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      A Novel Method for Interval-Value Intuitionistic Fuzzy Multicriteria Decision-Making Problems with Immediate Probabilities Based on OWA Distance Operators

      1 , 2 , 1 , 3
      Mathematical Problems in Engineering
      Hindawi Limited

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          Abstract

          The goal of this work is to develop a novel decision-making method which can solve some complex decision problems that include the following three-aspect information: ( 1 ) information represented in the form of interval-valued intuitionistic fuzzy values (IVIFVs) not only intuitionistic fuzzy values (IFVs), ( 2 ) the probability information and the weighted information, and ( 3 ) the importance degree of each concept in the process of decision-making. Firstly, by integrating OWA operator, probabilistic weight (PW), and individual distance of two IVIFNs in the same formulation, we introduce two new distance operators named PIVIFOWAD operator and IPIVIFOWAD operator, respectively. Secondly, satisfaction degree of an alternative is proposed based on the positive ideal IVIFS and the negative ideal IVIFS and applied to MCDM. Finally, we use an illustrative example to show the feasibility and validity of the new method by comparing with the other existing methods.

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          Most cited references36

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          Operators over interval valued intuitionistic fuzzy sets

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            Some Hamacher Aggregation Operators Based on the Interval-Valued Intuitionistic Fuzzy Numbers and Their Application to Group Decision Making

            Peide Liu (2014)
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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

                Journal
                Mathematical Problems in Engineering
                Mathematical Problems in Engineering
                Hindawi Limited
                1024-123X
                1563-5147
                July 05 2018
                July 05 2018
                : 2018
                : 1-11
                Affiliations
                [1 ]Data Recovery Key Laboratory of Sichuan Province, Neijiang Normal University, Neijiang, Sichuan 641000, China
                [2 ]School of Mathematics and Information, Neijiang Normal University, Neijiang, Sichuan 641000, China
                [3 ]School of Computing, Ulster University, Jordanstown Campus, UK
                Article
                10.1155/2018/1359610
                ff6c3db4-f921-4a42-87f4-1c7858757eca
                © 2018

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

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