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Information 2017, 8(2), 62; doi:10.3390/info8020062

Exponential Operations and an Aggregation Method for Single-Valued Neutrosophic Numbers in Decision Making

Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing 312000, Zhejiang Province, China
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Academic Editor: Willy Susilo
Received: 22 April 2017 / Revised: 31 May 2017 / Accepted: 2 June 2017 / Published: 7 June 2017
(This article belongs to the Section Information Theory and Methodology)
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Abstract

As an extension of an intuitionistic fuzzy set, a single-valued neutrosophic set is described independently by the membership functions of its truth, indeterminacy, and falsity, which is a subclass of a neutrosophic set (NS). However, in existing exponential operations and their aggregation methods for neutrosophic numbers (NNs) (basic elements in NSs), the exponents (weights) are positive real numbers in unit intervals under neutrosophic decision-making environments. As a supplement, this paper defines new exponential operations of single-valued NNs (basic elements in a single-valued NS), where positive real numbers are used as the bases, and single-valued NNs are used as the exponents. Then, we propose a single-valued neutrosophic weighted exponential aggregation (SVNWEA) operator based on the exponential operational laws of single-valued NNs and the SVNWEA operator-based decision-making method. Finally, an illustrative example shows the applicability and rationality of the presented method. A comparison with a traditional method demonstrates that the new decision-making method is more appropriate and effective. View Full-Text
Keywords: single-valued neutrosophic set; exponential operational law; single-valued neutrosophic weighted exponential aggregation (SVNWEA) operator; decision making single-valued neutrosophic set; exponential operational law; single-valued neutrosophic weighted exponential aggregation (SVNWEA) operator; decision making
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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MDPI and ACS Style

Lu, Z.; Ye, J. Exponential Operations and an Aggregation Method for Single-Valued Neutrosophic Numbers in Decision Making. Information 2017, 8, 62.

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