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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
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Entropy 2018, 20(3), 172; https://doi.org/10.3390/e20030172
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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