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Entropy 2018, 20(2), 101; https://doi.org/10.3390/e20020101

The Complex Neutrosophic Soft Expert Relation and Its Multiple Attribute Decision-Making Method

School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
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Received: 24 December 2017 / Revised: 15 January 2018 / Accepted: 30 January 2018 / Published: 31 January 2018
(This article belongs to the Special Issue Information Theory in Machine Learning and Data Science)
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Abstract

This paper introduces a novel soft computing technique, called the complex neutrosophic soft expert relation (CNSER), to evaluate the degree of interaction between two hybrid models called complex neutrosophic soft expert sets (CNSESs). CNSESs are used to represent two-dimensional data that are imprecise, uncertain, incomplete and indeterminate. Moreover, it has a mechanism to incorporate the parameter set and the opinions of all experts in one model, thus making it highly suitable for use in decision-making problems where the time factor plays a key role in determining the final decision. The complex neutrosophic soft expert set and complex neutrosophic soft expert relation are both defined. Utilizing the properties of CNSER introduced, an empirical study is conducted on the relationship between the variability of the currency exchange rate and Malaysian exports and the time frame (phase) of the interaction between these two variables. This study is supported further by an algorithm to determine the type and the degree of this relationship. A comparison between different existing relations and CNSER to show the ascendancy of our proposed CNSER is provided. Then, the notion of the inverse, complement and composition of CNSERs along with some related theorems and properties are introduced. Finally, we define the symmetry, transitivity and reflexivity of CNSERs, as well as the equivalence relation and equivalence classes on CNSESs. Some interesting properties are also obtained. View Full-Text
Keywords: complex neutrosophic set; complex neutrosophic soft expert set; decision-making; single-valued neutrosophic set; neutrosophic soft relation complex neutrosophic set; complex neutrosophic soft expert set; decision-making; single-valued neutrosophic set; neutrosophic soft relation
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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Al-Quran, A.; Hassan, N. The Complex Neutrosophic Soft Expert Relation and Its Multiple Attribute Decision-Making Method. Entropy 2018, 20, 101.

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