on the ranking fuzzy numbers using signal/noise ratios
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abstract
the importance as well as the diculty of the problem of ranking fuzzy numbers is pointed out. here we consider approaches to the ranking of fuzzy numbers based upon the idea of associating with a fuzzy number a scalar value, its signal/noise ratios, where the signal and the noise are dened as the middle-point and the spread of each a-cut of a fuzzy number, respectively. we use the value of a as the weight of the signal/noise ratio of each a-cut of a fuzzy number to calculate the ranking index of each fuzzy number. the proposed method can rank any kinds of fuzzy numbers with dierent kinds of membership functions.
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Journal title:
international journal of industrial mathematicsجلد ۷، شماره ۱، صفحات ۱۰۷-۱۱۳
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