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Open AccessArticle

Multi-Attribute Decision-Making Based on m-Polar Fuzzy Hamacher Aggregation Operators

1
Department of Mathematics, University of the Punjab, New Campus, Lahore 4590, Pakistan
2
BORDA Research Unit and IME, University of Salamanca, 37007 Salamanca, Spain
*
Authors to whom correspondence should be addressed.
Symmetry 2019, 11(12), 1498; https://doi.org/10.3390/sym11121498
Received: 27 November 2019 / Revised: 5 December 2019 / Accepted: 9 December 2019 / Published: 10 December 2019
In this paper, we introduce certain aggregation operators, namely, the m-polar fuzzy (mF) Hamacher weighted average operator, mF Hamacher ordered weighted average (mFHOWA) operator, mF Hamacher hybrid average (mFHHA) operator, mF Hamacher weighted geometric (mFHWG) operator, mF Hamacher weighted ordered geometric operator, and mF Hamacher hybrid geometric (mFHHG) operator. We discuss some properties of these operators, inclusive of their ability to implement both symmetric and asymmetric treatments of the items. We develop an algorithmic model to solve multi-attribute decision-making (MADM) problems in mF environment using mF Hamacher weighted average operator (mFHWA) and mFHWG operators. They can compensate for the possible asymmetric roles of the attributes that describe the problem. In the end, to prove the validity and feasibility of the proposed work, we give applications for selecting the most affected country regarding human trafficking, selecting health care waste treatment methods and selecting the best company for investment. We also solve practical MADM problems by using ELECTRE-I method, and give a comparative analysis. View Full-Text
Keywords: m-polar fuzzy Hamacher aggregation operators; t-norms; ELECTRE-I method; decision-making m-polar fuzzy Hamacher aggregation operators; t-norms; ELECTRE-I method; decision-making
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MDPI and ACS Style

Waseem, N.; Akram, M.; Alcantud, J.C.R. Multi-Attribute Decision-Making Based on m-Polar Fuzzy Hamacher Aggregation Operators. Symmetry 2019, 11, 1498.

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