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Journal of Applied Sciences

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Multi-criteria Decision Making Based on Variable Weights and k-Additive Fuzzy Measures

ZHANG Ling1, ZHOU De-qun1, ZHANG Jia-chun2   

  1. 1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;

    2. Academic Administration Office, Shanghai University, Shanghai 200444, China

  • Received:2006-08-16 Revised:2007-03-05 Online:2007-07-30 Published:2007-07-30

Cited

4

Abstract: As k-additive fuzzy measures are flexible, the importance of decision-making criteria and their coalitions are modelled by k-additive fuzzy measures for the multi-criteria decision-making (MCDM) problems with interaction. The axiomatic system of variable weight and local state variable weight are introduced based on the k-additive fuzzy measures and the existing theories of variable weight. Determination of k-additive fuzzy measures for criteria and their coalitions are discussed based on Marichal entropy. Synthetical values of alternatives are calculated by fuzzy integrals. Finally, an example of selecting the succeed resource for coal enterprice is given to show that the theory and the method are reasonable and feasible.

Key words: multi-criteria decision making with interaction, k-additive fuzzy measures, local state variable weight vector
, Marichal entropy, fuzzy integrals, variable weight vector