Deakin University
Browse

File(s) under permanent embargo

Neutrosophic sets and logic

chapter
posted on 2017-01-01, 00:00 authored by Mumtaz Ali, F Smarandache, L Vladareanu
Neutrosophic sets and Logic plays a significant role in approximation theory. It is a generalization of fuzzy sets and intuitionistic fuzzy set. Neutrosophic set is based on the neutrosophic philosophy in which every idea Z, has opposite denoted as anti(Z) and its neutral which is denoted as neut(Z). This is the main feature of neutrosophic sets and logic. This chapter is about the basic concepts of neutrosophic sets as well as some of their hybrid structures. This chapter starts with the introduction of fuzzy sets and intuitionistic fuzzy sets respectively. The notions of neutrosophic set are defined and studied their basic properties in this chapter. Then we studied neutrosophic crisp sets and their associated properties and notions. Moreover, interval valued neutrosophic sets are studied with some of their properties. Finally, we presented some applications of neutrosophic sets in the real world problems.

History

Title of book

Emerging research on applied fuzzy sets and intuitionistic fuzzy matrices

Series

Advances in computational intelligence and robotics (ACIR)

Chapter number

2

Pagination

18 - 63

Publisher

IGI Global

Place of publication

Hershey, Pa.

ISBN-13

9781522509141

Language

eng

Publication classification

B1.1 Book chapter

Copyright notice

2017, IGI Global

Extent

15

Editor/Contributor(s)

Amal Kumar Adak, Debashree Manna, Monoranjan Bhowmik

Usage metrics

    Research Publications

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC