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Symmetry 2019, 11(2), 139; https://doi.org/10.3390/sym11020139

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

School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
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Received: 20 December 2018 / Revised: 20 January 2019 / Accepted: 23 January 2019 / Published: 27 January 2019
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Abstract

A neutrosophic set was proposed as an approach to study neutral uncertain information. It is characterized through three memberships, T , I and F, such that these independent functions stand for the truth, indeterminate, and false-membership degrees of an object. The neutrosophic set presents a symmetric form since truth enrolment T is symmetric to its opposite false enrolment F with respect to indeterminacy enrolment I that acts as an axis of symmetry. The neutrosophic set was further extended to a Q-neutrosophic soft set, which is a hybrid model that keeps the features of the neutrosophic soft set in dealing with uncertainty, and the features of a Q-fuzzy soft set that handles two-dimensional information. In this study, we discuss some operations of Q-neutrosophic soft sets, such as subset, equality, complement, intersection, union, AND operation, and OR operation. We also define the necessity and possibility operations of a Q-neutrosophic soft set. Several properties and illustrative examples are discussed. 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. View Full-Text
Keywords: decision making; neutrosophic set; Q-neutrosophic set; Q-neutrosophic soft set; soft set decision making; neutrosophic set; Q-neutrosophic set; Q-neutrosophic soft set; soft set
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Abu Qamar, M.; Hassan, N. An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making. Symmetry 2019, 11, 139.

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