Fuzzy risk analysis method based on trapezoidal intuitionistic fuzzy numbers

Abstract

In this paper, a new fuzzy risk analysis method is proposed based on trapezoidal intuitionistic fuzzy numbers. A new weighted similarity measure between trapezoidal intuitionistic fuzzy numbers is presented based on centers-of-gravity of membership and nonmembership functions. In a fuzzy risk analysis problem, the linguistic values and probability of failure are represented as trapezoidal intuitionistic fuzzy numbers. The proposed similarity is applied to translate the risk of failure into proper linguistic value. It is showed that the proposed model is an effective method for fuzzy risk analysis and the weight in similarity measure improves the flexibility of a system.