Triangular Fuzzy Number Judgment Matrix Theory and Priority Method

Many classical judgment matrix theories can not be applied to triangular fuzzy judgment matrix owing to its complexity and particularity.Firstly,the problems of triangular fuzzy judgment matrix priority weight in existing papers are proposed,and proved the properties of classical judgment matrix are right when they are applied to triangular fuzzy judgment matrix.Based on the properties proved,least square method programming model of triangular fuzzy reciprocal and complementary judgment matrix are established.The weight vector of triangular fuzzy judgment matrix is obtained by solving the mode1.By using an existing priority formula of triangular fuzzy numbers,the decision alternatives are ranked.Finally,a numerical example is given,and result valid the validity and effectiveness of the method in this paper.