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Generalized Interval-Valued Intuitionistic Hesitant Fuzzy Power Bonferroni Means and Their Applications to Multicriteria Decision Making

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Real Life Applications of Multiple Criteria Decision Making Techniques in Fuzzy Domain

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 420))

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Abstract

In general, the information associated with real-life problems is ambiguous and imprecise, interval-valued intuitionistic hesitant fuzzy sets are an excellent medium to represent the ambiguity of information. The assessment obtained by the Bonferroni mean (BM) can manifest the correlation among the arguments. In this study, the power average operator is fused with the Bonferroni mean under the interval-valued intuitionistic hesitant fuzzy environment to develop some novel power Bonferroni mean operators such as the generalized interval-valued intuitionistic hesitant fuzzy power Bonferroni mean (GIVIHFPBM) and the generalized interval-valued intuitionistic hesitant fuzzy power geometric Bonferroni mean (GIVIHFPGBM). The most prominent characteristic of these proposed operators is that they can not only reflect the correlation among the attributes but also have the unique ability to permit the aggregated values to assist and strengthen each other. Due to this exceptional feature, the GIVIHFPBM and the GIVIHFPGBM operators can reduce the abnormality that may occur in the preference order of the overall aggregated arguments. Further, we investigate some of the special cases and discussed some of the desired properties of the proposed operators. Moreover, an MCDM method is developed based on the proposed operators. Finally, the proposed MCDM method is demonstrated with a numerical example.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Jagannath Barooah College, Jorhat, 785001, India

    Pankaj Kakati

  2. Department of Mathematics, Dibrugarh University, Dibrugarh, 786004, India

    Surajit Borkotokey

Authors
  1. Pankaj Kakati
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  2. Surajit Borkotokey
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Correspondence to Pankaj Kakati .

Editor information

Editors and Affiliations

  1. Department of Computer and Information Science, Raiganj University, Raiganj, West Bengal, India

    Laxminarayan Sahoo

  2. School of Mathematics and Statistics, Southwest University, Chongqing, China

    Tapan Senapati

  3. Iona College, Machine Intelligence Institute, New Rochelle, NY, USA

    Ronald R. Yager

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Kakati, P., Borkotokey, S. (2023). Generalized Interval-Valued Intuitionistic Hesitant Fuzzy Power Bonferroni Means and Their Applications to Multicriteria Decision Making. In: Sahoo, L., Senapati, T., Yager, R.R. (eds) Real Life Applications of Multiple Criteria Decision Making Techniques in Fuzzy Domain. Studies in Fuzziness and Soft Computing, vol 420. Springer, Singapore. https://doi.org/10.1007/978-981-19-4929-6_10

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