The Decision Making Models Based On Fuzzy-Valued Comparison Matrices With Approsimate Consistency

In recent years,the complexity and uncertainty of decision problems have been continually enhanced with the rapid development of the society and economy.The decision-making models with fuzzy-valued comparison matrices provide some new methods for solving the decision problems in complex environments.They play an important role in the field of the modern decision-making.Within the framework of the analytic hierarchy process(AHP),the relative importance of alternatives could be expressed as interval reciprocal judgment matrices or triangular fuzzy additive reciprocal comparison matrices through comparing in pairs.In the thesis,the additive approximation-consistency definition of triangular fuzzy additive reciprocal matrix is proposed.Based on the approximation-consistency,the corresponding group decision making model is constructed to solve the group decision making problems.The conclusions include the following three aspects:(1)A new method of obtaining weights from interval multiplicative reciprocal matrices is studied.According to approximation-consistency of interval multiplicative reciprocal matrices,the adjusting method of approximation-consistency is presented,and some numerical examples are compared with others.A new algorithm for solving decision-making problems with interval multiplicative reciprocal matrices is presented.(2)A group decision making model based on triangular fuzzy additive reciprocal matrices with additive approximation-consistency.is studied.The definition of additive approximation-consistency of triangular fuzzy additive reciprocal matrix is proposed and the corresponding properties is studied in detail.(3)The construction method of triangular fuzzy additive reciprocal matrix with additive approximation-consistency is proposed and the compatibility degree is defined.The aggregation operator named CD-IOWA is proposed.A new algorithm is presented to solve the group decision making problems.And numerical examples are compared with others to illuminate the group decision making model.The obtained results extend the existing decision making model and enrich the decision making methodology.