On priority of trapezoidal fuzzy number complementary judgment matrix based on two-tuple linguistic
Zaiwu Gong · Systems engineering and electronics · 2007
Two-tuple linguistic can solve the problem of information being distorted in the process of information aggregating.Based on the principle that two-tuple linguistic and the corresponding trapezoidal fuzzy number are equivalent,and in order to overcome the uncertainty problem of the trapezoidal fuzz numbers comparison,a priority approach to trapezoidal fuzzy number complementary judgment matrix based on the two-tuple linguistic is proposed.The transformation between trapezoidal fuzzy number and two-tuple linguistic is discussed,the relation between them is put forward;using the relationship between trapezoidal fuzzy number complementary judgment matrix and two-tuple linguistic judgment matrix,a maximum entropy priority method is put forward wiht group judgment information taking the form of trapezoidal fuzzy preference,the aggregation steps of collective trapezoidal fuzzy number complementary judgment matrix are given.Finally,it is illustrated by a numerical example that the proposed method can effectiveluy avoid the information being lost and distorted during the process of the trapezoidal fuzzy numbers appraisal information aggregating.