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

Ashraf Al-Quran, Nasruddin Hassan

Research output: Contribution to journalArticle

11 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)569-582
Number of pages14
JournalJournal of Intelligent and Fuzzy Systems
Volume34
Issue number1
DOIs
Publication statusPublished - 1 Jan 2018

Fingerprint

Decision making
Decision Making
De Morgan's laws
Soft Set
Expert Opinion
Single valued
Term
Unit circle
Argand diagram
Union
Complement
Intersection
Concepts
Range of data

Keywords

  • Complex neutrosophic set
  • Decision making
  • Neutrosophic set
  • Single-valued neutrosophic set
  • Soft expert set

ASJC Scopus subject areas

  • Statistics and Probability
  • Engineering(all)
  • Artificial Intelligence

Cite this

The complex neutrosophic soft expert set and its application in decision making. / Al-Quran, Ashraf; Hassan, Nasruddin.

In: Journal of Intelligent and Fuzzy Systems, Vol. 34, No. 1, 01.01.2018, p. 569-582.

Research output: Contribution to journalArticle

Al-Quran, Ashraf ; Hassan, Nasruddin. / The complex neutrosophic soft expert set and its application in decision making. In: Journal of Intelligent and Fuzzy Systems. 2018 ; Vol. 34, No. 1. pp. 569-582.
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