Author/Authors :
Mohammadi B. نويسنده Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran. , Alizadeh E. نويسنده Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran.
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 ?-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.
