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Information 2017, 8(2), 51; doi:10.3390/info8020051

Subtraction and Division Operations of Simplified Neutrosophic Sets

Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing 312000, China
Academic Editor: Willy Susilo
Received: 4 April 2017 / Revised: 1 May 2017 / Accepted: 2 May 2017 / Published: 4 May 2017
(This article belongs to the Section Information Theory and Methodology)
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Abstract

A simplified neutrosophic set is characterized by a truth-membership function, an indeterminacy-membership function, and a falsity-membership function, which is a subclass of the neutrosophic set and contains the concepts of an interval neutrosophic set and a single valued neutrosophic set. It is a powerful structure in expressing indeterminate and inconsistent information. However, there has only been one paper until now—to the best of my knowledge—on the subtraction and division operators in the basic operational laws of neutrosophic single-valued numbers defined in existing literature. Therefore, this paper proposes subtraction operation and division operation for simplified neutrosophic sets, including single valued neutrosophic sets and interval neutrosophic sets respectively, under some constrained conditions to form the integral theoretical framework of simplified neutrosophic sets. In addition, we give numerical examples to illustrate the defined operations. The subtraction and division operations are very important in many practical applications, such as decision making and image processing. View Full-Text
Keywords: subtraction operation; division operation; simplified neutrosophic set; interval neutrosophic set; single valued neutrosophic set subtraction operation; division operation; simplified neutrosophic set; interval neutrosophic set; single valued neutrosophic 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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Ye, J. Subtraction and Division Operations of Simplified Neutrosophic Sets. Information 2017, 8, 51.

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