The complex neutrosophic soft expert set and its application in decision making

Abstract

This paper presents a novel complex neutrosophic soft expert set (CNSES) concept. The range of values of CNSES is extended to the unit circle in the complex plane by adding an additional term called the phase term which describes CNSES's elements in terms of the time aspect. CNSES is a hybrid structure of soft sets and single-valued neutrosophic sets (SVNSs) defined in a complex setting where the experts' opinions are included, thus making it highly suitable for use in decision-making problems that involve uncertain and indeterminate data where the time factor plays a key role in determining the final decision. Based on this new concept we define some concepts related to this notion as well as some basic operations namely the complement, union, intersection, AND and OR. The basic properties and relevant laws pertaining to this concept such as the De Morgan's laws are also verified. Lastly, we propose an algorithm to solve complex neutrosophic soft expert decision-making problem by converting it from the complex state to the real state and subsequently provided the detailed decision steps. This study is supported by the comparison with other existing methods.

Multi-criteria decision making method based on Bonferroni mean aggregation operators of complex intuitionistic fuzzy numbers

“…Based on the Archimedean t-norm operations, authors in [18] examined the generalized BM operators for CIFSs. In [33], the authors addressed the operations for the complex neutrosophic soft sets.…”

An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making

“…Then, we define the Q-neutrosophic-set aggregation operator and use it to develop an algorithm for using a Q-neutrosophic soft set in decision-making issues that have indeterminate and uncertain data, followed by an illustrative real-life example. soft sets [27], complex neutrosophic soft expert sets [28,29] and time-neutrosophic soft sets [30]. Many researchers [23,[31][32][33][34][35][36] have constructed several aggregation operators, such as simplified neutrosophic prioritized aggregation operators, single-valued neutrosophic Dombi weighted aggregation operators, simplified neutrosophic weighted aggregation operators, interval neutrosophic exponential weighted aggregation operators, and used them in decision-making issues.…”

Generalized Q-Neutrosophic Soft Expert Set for Decision under Uncertainty

“…Relations between Q-NSSs were studied in [13] while their measures of distance, similarity and entropy were discussed in [14].Decision-making is an exploration point of research especially in uncertain environments. Recently, many researchers applied neutrosophic sets to real-life decision making problems containing uncertain, indeterminate and incompatible information [15][16][17][18][19][20][21][22][23][24][25].Recently, the need for models incorporating opinions of experts and validating information supplied by observers has been recognized. In such cases, it is pertinent to have the conclusions of a specialist to approve the information obtained from observers before these data can be utilized to make a decision.…”

“…Although SES was considered a novel idea at the time of its initiation, it does not have the capacity to represent the uncertainty that appears in most real issues. Many generalizations of the SES model were introduced to overcome this issue such as fuzzy soft expert sets [27], neutrosophic soft expert sets [28], neutrosophic vague soft expert set [17], complex neutrosophic soft expert set [18], vague soft expert sets [29][30][31], generalized neutrosophic soft expert set [32] and Q-neutrosophic soft expert set (Q-NSES) [33]. Q-NSES has the capacity to handle indeterminacy and two-dimensionality simultaneously, since it incorporates the elements of both soft expert set and Q-neutrosophic set.…”

“…Decision-making is an exploration point of research especially in uncertain environments. Recently, many researchers applied neutrosophic sets to real-life decision making problems containing uncertain, indeterminate and incompatible information [15][16][17][18][19][20][21][22][23][24][25].…”