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Single-Valued Neutrosophic Set: An Overview

Integrated Science, ISSN: 2662-947X, Vol: 5, Page: 563-608
2022
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Book Chapter Description

The purpose of this chapter is to present an overview of neutrosophic sets. Professor Florentin Smarandache defined the neutrosophic set and helped popularize the concept to deal with uncertainty, inconsistency, and indeterminacy common in human existence. The chapter presents the basic definitions of neutrosophic sets, single-valued neutrosophic sets, single-valued neutrosophic numbers, score functions, accuracy and certainty functions, the ranking of neutrosophic numbers, and some extensions of neutrosophic sets. It describes different types of neutrosophic sets and a few examples of their applications in social sciences. The chapter also presents a critical discussion and the future scope of research. The relation between classic set, fuzzy set, intuitionistic fuzzy set, and neutrosophic set. The code of this chapter is 01001110 01100101 01110101 01110100 01110010 01101111 01110011 01101111 01110000 01101000 01111001.

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