Some Improved Linguistic Intuitionistic Fuzzy Aggregation Operators and Their Applications to Multiple-Attribute Decision Making

Peide Liu and Peng Wang
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Peide Liu: School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, China
Peng Wang: School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, China

International Journal of Information Technology & Decision Making (IJITDM), 2017, vol. 16, issue 03, 817-850

Abstract: Linguistic intuitionistic fuzzy numbers (LIFNs) is a new concept in describing the intuitionistic fuzzy information, which membership and non-membership are expressed by linguistic terms, so it can more easily express the fuzzy information, and some research results on LIFNs have been achieved. However, in the existing researches, some linguistic intuitionistic fuzzy aggregation operators are based on the traditional operational rules, and they have some drawbacks for multi-attribute decision making (MADM) in the practical application. In order to overcome these problems, in this paper, we proposed some improved operational rules based on LIFNs and verified their some properties. Then we developed some aggregation operators to fuse the decision information represented by LIFNs, including the improved linguistic intuitionistic fuzzy weighted averaging (ILIFWA) operator and the improved linguistic intuitionistic fuzzy weighted power average (ILIFWPA) operator. Further, we proved their some desirable properties. Based on the ILIFWA operator and the ILIFWPA operator, we presented some new methods to deal with the multi-attribute group decision making (MAGDM) problems under the linguistic intuitionistic fuzzy environment. Finally, we used some practical examples to illustrate the validity and feasibility of the proposed methods by comparing with other methods.

Keywords: Linguistic intuitionistic fuzzy numbers; improved operational rules; weighted averaging operator; power average operator; multi-attribute decision making (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (23)

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DOI: 10.1142/S0219622017500110

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