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

Abstract

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.

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

“…is section gives a comparison of the developed Dombi AOs with mF Hamacher AOs [27] and an mF-ELECTRE-I model [46] to show their feasibility and practicality.…”

“…(1) We compare the results of developed mF Dombi AOs with mF Hamacher AOs [27]. e results computed by applying both operators in first application are explained by Table 6 and Figure 3.…”

“…We have given real-life applications for the selection of best agricultural land and for the selection of best bank regarding performance. At the end, we have provided a comparison of developed AOs with mF-ELECTRE-I method [46] and mF Hamacher AOs [27] and have authenticated the proposed strategy by effectiveness tests to check its validity. In the comparison, we have seen that the optimal alternative is the same by applying mF-ELECTRE-I method [46], mF Hamacher AOs [27], and proposed mFDWA operator.…”

“…Due to the presence of multipolar data in different daily life problems of science and technology, Chen et al [26] initiated the notion of mF set theory as generalization of fuzzy and bipolar fuzzy sets. Waseem et al [27] studied recently MCDM problems based on mF Hamacher AOs. Khameneh and Kilicman [28] proposed mF soft weighted AOs and applied these AOs in decision making.…”

“…Section 5 discusses two applications: first for the selection of best agricultural land and second for the selection of best commercial bank. Section 6 provides comparative analysis of developed approaches with mF ELECTRE-I model [46] and mF Hamacher AOs [27]. Section 7 discusses the conclusions and future directions.…”