关键词: 三角模糊数, 多属性决策, 互补判断矩阵, 建模

Abstract: In order to obtain the mathematical model of Multi-Attribute Decision Making （MADM） under condition of group decision making, linguistic variable and triangular fuzzy number is introduced into MADM in this research. The entries in decision matrix and weights of all attributes are represented by triangular fuzzy number or linguistic variable. The final evaluation value of each alterative is achieved by means of Simple Additive Weighting method （SAW）. The degree of dominance between alternatives is defined by the way of difference of two triangular fuzzy numbers. The complementary judgment matrix is built up on degree of dominance between alternatives. The ordering vector of alternatives is figured out by using the least-square method. The order of alternatives is gained according to the value of element of the order vector.

Key words: triangular fuzzy number, Multi-Attribute Decision Making（MADM）, complementary decision matrix, modeling