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Neutrosophic Bi La Semigroup And Neutrosophic N Lasemigroup
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Book Synopsis Soft Neutrosophic Bi-LA-semigroup and Soft Neutrosophic N-LA-seigroup by : Mumtaz Ali
Download or read book Soft Neutrosophic Bi-LA-semigroup and Soft Neutrosophic N-LA-seigroup written by Mumtaz Ali and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Soft set theory is a general mathematical tool for dealing with uncertain, fuzzy, not clearly defined objects. In this paper we introduced soft neutrosophic biLA-semigroup,soft neutosophic sub bi-LA-semigroup, soft neutrosophic N -LA-semigroup with the discuission of some of their characteristics
Book Synopsis Soft Neutrosophic Algebraic Structures and Their Generalization, Vol. 1 by : Florentin Smarandache
Download or read book Soft Neutrosophic Algebraic Structures and Their Generalization, Vol. 1 written by Florentin Smarandache and published by Infinite Study. This book was released on 2014-03-01 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Study of soft sets was first proposed by Molodtsov in 1999 to deal with uncertainty in a non-parametric manner. The researchers did not pay attention to soft set theory at that time but now the soft set theory has been developed in many areas of mathematics. Algebraic structures using soft set theory are very rapidly developed. In this book we developed soft neutrosophic algebraic structures by using soft sets and neutrosophic algebraic structures. In this book we study soft neutrosophic groups, soft neutrosophic semigroups, soft neutrosophic loops, soft neutrosophic LA-semigroups, and their generalizations respectively.
Book Synopsis Neutrosophic Precalculus and Neutrosophic Calculus by : Florentin Smarandache
Download or read book Neutrosophic Precalculus and Neutrosophic Calculus written by Florentin Smarandache and published by Infinite Study. This book was released on 2015-06-15 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic Analysis is a generalization of Set Analysis, which in its turn is a generalization of Interval Analysis. Neutrosophic Precalculus is referred to indeterminate staticity, while Neutrosophic Calculus is the mathematics of indeterminate change. The Neutrosophic Precalculus and Neutrosophic Calculus can be developed in many ways, depending on the types of indeterminacy one has and on the methods used to deal with such indeterminacy. In this book, the author presents a few examples of indeterminacies and several methods to deal with these specific indeterminacies, but many other indeterminacies there exist in our everyday life, and they have to be studied and resolved using similar of different methods. Therefore, more research should to be done in the field of neutrosophics. The author introduces for the first time the notions of neutrosophic mereo-limit, neutrosophic mereo-continuity (in a different way from the classical semi-continuity), neutrosophic mereo-derivative and neutrosophic mereo-integral (both in different ways from the fractional calculus), besides the classical definitions of limit, continuity, derivative, and integral respectively. Future research may be done in the neutrosophic fractional calculus. It means that in neutrosophic calculus there are limits, continuity, derivatives, and integrals that are not complete, i.e. there are neutrosophic functions that at a given point may have a degree of a limit (not 100%) called mereo-limit, or may be continuous in a certain degree (not 100%) called mereo-continuity, or may be differentiable or integrable in a certain degree (not 100%) called mereo-derivatives and respectively mereo-integrals. These occur because of indeterminacies...
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 2014-12-01 with total page 290 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.
Book Synopsis Neutrosophic Bi-LA-Semigroup and Neutrosophic N-LASemigroup by : Mumtaz Ali
Download or read book Neutrosophic Bi-LA-Semigroup and Neutrosophic N-LASemigroup written by Mumtaz Ali and published by Infinite Study. This book was released on with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Neutrosophic Sets and Systems, Vol. 36, 2020 by : Florentin Smarandache
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.
Book Synopsis Neutrosophic Sets and Systems. An International Journal in Information Science and Engineering, Vol. 36, 2020 by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems. An International Journal in Information Science and Engineering, Vol. 36, 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on 2020-10-01 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic Sets and Systems (NSS) is an academic journal, published quarterly online and on paper, that has been created for publications of advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics etc. and their applications in any field.
