Comparison And Ranking Of Fuzzy Numbers Based On Risk

Fuzzy number ranking is an important problem in fuzzy multi-attribute decision-making.In order to further study the problem of comparison and ranking of fuzzy numbers,the common problem of error risk in the ranking of fuzzy numbers is proposed.According to the distribution of membership functions of fuzzy numbers,the membership functions of twodimensional fuzzy numbers are given.On this basis,the possibility is proposed.Measure definition.Aiming at the two fuzzy number ranking problems,the definitions of risk degree and credibility are proposed,and the risk-based fuzzy number ranking method is given based on the risk degree definition formula.The ranking of two fuzzy numbers is extended to multiple fuzzy numbers,and the definition of the risk ranking matrix for the sorting of fuzzy arrays is given to prove the transitivity of the risk degree of fuzzy numbers.For the ranking problem of multiple fuzzy numbers,the definitions of risk order value and credibility order value are given,and for the ranking problem of multiple fuzzy numbers in fuzzy multi-attribute decision-making,a riskbased minimization or a credibility-based maximum is proposed.A sorted ranking method and a comprehensive risk calculation method for a ranking scheme.Finally,two calculation examples are given to illustrate the feasibility and effectiveness of the proposed method.The dissertation has 25 figures,1 tables and 68 references.