A Deviation-Based Approach to Intuitionistic Fuzzy Multiple Attribute Group Decision Making

Zeshui Xu ()
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Zeshui Xu: Shanghai Jiaotong University

Group Decision and Negotiation, 2010, vol. 19, issue 1, No 4, 57-76

Abstract: Abstract The aim of this article is to investigate the approach to multiple attribute group decision making (MAGDM) with intuitionistic fuzzy information. We first introduce a deviation measure between two intuitionistic fuzzy numbers, and then utilize the intuitionistic fuzzy hybrid aggregation operator to aggregate all individual intuitionistic fuzzy decision matrices into a collective intuitionistic fuzzy decision matrix. Based on the deviation measure, we develop an optimization model by which a straightforward formula for deriving attribute weights can be obtained. Furthermore, based on the intuitionistic fuzzy weighted averaging operator and information theory, we utilize the score function and accuracy function to give an approach to ranking the given alternatives and then selecting the most desirable one(s). In addition, we extend the above results to MAGDM with interval-valued intuitionistic fuzzy information.

Keywords: Intuitionistic fuzzy set (IFS); Multiple attribute group decision making (MAGDM); Deviation measure; Intuitionistic fuzzy weighted averaging (IFWA) operator; Intuitionistic fuzzy ordered weighted averaging (IFOWA) operator; Intuitionistic fuzzy hybrid aggregation (IFHA) operator (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (10)

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DOI: 10.1007/s10726-009-9164-z

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