a new method for comparing ‎fuzzy‎ quantities based on scaler ‎value and middle-point of fuzzy ‎numbers

Authors

rahim saneifard

department of applied mathematics‎, ‎urmia branch‎, ‎islamic azad university‎, ‎urmia‎, ‎iran.‎‎ rasoul saneifard

department of engineering technology‎, ‎texas southern university‎, ‎houston‎, ‎texas‎, ‎usa.

abstract

the importance as well as the difficulty 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 defined as the middle-point and the spread of each $gamma$-cut of a fuzzy number, respectively. we use the value of a as the weight of the signal/noise ratio of each $gamma$-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 different kinds of membership functions.‎

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Journal title:
international journal of industrial mathematics

جلد ۹، شماره ۲، صفحات ۹۹-۱۰۴

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