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

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.

Novel Concepts of q -Rung Orthopair Fuzzy Topology and WPM Approach for Multicriteria Decision-Making

“…Garg [34] developed AOs of intuitionistic multiplicative set. Akram et al [35] proposed some novel Dombi AOs for m-polar fuzzy set with applications to MCDM. Sitara et al [36] proposed q-rung picture fuzzy (q-RPF) graph structures and numerous significant results for modeling with q-RPF graph.…”

Fermatean Hesitant Fuzzy Choquet Integral Aggregation Operators

“…In recent years, there have been increasing studies on the MADM problem. In 2020, Akram et al [37] extended Dombi Aggregation Operators to handle uncertainty in m-polar fuzzy information and investigates their properties. In 2023, Akram et al [38] proposed a new hybrid model called Pythagorean fuzzy N-soft expert sets, which combines Pythagorean fuzzy sets and n-soft expert sets, to handle uncertain parameterized information in multi-attribute group decision-making problems.…”

Cubic M-polar Fuzzy Hybrid Aggregation Operators with Dombi’s T-norm and T-conorm with Application

“…These models have strong acceptance for modeling uncertainties in decisionmaking problems [21][22][23][24][25]. Dombi aggregation operators for information aggregation in the environment of different fuzzy sets have been studied by many researchers [26][27][28][29][30][31][32]. Chen et al [33] introduced the idea of m-polar fuzzy sets to express multi-polarity in the objects/alternatives.…”