subsets of the realline R,are a convenientconceptfor the representa-tion and arithmetic manipulation of imprecise nu-merical quantities1,2 ] .In applications,the problemof comparison or ranking fuzzy numbers arises nat-urally.For example,in a fuzzy decision- analysiscontext3 ] ,comparison of fuzzy expected utilitieslooms imminent.Many methods for comparing two or morefuzzy numbers have been suggested in the litera-ture as surveyed in Ref.4]. Generally,th…

A NEW TECHNIQUE FOR COMPAIRING FUZZY NUMBERS USING AN INDEX OF OPTIMISM

Fuzzy numbers are convenient for representing imprecise numerical quantities in a vague environment, and their comparison or ranking is very important for application purposes. Despite many methods suggested in the literature, there is no single measure that is universally applicable to a wide variety of situations. This paper suggested a new method for comparing fuzzy numbers based on the combination of maximizing possibility and minimizing possibility using an index of optimism in 0,1] reflecting the decision makers' risk taking attitude. The method is simple, but has many comparative advantages.