Algebraic Structures Of Semigroup By Rough Neutrosophic Ideals

Author : V.S. Subha,G. Rajasekar, S. Soundaravalli
Publisher : Infinite Study
Page : 8 pages
File Size : 48,8 Mb
Release : 2024-07-02
Category : Mathematics
ISBN : 8210379456XXX

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Algebraic Structures of Semigroup by Rough Neutrosophic Ideals by V.S. Subha,G. Rajasekar, S. Soundaravalli Pdf

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.

Author : Young Bae Jun,Madad Khan,Florentin Smarandache,Saima Anis
Publisher : Infinite Study
Page : 96 pages
File Size : 49,6 Mb
Release : 2018-01-01
Category : Mathematics
ISBN : 9781599735481

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Fuzzy and Neutrosophic Sets in Semigroups by Young Bae Jun,Madad Khan,Florentin Smarandache,Saima Anis Pdf

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.

Author : Mumtaz Ali,Florentin Smarandache,Muhammad Shabir
Publisher : Infinite Study
Page : 128 pages
File Size : 42,8 Mb
Release : 2024-07-02
Category : Electronic
ISBN : 9781599733067

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Soft Neutrosophic Algebraic Structures and Their Generalization, Vol. 2 by Mumtaz Ali,Florentin Smarandache,Muhammad Shabir Pdf

In this book, the authors define several new types of soft neutrosophic algebraic structures over neutrosophic algebraic structures and we study their generalizations. These soft neutrosophic algebraic structures are basically parameterized collections of neutrosophic sub-algebraic structures of the neutrosophic algebraic structure. An important feature of this book is that the authors introduce the soft neutrosophic group ring, soft neutrosophic semigroup ring with its generalization, and soft mixed neutrosophic N-algebraic structure over neutrosophic group ring, then the neutrosophic semigroup ring and mixed neutrosophic N-algebraic structure respectively.

Author : Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali
Publisher : Infinite Study
Page : 450 pages
File Size : 40,7 Mb
Release : 2024-07-02
Category : Mathematics
ISBN : 9783038974765

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Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II by Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali Pdf

Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity (i.e., element, concept, idea, theory, logical proposition, etc.), is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded; they have a similar form: (x, neut(x), anti(x), that satisfy some axioms, for each element x in a given set. This book contains the successful invited submissions to a special issue of Symmetry, reporting on state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets, and their algebraic structures—that have been defined recently in 2016, but have gained interest from world researchers, and several papers have been published in first rank international journals.

Author : Anonim
Publisher : Infinite Study
Page : 234 pages
File Size : 44,5 Mb
Release : 2016
Category : Electronic
ISBN : 9781599734712

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Neutrosophic Set Approach to Algebraic Structures by Anonim Pdf

Author : Mumtaz Ali,Florentin Smarandache,Muhammad Shabir
Publisher : Infinite Study
Page : 128 pages
File Size : 46,9 Mb
Release : 2024-07-02
Category : Electronic
ISBN : 9781599733135

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New Research on Neutrosophic Algebraic Structures by Mumtaz Ali,Florentin Smarandache,Muhammad Shabir Pdf

In this book, we define several new neutrosophic algebraic structures and their related properties. The main focus of this book is to study the important class of neutrosophic rings such as neutrosophic LA-semigroup ring, neutrosophic loop ring, neutrosophic groupoid ring and so on. We also construct their generalization in each case to study these neutrosophic algebraic structures in a broader sense. The indeterminacy element “I“ gives rise to a bigger algebraic structure than the classical algebraic structures. It mainly classifies the algebraic structures in three categories such as: neutrosophic algebraic structures, strong neutrosophic algebraic structures, and classical algebraic structures respectively. This reveals the fact that a classic algebraic structure is a part of the neutrosophic algebraic structures. This opens a new way for the researcher to think in a broader way to visualize these vast neutrosophic algebraic structures.

Author : Florentin Smarandache,Mumtaz Ali
Publisher : Infinite Study
Page : 128 pages
File Size : 43,8 Mb
Release : 2024-07-02
Category : Electronic
ISBN : 9781599732800

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Neutrosophic Sets and Systems, Vol. III by Florentin Smarandache,Mumtaz Ali Pdf

