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ÎÄÕÂÃû£ºThe Weighted Geometric Maclaurin Symmetric Mean Aggregation Operator and Its Application in Multi-Criteria Decision Making ÔÓÖ¾£ºICIC Express Letters ÆÚ¾í£ºVolume 9, Issue 9, September 2015 ×÷ÕߣºJing Liu and Yongrui Duan |
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Accession number: 20153301169257 Title: The weighted geometric maclaurin symmetric mean aggregation operator and its application in multi-criteria decision making Authors: Liu, Jing1 Email author liujingta@126.com; Duan, Yongrui2 Email author yrduan@163.com Author affiliation: 1 School of Mathematics and Statistics, Zhejiang University of Finance and Economics, No. 18, Xueyuan Street, Xiasha Higher Education Park, Hangzhou, China 2 School of Economics and Management, Tongji University, No. 1239, Siping Road, Yangpu District, Shanghai, China Source title: ICIC Express Letters Abbreviated source title: ICIC Express Lett. Volume: 9 Issue: 9 Issue date: August 1, 2015 Publication year: 2015 Pages: 2353-2359 Language: English ISSN: 1881803X Document type: Journal article (JA) Publisher: ICIC Express Letters Office Abstract: Similar to Bonferroni mean, Maclaurin symmetric mean (MSM) can also reflect the correlation of the aggregated arguments. In this paper, in order to reflect more attention to the individual opinions, we first propose a weighted geometric MSM (WGMSM) and study its various properties, such as reducibility, idempotency, monotonicity, and boundary. Then, we extend WGMSM operator to accommodate the intuitionistic fuzzy environment, and develop an intuitionistic fuzzy WGMSM (IFWGMSM) operator. Finally, based on the IFWGMSM operator, we propose an approach to deal with the correlative multi-criteria decision making. Finally, a practical example is given to illustrate our proposed method. © ICIC International 2015. Number of references: 11 Main heading: Decision making Controlled terms: Fuzzy sets - Mathematical operators Uncontrolled terms: Aggregation operator - Idempotency - Intuitionistic fuzzy - Intuitionistic fuzzy sets - ITS applications - Maclaurin symmetric mean - Monotonicity - Multi criteria decision making Classification code: 912.2 Management - 921 Mathematics Database: Compendex Compilation and indexing terms, © 2015 Elsevier Inc. |

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