on the ranking fuzzy numbers using signal/noise ratios

نویسندگان

r. saneifard

department of mathematics, urmia branch, islamic azad university, urmia, iran.

چکیده

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 de ned 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 di erent kinds of membership functions.

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عنوان ژورنال:
international journal of industrial mathematics

جلد ۷، شماره ۱، صفحات ۱۰۷-۱۱۳

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