No abstract

Ranking of fuzzy numbers play an important role in decision making, optimization, forecasting etc. fuzzy numbers must be ranked before an action is taken by a decision maker. In this paper we propose a new approach of the fuzzy ranking of generalized trapezoidal fuzzy numbers based on radius of gyration point of centroids. The main advantage of the proposed approach is that the proposed approach provides the correct ordering of generalized and normal trapezoidal fuzzy numbers. We have also used some comparative examples to illustrate the advantage of the proposed approach for ranking of fuzzy numbers.

The classical procedures for testing hypotheses are not appropriate for dealing with imprecise data. After the inception of the notion of fuzzy set theory, there have been attempts to analyze the problem of testing hypothesis for dealing with such imprecise data. In this paper, we consider the fuzzy data instead of crisp ones, and introduce a procedure for testing of hypothesis for imprecise data based on interval type -2 generalized hexagonal fuzzy numbers.