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T I F Neutrosophic Structures I Neutrosophic Structures Revisited
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Book Synopsis Introduction to NeutroAlgebraic Structures and AntiAlgebraic Structures (revisited) by : Florentin Smarandache
Download or read book Introduction to NeutroAlgebraic Structures and AntiAlgebraic Structures (revisited) written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In all classical algebraic structures, the Laws of Compositions on a given set are well-defined. But this is a restrictive case, because there are many more situations in science and in any domain of knowledge when a law of composition defined on a set may be only partially-defined (or partially true) and partially-undefined (or partially false), that we call NeutroDefined, or totally undefined (totally false) that we call AntiDefined.
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 Infinite Study. This book was released on 2006-01-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book for the first time introduces neutrosophic groups, neutrosophic semigroups, neutrosophic loops and neutrosophic groupoids and their neutrosophic N-structures.The special feature of this book is that it tries to analyze when the general neutrosophic algebraic structures like loops, semigroups and groupoids satisfy some of the classical theorems for finite groups viz. Lagrange, Sylow, and Cauchy.This is mainly carried out to know more about these neutrosophic algebraic structures and their neutrosophic N-algebraic structures.
Book Synopsis Neutrosophic Sets and Systems, Book Series, Vol. 31, 2020 by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems, Book Series, Vol. 31, 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 318 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.
Book Synopsis NEUTROSOPHIC TRIPLET STRUCTURES, Volume I by : Memet Sahin
Download or read book NEUTROSOPHIC TRIPLET STRUCTURES, Volume I written by Memet Sahin and published by Infinite Study. This book was released on with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bipolar neutrosophic set (BNS) is an instance of a single- valued neutrosophic set. To do this, we firstly propose distance measure between two BNSs is defined by the full consideration of positive membership function and negative membership function for the forward and backward differences. Then the similarity measure, the entropy measure and the index of distance are also presented. Then, two examples are shown to verify the feasibility of the proposed method. Finally, the decision results of different similarity measures demonstrate the practicality and effectiveness of the developed method in this paper.
Book Synopsis Neutrosophic Sets and Systems, Book Series, Vol. 31, 2020. An International Book Series in Information Science and Engineering by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems, Book Series, Vol. 31, 2020. An International Book Series in Information Science and Engineering written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 318 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.
Book Synopsis Neutrosophic Sets and Systems, Vol. 44, 2021. Special issue: Impact of neutrosophy in solving the Latin American's social problems by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems, Vol. 44, 2021. Special issue: Impact of neutrosophy in solving the Latin American's social problems written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special issue reflects the impact of neutrosophic theory in Latin America, especially after creating the Latin American Association of Neutrosophic Sciences. Among the areas of publication most addressed in the region are found in the interrelation of social sciences and neutrosophy, presenting outstanding results in these research areas. The main objective of this special issue is to divulge the impact publication related to the Neutrosophic theory and explore new areas of research and application in the region. The SI reflects the influence of the neutrosophic publications in Latin America by opening new research areas mainly related to Neutrosophic Statistics, Plithogeny, and NeutroAlgebra. Furthermore, it is worth mentioning the incorporation of authors from new countries in the region, such as Paraguay, Uruguay, and Panama, to have authors in total from 15 countries, 12 of them from the Latin American region.
Book Synopsis NEUTROSOPHIC TRIPLET STRUCTURES, Volume I by : Florentin Smarandache
Download or read book NEUTROSOPHIC TRIPLET STRUCTURES, Volume I written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic theory and its applications have been expanding in all directions at an astonishing rate especially after of the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structures such as rough neutrosophic set, single valued neutrosophic rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been an important tool in the application of various areas such as data mining, decision making, e-learning, engineering, medicine, social science, and some more.
Book Synopsis Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 19 / 2018 by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 19 / 2018 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 142 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.
Book Synopsis Neutrosophic Sets and Systems, vol. 19/2018 by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems, vol. 19/2018 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 143 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.
Book Synopsis NEUTROSOPHIC TRIPLET STRUCTURES, Volume I by : Florentin Smarandache
Download or read book NEUTROSOPHIC TRIPLET STRUCTURES, Volume I written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this chapter, we introduce neutrosophic triplet cosets for neutrosophic triplet G-module and neutrosophic triplet quotient G-module. Then, we give some definitions and examples for neutrosophic triplet quotient G-module and neutrosophic triplet cosets. Also, we obtain isomorphism theorems for neutrosophic triplet G-modules and we prove isomorphism theorems for neutrosophic triplet G-modules.
Book Synopsis NEUTROSOPHIC DUPLET STRUCTURES by : Florentin Smarandache
Download or read book NEUTROSOPHIC DUPLET STRUCTURES written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Neutrosophic Duplets and the Neutrosophic Duplet Algebraic Structures were introduced by Florentin Smarandache in 2016.
Book Synopsis n-Refined Neutrosophic Groups I by : Mohammad Abobala
Download or read book n-Refined Neutrosophic Groups I written by Mohammad Abobala 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 define for the first time the concept of n-refined neutrosophic group. This work is devoted to study some elementary properties of n-refined neutrosophic groups and to establish the algebraic basis of this structure such as n-refined neutrosophic subgroups, n-refined neutrosophic homomorphisms, and n-refined neutrosophic isomorphisms.
Book Synopsis Neutrosophic N-structures and their applications in semigroups by : Madad Khan
Download or read book Neutrosophic N-structures and their applications in 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: 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.
Book Synopsis An Introduction to Neutrosophic Minimal Structure Spaces by : M. Karthika
Download or read book An Introduction to Neutrosophic Minimal Structure Spaces written by M. Karthika 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: Abstract. This paper is an introduction of neutrosophic minimal structure space and addresses properties of neutrosophic minimal structure space. Neutrosophic set has plenty of applications. This motivates us to present the concept of neutrosophic minimal structure space. We defined neutrosophic minimal structure space, closure and interior of a set, subspace. Some properties of neutrosophic minimal structure space are also studied. Finally, Decision making problem solved using score function.
Book Synopsis Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 18 / 2017 by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 18 / 2017 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 90 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.
Book Synopsis Neutrosophic Set Approach to Algebraic Structures by : Madad Khan
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