A New Evaluation Method for Single Scheme Based on Incomplete Triangular Fuzzy Numbers Judgment Matrix

Abstract

Expert's preference information is in the form of incomplete triangular fuzzy numbers judgment matrix (ITFNJM) in the problem of simulation credibility evaluation, a new method of index aggregation focused on the evaluation for single scheme is investigated in this paper. First, the uncertainty degree and Hausdorff distance of triangular fuzzy number (TFN) are defined. Then, the expert's objective weight which is calculated based on the incomplete triangular fuzzy number judgment matrix and the subjective weight are aggregated into an expert's synthesis weight (ESW) based on convex combination. Next, a least square decision model (LSDM) is established with the expert's synthesis weight (ESW) to determine the index weight, and a method for index aggregation with incomplete triangular fuzzy number judgment matrix is further proposed. Finally a numerical example is illustrated to validate the reasonableness and effectiveness of the proposed method.