Book Synopsis Weak LA-hypergroups; Neutrosophy, Enumeration and Redox Reaction by : Shah Nawaz
Download or read book Weak LA-hypergroups; Neutrosophy, Enumeration and Redox Reaction written by Shah Nawaz and published by Infinite Study. This book was released on 2020-10-01 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main motivation of this article is to introduce the theme of Neutrosophic triplet(NT) Hv-LA-Groups. This inspiration is recieved from the structure of weak non-associative Neutrosophic triplet(NT) structures. For it, firstly, we define that each element x have left neut(x) and left anti(x) ; which may or may not unique. We further introduce the notion of neutrosophic triplet Hv-LA-subgroups and neutrosophic weak homomorphism on NT Hv-LA-Group. Secondly, presented NT Hv-LA-Group and develop two Mathematica Packages which help to check the left invertive law, weak left invertive law and reproductive axiom. Finally established a numerical example to validate the proposed approach in chemistry using redox reactions.
Book Synopsis Neutrosophic Sets and Systems, Vol. V by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems, Vol. V 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 book is a collection of nine papers, contributed by different authors and co-authors (listed in the order of the papers): A. A. Salama, O. M. Khaled, K. M. Mahfouz, M. Ali, F. Smarandache, M. Shabir, L. Vladareanu, S. Broumi, K. Mondal, S. Pramanik, I. Arockiarani, I. R. Sumathi, M. Eisa and I. Deli. In first paper, the authors studied Neutrosophic Correlation and Simple Linear Regression. The Generalization of Neutrosophic Rings and Neutrosophic Fields is proposed in the second paper. Cosine Similarity Measure of Interval Valued Neutrosophic Sets is studied in third paper. In fourth paper A Study on Problems of Hijras in West Bengal Based on Neutrosophic Cognitive Maps is introduced. Similarly in fifth paper Neutrosophic Crisp Set Theory is discussed. In paper six Interval Valued Fuzzy Neutrosophic Soft Structure Spaces are presented by the authors. Soft Neutrosophic Bi-LA-Semigroup and Soft Neutrosophic N-LA-Semigroup is given in seventh paper. Introduction to Image Processing via Neutrosophic Technique is given in paper eight. In the last paper, Neutrosophic Soft Multi-Set Theory and Its Decision Making is presented by the authors.
Book Synopsis Neutrosophic Sets and Systems, vol. 5/2014 by : A. A. Salama
Download or read book Neutrosophic Sets and Systems, vol. 5/2014 written by A. A. Salama and published by Infinite Study. This book was released on with total page 78 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 Precalculus and Neutrosophic Calculus (second enlarged edition) by : Florentin Smarandache
Download or read book Neutrosophic Precalculus and Neutrosophic Calculus (second enlarged edition) written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophy means the study of ideas and notions that are not true, nor false, but in between (i.e. neutral, indeterminate, unclear, vague, ambiguous, incomplete, contradictory, etc.). Each field has a neutrosophic part, i.e. that part that has indeterminacy. Thus, there were born the neutrosophic logic, neutrosophic set, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus, etc. There exist many types of indeterminacies – that is why neutrosophy can be developed in many different ways.
Book Synopsis Neutrosophy by : Florentin Smarandache
Download or read book Neutrosophy written by Florentin Smarandache and published by . This book was released on 1998 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Neutrosophic Rings by : W. B. Vasantha Kandasamy
Download or read book Neutrosophic Rings written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2006-01-01 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research on algebraic structure of group rings is one of the leading, most sought-after topics in ring theory. The new class of neutrosophic rings defined in this book form a generalization of group rings and semigroup rings.The study of the classes of neutrosophic group neutrosophic rings and S-neutrosophic semigroup neutrosophic rings which form a type of generalization of group rings will throw light on group rings and semigroup rings which are essential substructures of them. A salient feature of this group is the many suggested problems on the new classes of neutrosophic rings, solutions of which will certainly develop some of the still open problems in group rings.Further, neutrosophic matrix rings find applications in neutrosophic models like Neutrosophic Cognitive Maps (NCM), Neutrosophic Relational Maps (NRM), Neutrosophic Bidirectional Memories (NBM) and so on.
