Symmetric Intuitionistic Fuzzy Weighted Mean Operators Based on Weighted Archimedean t-Norms and t-Conorms for Multi-Criteria Decision Making

Ma, Zhen Ming; Yang, Wei

doi:10.15388/20-INFOR390

Informatica

Symmetric Intuitionistic Fuzzy Weighted Mean Operators Based on Weighted Archimedean t-Norms and t-Conorms for Multi-Criteria Decision Making

Volume 31, Issue 1 (2020), pp. 89–112

Zhen Ming Ma Wei Yang

https://doi.org/10.15388/20-INFOR390

Pub. online: 23 March 2020 Type: Research Article

Open Access

Received
1 February 2019

Accepted
1 September 2019

Published
23 March 2020

Abstract

Using different operational laws on membership and non-membership information, various intuitionistic fuzzy aggregation operators based on Archimedean t-norm and t-conorm or their special cases have been extensively investigated for multi-criteria decision making. In spite of this, they are not suitable for some practical cases. In this paper, symmetric intuitionistic fuzzy weighted mean operators w.r.t. general weighted Archimedean t-norms and t-conorms are introduced to deal neutrally or fairly with membership and non-membership information to meet the need of decision makers in some cases. The relationship among the proposed operators and the existing ones is discussed. Particularly, using the parameters in the aggregation operators, the attitude whether the decision maker is optimistic, pessimistic or impartial is reflected. At last, an example is given to show the behaviour of the proposed operators for multi-criteria decision making under intuitionistic fuzzy environment.

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Biographies

Ma Zhen Ming

dmgywto@126.com

Z.M. Ma is an associate professor at School of Mathematics and Statistics, Linyi University. He has received his MS degree in systems theory and PhD in computational mathematics from the School of Mathematics and Statistics, Wuhan University. His current research is focused on decision-making theory and intelligent decision support systems.

Yang Wei

wyoeng@126.com

W. Yang is a lecturer at School of Mathematics and Statistics, Linyi University. She has received her MS degree in applied mathematics from the School of Scineces, University of Science and Technology, Beijing. Her current research is focused on decision-making theory.

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Keywords

multi-criteria decision making intuitionistic fuzzy set weighted Archimedean t-norm and t-conorm symmetric intuitionistic fuzzy weighted mean operator

Funding

This research was supported by the NSF of Shandong Province (No. ZR2017MG027) and AMEP (DYSP) of Linyi University (No. LYDX2014BS017).

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