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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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