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      Some series of intuitionistic fuzzy interactive averaging aggregation operators

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      Springer International Publishing

      MCDM, Intuitionistic fuzzy set, Aggregation operator, Hamacher operation laws

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          Abstract

          In this paper, some series of new intuitionistic fuzzy averaging aggregation operators has been presented under the intuitionistic fuzzy sets environment. For this, some shortcoming of the existing operators are firstly highlighted and then new operational law, by considering the hesitation degree between the membership functions, has been proposed to overcome these. Based on these new operation laws, some new averaging aggregation operators namely, intuitionistic fuzzy Hamacher interactive weighted averaging, ordered weighted averaging and hybrid weighted averaging operators, labeled as IFHIWA, IFHIOWA and IFHIHWA respectively has been proposed. Furthermore, some desirable properties such as idempotency, boundedness, homogeneity etc. are studied. Finally, a multi-criteria decision making method has been presented based on proposed operators for selecting the best alternative. A comparative concelebration between the proposed operators and the existing operators are investigated in detail.

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          Most cited references 39

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          Intuitionistic Fuzzy Aggregation Operators

           Zeshui Xu (2007)
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            Some geometric aggregation operators based on intuitionistic fuzzy sets

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              A New Generalized Pythagorean Fuzzy Information Aggregation Using Einstein Operations and Its Application to Decision Making

               Harish Garg (2016)
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                Author and article information

                Contributors
                harishg58iitr@gmail.com , http://sites.google.com/site/harishg58iitr/
                Journal
                Springerplus
                Springerplus
                SpringerPlus
                Springer International Publishing (Cham )
                2193-1801
                7 July 2016
                7 July 2016
                2016
                : 5
                : 1
                Affiliations
                School of Mathematics, Thapar University Patiala, Patiala, Punjab 147004 India
                Article
                2591
                10.1186/s40064-016-2591-9
                4937014
                27441128
                © The Author(s) 2016

                Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License ( http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

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                Methodology
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                © The Author(s) 2016

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                mcdm, intuitionistic fuzzy set, aggregation operator, hamacher operation laws

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