Extensions of Dombi Aggregation Operators for Decision Making under m-Polar Fuzzy Information

Muhammad, Akram and Naveed, Yaqoob and Ghous, Ali and Wathek, Chammam (2020) Extensions of Dombi Aggregation Operators for Decision Making under m-Polar Fuzzy Information. Journal of Mathematics, 2020: 4739567. pp. 1-20. ISSN 2314-4629 / 2314-4785

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Abstract

An m-polar fuzzy set is a powerful mathematical model to analyze multipolar, multiattribute, and multi-index data. The m-polar fuzzy sets have appeared as a useful tool to portray uncertainty in multiattribute decision making. The purpose of this article is to analyze the aggregation operators under the m-polar fuzzy environment with the help of Dombi norm operations. In this article, we develop some averaging and geometric aggregation operators using Dombi t-norm and t-conorm to handle uncertainty in m-polar fuzzy (mF, henceforth) information, which are mF Dombi weighted averaging (mFDWA) operator, mF Dombi ordered weighted averaging (mFDOWA) operator, mF Dombi hybrid averaging (mFDHA) operator, mF Dombi weighted geometric (mFDWG) operator, mF Dombi weighted ordered geometric operator, and mF Dombi hybrid geometric (mFDHG) operator. We investigate properties, namely, idempotency, monotonicity, and boundedness, for the proposed operators. Moreover, we give an algorithm to solve multicriteria decision-making issues which involve mF information with mFDWA and mFDWG operators. To prove the validity and feasibility of the proposed model, we solve two numerical examples with our proposed models and give comparison with mF-ELECTRE-I approach (Akram et al. 2019) and mF Hamacher aggregation operators (Waseem et al. 2019). Finally, we check the effectiveness of the developed operators by a validity test.

Item Type: Article
Uncontrolled Keywords: Nil
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Applied Sciences (FEAS) > Department of Basic Sciences Faisalabad
Depositing User: Dr Naveed Yaqoob
Date Deposited: 08 Sep 2020 06:36
Last Modified: 08 Sep 2020 06:36
URI: http://research.riphah.edu.pk/id/eprint/885

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