Research on the fuzzy effect equilibrium value measurement method

Abstract

Fuzzy number, as the extension of quantity and set, is a common tool for describing uncertain information in practical problems. How to construct measure system reflecting the size characteristics of fuzzy number has important theoretical significance. In this paper, by analyzing the deficiency, and combining with the balance theory of particle system, we establish a measure method for fuzzy equilibrium value based on cut set (CFEV for short), and give the calculation methods for triangular fuzzy number and trapezoidal fuzzy number. Finally, we apply CFEV to a programming example. The result shows that CFEV has good interpretability and easy analysis, it can easily deal with the algebraic operation problems of fuzzy number. All these discussions can provide useful theoretical foundation for fuzzy decision making under complex environment.