The Ranking Formula Of Triangular Fuzzy Number And Its Applications

According to the principle of fuzzy mathematics,the ranking functions of triangular fuzzy numbers is defined,and the ranking of triangular fuzzy numbers is studied by using the possible degree.For a set of triangular fuzzy numbers to be ranked,the possible degrees are given according to the different situation,the result is that the triangular fuzzy number is greater than the possibility of another triangular fuzzy number,and it has the characteristic of convenient calculation and other characteristics.Finally,a confidence matrix is established by comparing the results of the two pairs,and a triangular fuzzy number sorting algorithm based on the confidence matrix is given.A kind of probabilistic formula of triangular fuzzy number is given,and some good properties of the formula are obtained by analyzing.A method of ranking triangular fuzzy number based on possibility is proposed,and an example is given.The example shows the feasibility and effectiveness of this sorting method.The combination of set-valued statistical theory and triangular fuzzy number theory is applied to fuzzy comprehensive evaluation,and a new fuzzy comprehensive evaluation model is found,the combination of set-valued analysis and triangular fuzzy number is realized.