Research On Priorities Of Analytic Hierarchy Process And Problems Of Fuzzy Multiple Attribute Decision Making

Multi-attribute decision making (MADM) is a specific method used to rank a group of alternatives and choose the best one with given information. Generally speaking, MADM involves two steps. First is to obtain decision information, which includes attribute values and attribute priorities. How to derive the attribute priorities is an important research aspect in MADM. Second is using different aggregation and ranking methods to obtain a ranking order and then choose the best alternative. The main researches of this thesis are analytic hierarchy process(AHP) and problems of fuzzy multi-attribute decision making and achievements are as follows.1. For problems existing in AHP, new parameter prioritization methods (PPM1) and (PPM2) for priority vectors of fuzzy consistent and positive reciprocal judgment matrices are proposed based on the consistency of human thinking. The proposed methods show the logically relation of elements of fuzzy consistent and positive consistent reciprocal judgment matrix with priorities and parameters and the logically relation of priorities with parameters. Parameters π,θ determine the discrimination ratios of priority. Parameter β relates to selecting scales. Eight important results are obtained. For fuzzy consistent judgment matrix: (1) the priority of ranked alternatives does not relate to parameter π, but only to the summation of every row of elements. (2) For the same fuzzy consistent complementary judgment matrix, there are a family priority vectors. Taking different parameters does not change the order of alternatives. (3) If the value of parameter is raised, the discrimination rate of priority of ranked objectives will increase. It shows that methods to determine priority good or bad do not depend on the discrimination ratios of priority. (4) Information are incomplete by employing fuzzy consistent judgment matrix to determine priority vectors, parameter π must be considered. This shows that scales and the consistency condition can only determine the order of alternatives, but not priorities. An approach to determine parameter π is proposed. For positive reciprocal judgment matrix: (5) The priority of ranked alternatives does not relate to the parameters, but only to the geometric mean of elements lined in...