Download or read book Neutrosophic 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.

Download or read book Neutrosophic 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.

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.

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.

Download or read book Neutrosophic N ideals in Ternary Semigroups written by Warud Nakkhasen and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this paper is to extend the concept of neutrosophic N-ideals in semigroups to ternary semigroups and investigate some of its properties. Moreover, consider characterizations of neutrosophic N-left (resp., N-lateral, N-right) ideals by using the notion of neutrosophic N-products. Furthermore, we show that the homomorphic preimage and the onto homomorphic image of neutrosophic N-left (resp., N-lateral, N-right) ideals are also neutrosophic N-left (resp., N-lateral, N-right) ideals in ternary semigroups.

Download or read book Neutrosophic interior ideals in semigroups written by K. Porselvi and published by Infinite Study. This book was released on 2020-10-01 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Neutrosophic Set Approach for Characterizations of Left Almost Semigroups written by Madad Khan and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we have defined neutrosophic ideals, neutrosophic interior ideals, netrosophic quasi-ideals and neutrosophic bi-ideals (neutrosophic generalized bi-ideals) and proved some results related to them.

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.

Download or read book Some Properties of Q Neutrosophic Ideals of Semirings written by Debabrata Mandal and published by Infinite Study. This book was released on 2020-10-01 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intention of this paper is to introduce and study some properties of the ideals of semirings using the concept of Q-neutrosophic set.

Download or read book Neutrosophic Left Almost Semigroup written by Mumtaz Ali and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we extend the theory of neutrosophy to study left almost semigroup shortly LAsemigroup. We generalize the concepts of LA-semigroup to form that for neutrosophic LA-semigroup.

Download or read book Neutrosophic Set Theory Applied to UP Algebras written by Metawee Songsaeng and published by Infinite Study. This book was released on with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notions of neutrosophic UP-subalgebras, neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are introduced, and several properties are investigated. Conditions for neutrosophic sets to be neutrosophic UP-subalgebras, neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are provided. Relations between neutrosophic UP-subalgebras (resp., neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, neutrosophic strongly UP-ideals) and their level subsets are considered.

Download or read book Neutrosophic Set Approach to Algebraic Structures written by Madad Khan and published by Infinite Study. This book was released on with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of seven chapters. In chapter one we introduced neutrosophic ideals (bi, quasi, interior, (m,n) ideals) and discussed the properties of these ideals. Moreover, we characterized regular and intra-regular AG-groupoids using these ideals. In chapter two we introduced neutrosophic minimal ideals in AG-groupoids and discussed several properties. In chapter three, we introduced different neutrosophic regularities of AG-groupoids. Further we discussed several condition where these classes are equivalent. In chapter four, we introduced neutrosophic M-systems and neutrosophic p-systems in non-associative algebraic structure and discussed their relations with neutrosophic ideals. In chapter five, we introduced neutrosophic strongly regular AG-groupoids and characterized this structure using neutrosophic ideals. In chapter six, we introduced the concept of neutrosophic ideal, neutrosophic prime ideal, neutrosophic bi-ideal and neutrosophic quasi ideal of a neutrosophic semigroup. With counter example we have shown that the union and product of two neutrosophic quasi-ideals of a neutrosophic semigroup need not be a neutrosophic quasi-ideal of neutrosophic semigroup. We have also shown that every neutrosophic bi-ideal of a neutrosophic semigroup need not be a neutrosophic quasi-ideal of a neutrosophic semigroup. We have also characterized the regularity and intra-regularity of a neutrosophic semigroup. In chapter seven, we introduced neutrosophic left almost rings and discussed several properties using their neutrosophic ideals. Keywords: neutrosophic set, algebraic structure, neutrosophic ideal, AG-groupoids, neutrosophic minimal ideals, neutrosophic regularities, neutrosophic M-systems, neutrosophic p-systems, neutrosophic strongly regular AG-groupoids neutrosophic prime ideal, neutrosophic bi-ideal, neutrosophic quasi ideal, neutrosophic semigroup, neutrosophic left almost rings

Download or read book Neutrosophic Sets and Systems Vol 41 2021 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Download or read book Neutrosophic Sets and Systems Vol IV written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of seven papers, written by different authors and co-authors (listed in the order of the papers): A. A. Salama, F. Smarandache, Valeri Kroumov, A. A. A. Agboola, S. A. Akinleye, M. Ali, M. Shabir, M. Naz, I. Deli, Y. Toktas, S. Broumi, Z. Zhang, C. Wu, S. A. Alblowi, C. Dyer. In first paper, the authors proposed Neutrosophic Closed Set and Neutrosophic Continuous Function. Neutrosophic Vector spaces are proposed in the second paper. Neutrosophic Bi-LA-Semigroup and Neutrosophic N-LA-Semigroup is studied in third paper. In fourth paper Neutrosophic Parameterized Soft Relations and Their Applications are introduced. Similarly in fifth paper A novel method for single valued neutrosophic multi-criteria decision making with incomplete weight information are discussed. In paper six, New Neutrosophic Crisp Topological Concept is presented by the authors. Soft Neutrosophic Loops and Their Generalization is given in seventh paper.

Download or read book Neutrosophic Sets and Systems Vol 36 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Some articles in this issue: n-Refined Neutrosophic Modules, A Neutrosophic Approach to Digital Images, A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number.

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 78 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.

Download or read book Neutrosophic Theory and Its Applications Vol I written by Florentin Smarandache and published by Infinite Study. This book was released on 2014-12-01 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 45 papers, written by the author alone or in collaboration with the following co-authors: Mumtaz Ali, Said Broumi, Sukanto Bhattacharya, Mamoni Dhar, Irfan Deli, Mincong Deng, Alexandru Gal, Valeri Kroumov, Pabitra Kumar Maji, Maikel Leyva-Vazquez, Feng Liu, Pinaki Majumdar, Munazza Naz, Karina Perez-Teruel, Rıdvan Sahin, A. A. Salama, Muhammad Shabir, Rajshekhar Sunderraman, Luige Vladareanu, Magdalena Vladila, Stefan Vladutescu, Haibin Wang, Hongnian Yu, Yan-Qing Zhang.