Algebraic Structures Of Semigroup By Rough Neutrosophic Ideals

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Algebraic Structures of Semigroup by Rough Neutrosophic Ideals

Author : V.S. Subha
Publisher : Infinite Study
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4./5 ( download)

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Book Synopsis Algebraic Structures of Semigroup by Rough Neutrosophic Ideals by : V.S. Subha

Download or read book Algebraic Structures of Semigroup by Rough Neutrosophic Ideals written by V.S. Subha and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fuzzy and Neutrosophic Sets in Semigroups

Author : Young Bae Jun
Publisher : Infinite Study
ISBN 13 : 1599735482
Total Pages : 96 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Fuzzy and Neutrosophic Sets in Semigroups by : Young Bae Jun

Download or read book Fuzzy and Neutrosophic Sets in Semigroups written by Young Bae Jun and published by Infinite Study. This book was released on 2018-01-01 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Soft Neutrosophic Algebraic Structures and Their Generalization, Vol. 2

Author : Mumtaz Ali
Publisher : Infinite Study
ISBN 13 : 1599733064
Total Pages : pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Soft Neutrosophic Algebraic Structures and Their Generalization, Vol. 2 by : Mumtaz Ali

Download or read book Soft Neutrosophic Algebraic Structures and Their Generalization, Vol. 2 written by Mumtaz Ali and published by Infinite Study. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 3038974765
Total Pages : 450 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II by : Florentin Smarandache

Download or read book Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Neutrosophic Set Approach to Algebraic Structures

Author :
Publisher : Infinite Study
ISBN 13 : 1599734710
Total Pages : 234 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Neutrosophic Set Approach to Algebraic Structures by :

Download or read book Neutrosophic Set Approach to Algebraic Structures written by and published by Infinite Study. This book was released on 2016 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Research on Neutrosophic Algebraic Structures

Author : Mumtaz Ali
Publisher : Infinite Study
ISBN 13 : 1599733137
Total Pages : pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis New Research on Neutrosophic Algebraic Structures by : Mumtaz Ali

Download or read book New Research on Neutrosophic Algebraic Structures written by Mumtaz Ali and published by Infinite Study. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets

Author : Florentin Smarandache
Publisher : MDPI
ISBN 13 : 3038974757
Total Pages : 450 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets by : Florentin Smarandache

Download or read book Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets written by Florentin Smarandache and published by MDPI. This book was released on 2019-04-04 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Neutrosophic ideals of neutrosophic KU-algebras

Author : Bijan Davvaz
Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic ideals of neutrosophic KU-algebras by : Bijan Davvaz

Download or read book Neutrosophic ideals of neutrosophic KU-algebras written by Bijan Davvaz and published by Infinite Study. This book was released on 207-01-01 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Neutrosophic Sets and Systems, Vol. III

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599732807
Total Pages : pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. III by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. III written by Florentin Smarandache and published by Infinite Study. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Smarandache Neutrosophic Algebraic Structures

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1931233160
Total Pages : 203 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Smarandache Neutrosophic Algebraic Structures by : W. B. Vasantha Kandasamy

Download or read book Smarandache Neutrosophic Algebraic Structures written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2006-01-01 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Neutrosophic N-structures over UP-algebras

Author : Phattharaphon Rangsuk
Publisher : Infinite Study
ISBN 13 :
Total Pages : 41 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic N-structures over UP-algebras by : Phattharaphon Rangsuk

Download or read book Neutrosophic N-structures over UP-algebras written by Phattharaphon Rangsuk and published by Infinite Study. This book was released on with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among many algebraic structures, algebras of logic form important class of algebras. Examples of these are BCK-algebras, BCI-algebras, BCH-algebras, KU-algebras [28], SU-algebras and others.

NEUTROSOPHIC N -BI-IDEALS IN SEMIGROUPS

Author : K. PORSELVI
Publisher : Infinite Study
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4./5 ( download)

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Book Synopsis NEUTROSOPHIC N -BI-IDEALS IN SEMIGROUPS by : K. PORSELVI

Download or read book NEUTROSOPHIC N -BI-IDEALS IN SEMIGROUPS written by K. PORSELVI and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Neutrosophic ℵ −ideals in semigroups

Author : Balasubramanian Elavarasan
Publisher : Infinite Study
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic ℵ −ideals in semigroups by : Balasubramanian Elavarasan

Download or read book Neutrosophic ℵ −ideals in semigroups written by Balasubramanian Elavarasan and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The algebraic structure on the neutrosophic triplet set

Author : S. Suryoto
Publisher : Infinite Study
ISBN 13 :
Total Pages : 7 pages
Book Rating : 4./5 ( download)

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Book Synopsis The algebraic structure on the neutrosophic triplet set by : S. Suryoto

Download or read book The algebraic structure on the neutrosophic triplet set written by S. Suryoto and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of the neutrosophic triplet was introduced by Smarandache and Ali. This notion is based on the fundamental law of neutrosophy that for an idea X, we have neutral of X denoted as neut(X) and anti of X denoted as anti(X). This paper studied a neutrosophic triplet set which is a collection of all triple of three elements that satisfy certain properties with some binary operation. Also given some interesting properties related to them. Further, in this paper investigated that from the neutrosophic triplet group can construct a classical group under multiplicative operation for ℤ𝑛 , for some specific n. These neutrosophic triplet groups are built using only modulo integer 2p, with p is an odd prime or Cayley table.

Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures

Author : W. B. Vasantha Kandasamy
Publisher :
ISBN 13 : 9781461929994
Total Pages : 220 pages
Book Rating : 4.9/5 (299 download)

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Book Synopsis Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures by : W. B. Vasantha Kandasamy

Download or read book Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures written by W. B. Vasantha Kandasamy and published by . This book was released on 2014-05-14 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Neutrosophic ℵ −bi-ideals in semigroups

Author : K. Porselvi
Publisher : Infinite Study
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic ℵ −bi-ideals in semigroups by : K. Porselvi

Download or read book Neutrosophic ℵ −bi-ideals in semigroups written by K. Porselvi and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algebraic Structures Using Subsets

Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599732165
Total Pages : 199 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Algebraic Structures Using Subsets by : W. B. Vasantha Kandasamy, Florentin Smarandache

Download or read book Algebraic Structures Using Subsets written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2012 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: "[The] study of algebraic structures using subsets [was] started by George Boole. After the invention of Boolean algebra, subsets are not used in building any algebraic structures. In this book we develop algebraic structures using subsets of a set or a group, or a semiring, or a ring, and get algebraic structures. Using group or semigroup, we only get subset semigroups. Using ring or semiring, we get only subset semirings. By this method, we get [an] infinite number of non-commutative semirings of finite order. We build subset semivector spaces, [and] describe and develop several interesting properties about them."--