A New Ranking Method for Intuitionistic Fuzzy Numbers
نویسنده
چکیده
In this paper I will introduce the trapezoidal intuitionistic fuzzy numbers (IF numbers) and will prove some operations for them. Also I am going to propose a new ordering method for IF numbers in which I will consider two characteristic values of membership and non-membership functions for an IF number. These values are defined by the integral of the inverse fuzzy membership and non-membership functions multiplied by the grade with powered parameter. I will introduce the definition of intuitionistic fuzzy numbers (IFN) and make some operations on IF numbers. In section 4, I will review some ranking methods for intuitionistic fuzzy numbers. Then the characteristic value for fuzzy number introduced by Chiao [3] is generalized in the case of intuitionistic fuzzy numbers and I will propose a ranking method for IF numbers in section 5. 2. Basic definitions and properties In this section I will review the basic concepts of fuzzy numbers and intuitionistic fuzzy sets.
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