Fuzzy and Neutrosophic Sets in Semigroups

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Bibliographic Details
Title:	Fuzzy and Neutrosophic Sets in Semigroups
Description:	The topics discussed in this book are, among others, Int-soft semigroup, Int-soft left (right) ideal, Int-soft (generalized) bi-ideal, Int-soft quasi-ideal, Int-soft interior ideal, Int-soft left (right) duo semigroup, δ-lower (δ-upper) rough fuzzy subsemigroup, δ-rough fuzzy subsemigroup. The notions of neutrosophic N-subsemigroup, neutrosophic N-product and ε-neutrosophic N-subsemigroup are introduced, and several properties are investigated. Conditions for neutrosophic N-structure to be neutrosophic N-subsemigroup are provided. Using neutrosophic N-product, characterization of neutrosophic N-subsemigroup is discussed. Relations between neutrosophic N-subsemigroup and ε-neutrosophic N-subsemigroup are discussed. It is proved that the homomorphic preimage of neutrosophic N-subsemigroup is a neutrosophic N-subsemigroup, and the onto homomorphic image of neutrosophic N-subsemigroup is a neutrosophic N-subsemigroup.
Authors:	Young Bae Jun, Madad Khan, Florentin Smarandache, Saima Anis
Resource Type:	eBook.
Subjects:	Neutrosophic logic, Fuzzy logic, Semigroups
Categories:	MATHEMATICS / Set Theory, MATHEMATICS / Algebra / General
Database:	eBook Collection (EBSCOhost)

Description
Abstract:	The topics discussed in this book are, among others, Int-soft semigroup, Int-soft left (right) ideal, Int-soft (generalized) bi-ideal, Int-soft quasi-ideal, Int-soft interior ideal, Int-soft left (right) duo semigroup, δ-lower (δ-upper) rough fuzzy subsemigroup, δ-rough fuzzy subsemigroup. The notions of neutrosophic N-subsemigroup, neutrosophic N-product and ε-neutrosophic N-subsemigroup are introduced, and several properties are investigated. Conditions for neutrosophic N-structure to be neutrosophic N-subsemigroup are provided. Using neutrosophic N-product, characterization of neutrosophic N-subsemigroup is discussed. Relations between neutrosophic N-subsemigroup and ε-neutrosophic N-subsemigroup are discussed. It is proved that the homomorphic preimage of neutrosophic N-subsemigroup is a neutrosophic N-subsemigroup, and the onto homomorphic image of neutrosophic N-subsemigroup is a neutrosophic N-subsemigroup.
ISBN:	9781599735481