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An intuitionistic fuzzy programming method for group decision making with interval-valued fuzzy preference relations

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Abstract

The paper develops a new intuitionistic fuzzy (IF) programming method to solve group decision making (GDM) problems with interval-valued fuzzy preference relations (IVFPRs). An IF programming problem is formulated to derive the priority weights of alternatives in the context of additive consistent IVFPR. In this problem, the additive consistent conditions are viewed as the IF constraints. Considering decision makers’ (DMs’) risk attitudes, three approaches, including the optimistic, pessimistic and neutral approaches, are proposed to solve the constructed IF programming problem. Subsequently, a new consensus index is defined to measure the similarity between DMs according to their individual IVFPRs. Thereby, DMs’ weights are objectively determined using the consensus index. Combining DMs’ weights with the IF program, a corresponding IF programming method is proposed for GDM with IVFPRs. An example of E-Commerce platform selection is analyzed to illustrate the feasibility and effectiveness of the proposed method. Finally, the IF programming method is further extended to the multiplicative consistent IVFPR.

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Acknowledgments

This research was supported by The National Natural Science Foundation of China (Nos. 71061006, 61263018 and 11461030), The Natural Science Foundation of Jiangxi Province of China (No. 20161BAB201028), Young scientists Training object of Jiangxi province (No. 20151442040081), The Science and Technology Project of Jiangxi province educational department of China (Nos. GJJ150463 and GJJ150466), Graduate Innovation Foundation of Jiangxi province (No. YC2015-B055), Guangxi Philosophy and Social Science Programming Project (No.15FGL011) and the Excellent Young Academic Talent Support Program of Jiangxi University of Finance and Economics.

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Authors and Affiliations

  1. College of Information Technology, Jiangxi University of Finance and Economics, Nanchang, 330013, China

    Shu-Ping Wan, Feng Wang & Gai-li Xu

  2. School of Statistics, Jiangxi University of Finance and Economics, Nanchang, 330013, China

    Jiu-ying Dong

  3. Research Center of Applied Statistics, Jiangxi University of Finance and Economics, Nanchang, 330013, China

    Jiu-ying Dong

  4. School of Computing, Teesside University, Middlesbrough, Ts13ba, UK

    Jing Tang

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  1. Shu-Ping Wan
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  2. Feng Wang
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  3. Gai-li Xu
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  4. Jiu-ying Dong
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  5. Jing Tang
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Correspondence to Shu-Ping Wan.

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Wan, SP., Wang, F., Xu, Gl. et al. An intuitionistic fuzzy programming method for group decision making with interval-valued fuzzy preference relations. Fuzzy Optim Decis Making 16, 269–295 (2017). https://doi.org/10.1007/s10700-016-9250-z

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  • DOI: https://doi.org/10.1007/s10700-016-9250-z

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