Q-neutrosophic soft relation and its application in decision making

Majdoleen Abu Qamar, Nasruddin Hassan

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

Q-neutrosophic soft sets are essentially neutrosophic soft sets characterized by three independent two-dimensional membership functions which stand for uncertainty, indeterminacy and falsity. Thus, it can be applied to two-dimensional imprecise, indeterminate and inconsistent data which appear in most real life problems. Relations are a suitable tool for describing correspondences between objects. In this study we introduce and discuss Q-neutrosophic soft relations, which can be discussed as a generalization of fuzzy soft relations, intuitionistic fuzzy soft relations, and neutrosophic soft relations. Q-neutrosophic soft relation is a sub Q-neutrosophic soft set of the Cartesian product of the Q-neutrosophic soft sets, in other words Q-neutrosophic soft relation is Q-neutrosophic soft sets in a Cartesian product of universes. We also present the notions of inverse, composition of Q-neutrosophic soft relations and functions along with some related theorems and properties. Reflexivity, symmetry, transitivity as well as equivalence relations and equivalence classes of Q-neutrosophic soft relations are also defined. Some properties of these concepts are presented and supported by real life examples. Finally, an algorithm to solve decision making problems using Q-neutrosophic soft relations is developed and verified by an example to show the efficiency of this method.

Original languageEnglish
Article number172
JournalEntropy
Volume20
Issue number3
DOIs
Publication statusPublished - 1 Mar 2018

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decision making
equivalence
membership functions
products
theorems
universe
symmetry

Keywords

  • Fuzzy set
  • Neutrosophic soft set
  • Q-neutrosophic soft relation
  • Q-neutrosophic soft set

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Q-neutrosophic soft relation and its application in decision making. / Abu Qamar, Majdoleen; Hassan, Nasruddin.

In: Entropy, Vol. 20, No. 3, 172, 01.03.2018.

Research output: Contribution to journalArticle

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