Fuzzy and Neutrosophic Sets in Semigroups
Title | Fuzzy and Neutrosophic Sets in Semigroups PDF eBook |
Author | Young Bae Jun |
Publisher | Infinite Study |
Pages | 96 |
Release | 2018-01-01 |
Genre | Mathematics |
ISBN | 1599735482 |
The topics discussed in this book are 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, starshaped (∈, ∈∨ qk)-fuzzy set, quasi-starshaped (∈, ∈∨ qk)-fuzzy set, semidetached mapping, semidetached semigroup, (∈, ∈ ∨qk)-fuzzy subsemi-group, (qk, ∈ ∨qk)-fuzzy subsemigroup, (∈, ∈ ∨ qk)-fuzzy subsemigroup, (qk, ∈ ∨ qk)-fuzzy subsemigroup, (∈ ∨ qk, ∈ ∨ qk)-fuzzy subsemigroup, (∈, ∈∨ qkδ)-fuzzy subsemigroup, ∈∨ qkδ -level subsemigroup/bi-ideal, (∈, ∈∨ qkδ )-fuzzy (generalized) bi-ideal, δ-lower (δ-upper) approximation of fuzzy set, δ-lower (δ-upper) rough fuzzy subsemigroup, δ-rough fuzzy subsemigroup, Neutrosophic N -structure, neutrosophic N -subsemigroup, ε-neutrosophic N -subsemigroup, and neutrosophic N -product.
Neutrosophic ℵ −bi-ideals in semigroups
Title | Neutrosophic ℵ −bi-ideals in semigroups PDF eBook |
Author | K. Porselvi |
Publisher | Infinite Study |
Pages | 13 |
Release | |
Genre | Mathematics |
ISBN |
In this paper, we introduce the notion of neutrosophic ℵ-bi-ideal for a semigroup. We infer different semigroups using neutrosophic ℵ -bi-ideal structures. Moreover, for regular semigroups, neutrosophic ℵ-product and intersection of neutrosophic ℵ-ideals are identical.
Neutrosophic ℵ −ideals in semigroups
Title | Neutrosophic ℵ −ideals in semigroups PDF eBook |
Author | Balasubramanian Elavarasan |
Publisher | Infinite Study |
Pages | 8 |
Release | |
Genre | Mathematics |
ISBN |
The aim of this paper is to introduce the notion of neutrosophic ℵ −ideals in semigroups and investigate their properties. Conditions for neutrosophic ℵ −structure to be a neutrosophic ℵ −ideal are provided. We also discuss the concept of characteristic neutrosophic ℵ −structure of semigroups and its related properties.
Neutrosophic N-structures and their applications in semigroups
Title | Neutrosophic N-structures and their applications in semigroups PDF eBook |
Author | Madad Khan |
Publisher | Infinite Study |
Pages | 17 |
Release | |
Genre | |
ISBN |
The notion of neutrosophic N-structure is introduced, and applied it to semigroup. The notions of neutrosophic N-subsemigroup, neutrosophic N-product and ε-neutrosophic N-subsemigroup are introduced, and several properties are investigated.
Algebraic Structures of Semigroup by Rough Neutrosophic Ideals
Title | Algebraic Structures of Semigroup by Rough Neutrosophic Ideals PDF eBook |
Author | V.S. Subha |
Publisher | Infinite Study |
Pages | 8 |
Release | |
Genre | Mathematics |
ISBN |
In this article, we will look at the definition of rough neutrosophic set in semigroups and investigate their properties. We also introduce the concept of rough Neutrosophic (right,left,two-sided,bi-) ideals in a semigroup and study some properties of the ideals of semigroup.
Some Properties of Q-Neutrosophic Ideals of Semirings
Title | Some Properties of Q-Neutrosophic Ideals of Semirings PDF eBook |
Author | Debabrata Mandal |
Publisher | Infinite Study |
Pages | 10 |
Release | 2020-10-01 |
Genre | Mathematics |
ISBN |
The intention of this paper is to introduce and study some properties of the ideals of semirings using the concept of Q-neutrosophic set.
Neutrosophic ℵ−interior ideals in semigroups
Title | Neutrosophic ℵ−interior ideals in semigroups PDF eBook |
Author | K. Porselvi |
Publisher | Infinite Study |
Pages | 11 |
Release | 2020-10-01 |
Genre | Mathematics |
ISBN |
We define the concepts of neutrosophic ℵ -interior ideal and neutrosophic ℵ −characteristic interior ideal structures of a semigroup. We infer different types of semigroups using neutrosophic ℵ-interior ideal structures. We also show that the intersection of neutrosophic ℵ-interior ideals and the union of neutrosophic ℵ-interior ideals is also a neutrosophic ℵ-interior ideal.