This volume is a collection of ten papers, written by different authors and co-authors (listed in the order of the papers): F. Yuhua, A. A. Salama, F. Smarandache, S. A. Alblowi, M. Ali, M. Shabir, M. Naz, A. A. A. Agboola, S. A. Akinleye, M. Dhar, S. Broumi, P. Biswas, S. Pramanik, B. C. Giri, H. A. El-Ghareeb, A. M. Maine, V. Kandasamy, P. Sekar and J. Vidhyalakshmi. In first paper, the author proposed Expanding Newton Mechanics with Neutrosophy and Quad-stage Method-New Newton Mechanics Taking Law of Conservation of Energy as Unique Source Law. The Characteristic Function of a Neutrosophic Set is proposed in the second paper. Neutrosophic Left Almost Semigroup is studied in third paper. In fourth paper Neutrosophic Hypercompositional Structures defined by Binary Relations are introduced. Similarly in fifth paper A Note on Square Neutrosophic Fuzzy Matrices are discussed. In paper six A New Methodology for Neutrosophic Multi-Attribute Decision-Making with Unknown Weight Information is presented by the authors. Introduction to Develop Some Software Programs for dealing with Neutrosophic Sets is given in seventh paper. Paper eight is about to Soft Neutrosophic Ring and Soft Neutrosophic Field. In the next paper Rough Neutrosophic Sets are discussed. The authors introduced new type of Fuzzy Relational Equations and Neutrosophic Relational Equations-To Analyze Customer Preference to street shops in the last paper.

Author : Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali
Publisher : MDPI
Page : 450 pages
File Size : 52,7 Mb
Release : 2019-04-04
Category : Mathematics
ISBN : 9783038974758

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Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets by Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali Pdf

Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set. This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.

Author : Bijan Davvaz,Samy M. Mostafa,Fatema F. Kareem
Publisher : Infinite Study
Page : 10 pages
File Size : 41,8 Mb
Release : 207-01-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic ideals of neutrosophic KU-algebras by Bijan Davvaz,Samy M. Mostafa,Fatema F. Kareem Pdf

In this paper, the concept of a neutrosophic KU-algebra is introduced and some related properties are investigated. Also, neutrosophic KU-ideals of a neutrosophic KU-algebra are studied and a few properties are obtained. Furthermore, a few results of neutrosophic KU-ideals of a neutrosophic KU-algebra under homomorphism are discussed.

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
Page : 203 pages
File Size : 45,8 Mb
Release : 2006-01-01
Category : Mathematics
ISBN : 9781931233163

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Smarandache Neutrosophic Algebraic Structures by W. B. Vasantha Kandasamy Pdf

Smarandache algebraic structures that inter-relates two distinct algebraic structures and analyzes them relatively can be considered a paradigm shift in the study of algebraic structures. For instance, the algebraic structure Smarandache semigroup simultaneously involves both group and semigroup.Recently, Neutrosophic Algebraic Structures were introduced. This book ventures to define Smarandache Neutrosophic Algebraic Structures.Here, Smarandache neutrosophic structures of groups, semigroups, loops and groupoids and their N-ary structures are introduced and analyzed. There is a lot of scope for interested researchers to develop these concepts.

Author : Amornrat Rattana, Ronnason Chinram
Publisher : Infinite Study
Page : 20 pages
File Size : 55,7 Mb
Release : 2024-07-02
Category : Mathematics
ISBN : 8210379456XXX

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Applications of Neutrosophic N-Structures In Ternary Semigroups by Amornrat Rattana, Ronnason Chinram Pdf

In this paper, the notions of neutrosophic N -ternary subsemigroups of ternary semigroups are introduced and several properties are investigated.

Author : K. Porselvi,B. Elavarasan, F. Smarandache,Y. B. Jun
Publisher : Infinite Study
Page : 13 pages
File Size : 40,5 Mb
Release : 2024-07-02
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic ℵ −bi-ideals in semigroups by K. Porselvi,B. Elavarasan, F. Smarandache,Y. B. Jun Pdf

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.

Author : W. B. Vasantha Kandasamy
Publisher : Unknown
Page : 220 pages
File Size : 48,6 Mb
Release : 2014-05-14
Category : MATHEMATICS
ISBN : 1461929997

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Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures by W. B. Vasantha Kandasamy Pdf

Author : Balasubramanian Elavarasan,Florentin Smarandache,Young Bae Jun
Publisher : Infinite Study
Page : 8 pages
File Size : 42,7 Mb
Release : 2024-07-02
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic ℵ −ideals in semigroups by Balasubramanian Elavarasan,Florentin Smarandache,Young Bae Jun Pdf

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.

Author : K. PORSELVI ,B. ELAVARASAN,FLORENTIN SMARANDACHE,Y. B. JUN
Publisher : Infinite Study
Page : 14 pages
File Size : 46,5 Mb
Release : 2024-07-02
Category : Mathematics
ISBN : 8210379456XXX

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NEUTROSOPHIC N -BI-IDEALS IN SEMIGROUPS by K. PORSELVI ,B. ELAVARASAN,FLORENTIN SMARANDACHE,Y. B. JUN Pdf

In this paper, we introduce the notion of neutrosophic N -bi-ideal structure over a semigroup. We characterize semigroups, regular semigroups and intra-regular semigroups in terms of neutrosophic N -bi-ideal structures. We also show that the intersection of neutrosophic N -ideals and the neutrosophic N -product of ideals will coincide for a regular semigroup.