The Properties of Fuzzy Tensor and Its Application in Multiple Attribute Group Decision Making

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2019Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Fuzzy Systems, volume 27, pages 589-597 (issn: 1063-6706, eissn: 1941-0034,

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Authors: Shengyue Deng; Jianzhou Liu; Xinfan Wang 0001;

doi: 10.1109/tfuzz.2018.2865923

The Properties of Fuzzy Tensor and Its Application in Multiple Attribute Group Decision Making

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Abstract

The properties of fuzzy tensor and the product of fuzzy tensor and fuzzy vector are studied in the paper. The concept of fuzzy tensor is defined through expanding the fuzzy matrix. The product of fuzzy tensor and fuzzy vector is proved to be a fuzzy linear transformation. The general form of the fuzzy synthetic evaluation model is established to solve multiple attribute group decision making problems. Finally, two numerical examples of multiple attribute group decision making are provided to demonstrate the feasibility and efficiency of the fuzzy synthetic evaluation.

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Xiangtan University
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