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      Some Results on Neutrosophic Triplet Group and Their Applications

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      Symmetry
      MDPI AG

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          Intuitionistic fuzzy sets

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            Some intuitionistic fuzzy Dombi Bonferroni mean operators and their application to multi-attribute group decision making

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              Group Decision Making Based on Heronian Aggregation Operators of Intuitionistic Fuzzy Numbers.

              Archimedean t -conorm and t -norm provide the general operational rules for intuitionistic fuzzy numbers (IFNs). The aggregation operators based on them can generalize most of the existing aggregation operators. At the same time, the Heronian mean (HM) has a significant advantage of considering interrelationships between the attributes. Therefore, it is very necessary to extend the HM based on IFNs and to construct intuitionistic fuzzy HM operators based on the Archimedean t -conorm and t -norm. In this paper, we first discuss intuitionistic fuzzy operational rules based on the Archimedean t -conorm and t -norm. Then, we propose the intuitionistic fuzzy Archimedean Heronian aggregation (IFAHA) operator and the intuitionistic fuzzy weight Archimedean Heronian aggregation (IFWAHA) operator. We also further discuss some properties and some special cases of these new operators. Moreover, we also propose a new multiple attribute group decision making (MAGDM) method based on the proposed IFAHA operator and the proposed IFWAHA operator. Finally, we use an illustrative example to show the MAGDM processes and to illustrate the effectiveness of the developed method.
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                Author and article information

                Contributors
                (View ORCID Profile)
                Journal
                SYMMAM
                Symmetry
                Symmetry
                MDPI AG
                2073-8994
                June 2018
                June 06 2018
                : 10
                : 6
                : 202
                Article
                10.3390/sym10060202
                d4eb76ad-4ed1-433f-846e-a1e7f8c5db52
                © 2018

                https://creativecommons.org/licenses/by/4.0/

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