The Theory And Application Of The Consistency Of Two Kinds Of Fuzzy Judgment Matrices

The Analytic Hierarchy Process (AHP) is an effective decision method which combines with qualitative and quantitative analysis. It has been widely applied to society, economy, management and engineering. With the development of AHP theory and the actual requirement of applications, people consider AHP with fuzzy environment and develop a new theory method - Fuzzy Analytic Hierarchy Process (FAHP). The research of FAHP is an important direction for discussion in recently years.This paper studies the theory and application of the consistency of two kinds of fuzzy judgment matrices in FAHP. The main content and achievement of this paper are as follows:Chapter 1 introduces some basic concepts on decision making. The basic theory of AHP is briefly reviewed. It analyzes the forming background of AHP and the main existent problems of the consistency of two kinds of fuzzy judgment matrices in FAHP. The main research contents in this paper are also presented.In chapter 2, based on the existing definitions of two kinds of fuzzy judgment matrices and the main existent problems of these definitions, the new definitions of two kinds of fuzzy judgment matrices are proposed, which are supplements and enrichment of FAHP.In chapter 3, according to the new consistency definitions, the text studies the new transformation relations of two kinds of consistent fuzzy judgment matrices.In chapter 4, the main ideas of AHP and the existent method to determine priorities based on two kinds of fuzzy judgment matrices are reviewed. Aiming at the existent problem of AHP for ranking alternatives, a new parameter approach to determine priorities in AHP is proposed, which through determine the logical relation of elements of consistent reciprocal judgment matrix with priority and the parameterand the logical relation of elements of consistent complementary judgment matrix with priority and the parameter.In chapter 5, with regard to interval reciprocal judgment matrix, interval complementary judgment matrix and triangle fuzzy number judgment matrix given by decision maker, uncertain attribute hierarchical models are proposed respectively.