Mathematics and Statistics Faculty and Staff Publications

Document Type

Book

Publication Date

2015

Abstract

Usually the models of real world problems in almost all disciplines like engineering, medical sciences, mathematics, physics, computer science, management sciences, operations research and articial intelligence are mostly full of complexities and consist of several types of uncertainties while dealing them in several occasion. To overcome these di¢ culties of uncertainties, many theories have been developed such as rough sets theory, probability theory, fuzzy sets theory, theory of vague sets, theory of soft ideals and the theory of intuitionistic fuzzy sets, theory of neutrosophic sets, Dezert-Smarandache Theory (DSmT), etc. Zadeh introduced the degree of membership/truth (t) in 1965 and dened the fuzzy set. Atanassov introduced the degree of nonmembership/falsehood (f) in 1986 and dened the intuitionistic fuzzy set. Smarandache introduced the degree of indeterminacy/neutrality (i) as independent component in 1995 (published in 1998) and dened the neutrosophic set. He has coined the words neutrosophyand neutrosophic.

Publisher

Educational Publisher, Ohio

ISSN

978-1-59973-340-1

Language (ISO)

English

Keywords

fuzzy semigroup, groupoid, Abel Grassmann groupoid, neutrosophic logic

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

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