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Open AccessArticle

Q-Neutrosophic Soft Relation and Its Application in Decision Making

School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Malaysia
Author to whom correspondence should be addressed.
Entropy 2018, 20(3), 172;
Received: 4 February 2018 / Revised: 24 February 2018 / Accepted: 5 March 2018 / Published: 6 March 2018
(This article belongs to the Special Issue Information Theory in Machine Learning and Data Science)
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. View Full-Text
Keywords: Q-neutrosophic soft set; Q-neutrosophic soft relation; neutrosophic soft set; fuzzy set Q-neutrosophic soft set; Q-neutrosophic soft relation; neutrosophic soft set; fuzzy set
MDPI and ACS Style

Abu Qamar, M.; Hassan, N. Q-Neutrosophic Soft Relation and Its Application in Decision Making. Entropy 2018, 20, 172.

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