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Intuitionistic fuzzy Dombi aggregation operators and their application to multiple attribute decision-making

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Abstract

The purpose of this paper is to introduce the concepts of Dombi t-norm and Dombi t-conorm to aggregate intuitionistic fuzzy information. First, we have proposed some new operational laws of intuitionistic fuzzy numbers (IFNs) based on Dombi t-norm and t-conorm. Furthermore, based on these operational laws, we have introduced intuitionistic fuzzy Dombi weighted averaging (IFDWA) operator, intuitionistic fuzzy Dombi order weighted averaging (IFDOWA) operator, intuitionistic fuzzy Dombi hybrid averaging (IFDHA) operator, intuitionistic fuzzy Dombi weighted geometric (IFDWG) operator, intuitionistic fuzzy Dombi order weighted geometric (IFDOWG) operator, and intuitionistic fuzzy Dombi hybrid geometric (IFDHG) operator. Moreover, some suitable properties of these operators are also discussed. Then, utilizing these proposed operators, we have presented an algorithm to solve multiattribute decision-making (MADM) problems under an intuitionistic fuzzy environment. Finally, we have utilized a numerical example to compare the flexibility of the proposed method with the other existing methods.

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Acknowledgements

We gratefully acknowledge the comments of the anonymous learned referees, which substantially helps us to improve the quality of the paper. The author, Utpal Mandal, would like to thank the Council of Scientific and Industrial Research (CSIR), India, for granting the financial support to continue this research work under the Junior Research Fellowship (JRF) scheme with sanctioned Grant No. 09/1269(0001)/2019-EMR-I, Dated 02/07/2019.

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  1. Department of Mathematics, Kazi Nazrul University, Asansol, 713 340, India

    Mijanur Rahaman Seikh & Utpal Mandal

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  1. Mijanur Rahaman Seikh
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Correspondence to Mijanur Rahaman Seikh.

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Seikh, M.R., Mandal, U. Intuitionistic fuzzy Dombi aggregation operators and their application to multiple attribute decision-making. Granul. Comput. 6, 473–488 (2021). https://doi.org/10.1007/s41066-019-00209-y

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