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A Multi-objective Matching Approach for One-Shot Multi-attribute Exchanges Under a Fuzzy Environment

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Abstract

Although many researchers have realized that the trade determination problem in one-shot multi-attribute exchanges is an important decision problem, few studies can be really applied to deal with this issue under a fuzzy environment. This paper proposes a multi-objective matching approach for one-shot multi-attribute exchanges with fuzzy information. First, we use fuzzy set theory to represent the traders’ orders with fuzzy information and then give a framework for the proposed multi-objective matching approach. Second, we present a novel calculation method of the matching degree based on the improved fuzzy information axiom. According to the matching degree, we build a fuzzy multi-objective optimization model (FMOM) for the trade determination problem, where two criteria, i.e., profits and satisfactions, are considered simultaneously. Afterward, in order to solve the FMOM, the fuzzy chance constrained programming technique based on credibility measures and the fuzzy goal programming method are introduced to convert it into a crisp single objective one. Finally, we conduct the numerical study and analysis on a practical example to illustrate the application and effectiveness of the proposed multi-objective matching approach.

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Acknowledgments

This work was partly supported by the National Natural Science Foundation of China (Project Nos. 71371190, 70801012, 71271217, 71210003, and 71221021), and the Fundamental Research Funds for the Central Universities (Project No. N130506001). The authors also thank the Editor and Reviewers for their insightful comments and valuable suggestions to improve this paper.

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Authors and Affiliations

  1. Department of Information Management and Decision Sciences, School of Business Administration, Northeastern University, Shenyang, 110819, China

    Zhong-Zhong Jiang

  2. School of Business, Central South University, Changsha, 410083, China

    Chunqiao Tan & Xiaohong Chen

  3. Department of Mathematics, College of Sciences, Northeastern University, Shenyang, 110819, China

    Ying Sheng

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  1. Zhong-Zhong Jiang
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  2. Chunqiao Tan
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  3. Xiaohong Chen
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  4. Ying Sheng
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Correspondence to Chunqiao Tan.

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Jiang, ZZ., Tan, C., Chen, X. et al. A Multi-objective Matching Approach for One-Shot Multi-attribute Exchanges Under a Fuzzy Environment. Int. J. Fuzzy Syst. 17, 53–66 (2015). https://doi.org/10.1007/s40815-015-0001-z

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