Decision-Making Approach Based on Generalized Aggregation Operators with Complex Single-Valued Neutrosophic Hesitant Fuzzy Set Information

Abstract

A strategic decision-making technique can help the decision maker to accomplish and analyze the information in an efficient manner. However, in our real life, an uncertainty will play a dominant role during the information collection phase. To handle such uncertainties in the data, we present a decision-making algorithm under the single-valued neutrosophic (SVN) environment. The SVN is a powerful way to deal the information in terms of three degrees, namely, “truth,” “falsity,” and “indeterminacy,” which all are considered independent. The main objective of this study is divided into three folds. In the first fold, we state the novel concept of complex SVN hesitant fuzzy (CSVNHF) set by incorporating the features of the SVN, complex numbers, and the hesitant element. The various fundamental and algebraic laws of the proposed CSVNHF set are described in details. The second fold is to state the various aggregation operators to obtain the aggregated values of the considered CSVNHF information. For this, we stated several generalized averaging operators, namely, CSVNHF generalized weighted averaging, ordered weighted average, and hybrid average. The various properties of these operators are also stated. Finally, we discuss a multiattribute decision-making (MADM) algorithm based on the proposed operators to address the problems under the CSVNHF environment. A numerical example is given to illustrate the work and compare the results with the existing studies’ results. Also, the sensitivity analysis and advantages of the stated algorithm are given in the work to verify and strengthen the study.

Hamacher Operations for Complex Cubic q-Rung Orthopair Fuzzy Sets and Their Application to Multiple-Attribute Group Decision Making

“…Azam et al [28] developed a decision-making approach for the evaluation of information security management under a complex intuitionistic fuzzy set environment. Garg et al [29] proposed a decisionmaking approach based on generalized aggregation operators with complex single-valued neutrosophic hesitant fuzzy set information. Janani et al [30] defined complex probabilistic fuzzy set and proposed some aggregation operators in group decision making extended to TOPSIS.…”

Neutrosophic QUALIFLEX based on neutrosophic hesitancy index for selecting a potential antivirus mask supplier over COVID-19 pandemic

“…Wang ( 2021 ) proposed a MCDM method based on normalized geometric aggregation operators of SVNHFSs. Garg et al ( 2022 ) defined the concept of complex single-valued neutrosophic hesitant fuzzy set. Özlü ( 2022 ) proposed the generalized Dice measures of single-valued neutrosophic type-2 hesitant fuzzy sets and their application to MCDM.…”