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

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 I...

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Bibliographic Details
Published in:Fuzzy optimization and decision making Vol. 16; no. 3; pp. 269 - 295
Main Authors: Wan, Shu-Ping, Wang, Feng, Xu, Gai-li, Dong, Jiu-ying, Tang, Jing
Format: Journal Article
Language:English
Published: New York Springer US 01.09.2017
Springer Nature B.V
Subjects:
Artificial Intelligence
Calculus of Variations and Optimal Control; Optimization
Decision making
Electronic commerce
Feasibility studies
Fuzzy logic
Internet
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Nonlinear programming
Operations Research/Decision Theory
Optimization
Probability Theory and Stochastic Processes
Programming
Similarity
Group decision making
Intuitionistic fuzzy programming problem
Interval-valued fuzzy preference relation
Consensus index
Intuitionistic fuzzy programming method
ISSN:1568-4539, 1573-2908
Online Access:Get full text
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Summary: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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ISSN:1568-4539
1573-2908
DOI:10.1007/s10700-016-9250-z