On The Ranking Fuzzy Numbers Using Signal/Noise Ratios

در اين مقاله اهميت مشكل بودن رتبه بندي اعداد فازي مورد توجه قرار مي گيرد و همچنين با استفاده از نسبت سيگنال به پارازيت يك روش جديد به اين منظور تعريف مي شود كه در اين روش كميت هاي سيگنال و پارازيت به ترتيب نقطه مياني و spread برشهاي عدد فازي تعريف مي شود.

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 -cut of a fuzzy number, respectively. We use the value of a as the weight of the signal/noise ratio of each -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.