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      Multiple-Attribute Decision-Making Problem Using TOPSIS and Choquet Integral with Hesitant Fuzzy Number Information

      1 , 2 , 3
      Mathematical Problems in Engineering
      Hindawi Limited

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          Abstract

          The paper aims are to present a method to solve the multiple-attribute decision-making (MADM) problems under the hesitant fuzzy set environment. In MADM problems, the information collection, aggregation, and the measure phases are crucial to direct the problem. However, to handle the uncertainties in the collection data, a hesitant fuzzy number is one of the most prominent ways to express uncertain and vague information in terms of different discrete numbers rather than a single crisp number. Additionally, to aggregate and to rank the collective numbers, a TOPSIS (“Technique for Order of Preference by Similarity to Ideal Solution”) and the Choquet integral (CI) are the useful tools. Keeping all these features, in the present paper, we combine the TOPSIS and CI methods for hesitant fuzzy information and hence present a method named as TOPSIS-CI to address the MADM problems. The presented method has been described with a numerical example. Finally, the validity of the stated method as well as a comparative analysis with the existing methods is addressed in detail.

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          Hesitant fuzzy sets

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            Hesitant fuzzy information aggregation in decision making

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              Distance and similarity measures for hesitant fuzzy sets

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                Author and article information

                Contributors
                Journal
                Mathematical Problems in Engineering
                Mathematical Problems in Engineering
                Hindawi Limited
                1563-5147
                1024-123X
                October 16 2020
                October 16 2020
                : 2020
                : 1-12
                Affiliations
                [1 ]School of Mathematics, Thapar Institute of Engineering and Technology, Deemed University, Patiala 147004, Punjab, India
                [2 ]Department of Mathematics, University of Velayat, Iranshahr, Iran
                [3 ]Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
                Article
                10.1155/2020/9874951
                6a656a03-66a5-489a-8eb2-87b449d1ea66
                © 2020

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

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