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A NEW TECHNIQUE FOR COMPAIRING FUZZY NUMBERS USING AN INDEX OF OPTIMISM
Authors:ARSHAD MAHMOOD  SHI Xi zhi  XU Ji jun
Affiliation:School of Power and Eng., Shanghai Jiaotong Univ., Shanghai 200030, China;School of Power and Eng., Shanghai Jiaotong Univ., Shanghai 200030, China;School of Power and Eng., Shanghai Jiaotong Univ., Shanghai 200030, China
Abstract: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.
Keywords:ranking fuzzy numbers  index of optimism
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