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

Shu-Ping Wan (), Feng Wang, Gai-li Xu, Jiu-ying Dong and Jing Tang
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Shu-Ping Wan: Jiangxi University of Finance and Economics
Feng Wang: Jiangxi University of Finance and Economics
Gai-li Xu: Jiangxi University of Finance and Economics
Jiu-ying Dong: Jiangxi University of Finance and Economics
Jing Tang: Teesside University

Fuzzy Optimization and Decision Making, 2017, vol. 16, issue 3, No 2, 269-295

Abstract: 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.

Keywords: Group decision making; Interval-valued fuzzy preference relation; Intuitionistic fuzzy programming problem; Intuitionistic fuzzy programming method; Consensus index (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10700-016-9250-z

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