Abstract

The crux of the paper is to propose a new ranking method based on a preference relation which is not only easy to compute but also preserving some good properties such as additivity. First, we extend the definition of fuzzy preference relation so that the degree of preference is not confined within 0 and 1. With the extension of the definition, we propose an extended fuzzy preference relation satisfying additivity. By additivity, we mean that if the degree of preference of fuzzy number A over fuzzy number B is x and B over C is y then A over C is x+y.

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