Book Synopsis Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps by : W. B. Vasantha Kandasamy
Download or read book Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2003-01-01 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a world of chaotic alignments, traditional logic with its strict boundaries of truth and falsity has not imbued itself with the capability of reflecting the reality. Despite various attempts to reorient logic, there has remained an essential need for an alternative system that could infuse into itself a representation of the real world. Out of this need arose the system of Neutrosophy (the philosophy of neutralities, introduced by FLORENTIN SMARANDACHE), and its connected logic Neutrosophic Logic, which is a further generalization of the theory of Fuzzy Logic. In this book we study the concepts of Fuzzy Cognitive Maps (FCMs) and their Neutrosophic analogue, the Neutrosophic Cognitive Maps (NCMs). Fuzzy Cognitive Maps are fuzzy structures that strongly resemble neural networks, and they have powerful and far-reaching consequences as a mathematical tool for modeling complex systems. Neutrosophic Cognitive Maps are generalizations of FCMs, and their unique feature is the ability to handle indeterminacy in relations between two concepts thereby bringing greater sensitivity into the results. Some of the varied applications of FCMs and NCMs which has been explained by us, in this book, include: modeling of supervisory systems; design of hybrid models for complex systems; mobile robots and in intimate technology such as office plants; analysis of business performance assessment; formalism debate and legal rules; creating metabolic and regulatory network models; traffic and transportation problems; medical diagnostics; simulation of strategic planning process in intelligent systems; specific language impairment; web-mining inference application; child labor problem; industrial relations: between employer and employee, maximizing production and profit; decision support in intelligent intrusion detection system; hyper-knowledge representation in strategy formation; female infanticide; depression in terminally ill patients and finally, in the theory of community mobilization and women empowerment relative to the AIDS epidemic.
Book Synopsis Introduction to Neutrosophic Statistics by : Florentin Smarandache
Download or read book Introduction to Neutrosophic Statistics written by Florentin Smarandache and published by Infinite Study. This book was released on 2014 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic Statistics means statistical analysis of population or sample that has indeterminate (imprecise, ambiguous, vague, incomplete, unknown) data. For example, the population or sample size might not be exactly determinate because of some individuals that partially belong to the population or sample, and partially they do not belong, or individuals whose appurtenance is completely unknown. Also, there are population or sample individuals whose data could be indeterminate. In this book, we develop the 1995 notion of neutrosophic statistics. We present various practical examples. It is possible to define the neutrosophic statistics in many ways, because there are various types of indeterminacies, depending on the problem to solve.
Book Synopsis Neutrosophic Graphs: A New Dimension to Graph Theory by : Vasantha Kandasamy
Download or read book Neutrosophic Graphs: A New Dimension to Graph Theory written by Vasantha Kandasamy and published by Infinite Study. This book was released on 2015 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies to neutrosophic graphs happens to be not only innovative and interesting, but gives a new dimension to graph theory. The classic coloring of edge problem happens to give various results. Neutrosophic tree will certainly find lots of applications in data mining when certain levels of indeterminacy is involved in the problem. Several open problems are suggested.
Book Synopsis Complex Numbers in n Dimensions by : S. Olariu
Download or read book Complex Numbers in n Dimensions written by S. Olariu and published by Elsevier. This book was released on 2002-06-20 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two distinct systems of hypercomplex numbers in n dimensions are introduced in this book, for which the multiplication is associative and commutative, and which are rich enough in properties such that exponential and trigonometric forms exist and the concepts of analytic n-complex function, contour integration and residue can be defined.The first type of hypercomplex numbers, called polar hypercomplex numbers, is characterized by the presence in an even number of dimensions greater or equal to 4 of two polar axes, and by the presence in an odd number of dimensions of one polar axis. The other type of hypercomplex numbers exists as a distinct entity only when the number of dimensions n of the space is even, and since the position of a point is specified with the aid of n/2-1 planar angles, these numbers have been called planar hypercomplex numbers.The development of the concept of analytic functions of hypercomplex variables was rendered possible by the existence of an exponential form of the n-complex numbers. Azimuthal angles, which are cyclic variables, appear in these forms at the exponent, and lead to the concept of n-dimensional hypercomplex residue. Expressions are given for the elementary functions of n-complex variable. In particular, the exponential function of an n-complex number is expanded in terms of functions called in this book n-dimensional cosexponential functionsof the polar and respectively planar type, which are generalizations to n dimensions of the sine, cosine and exponential functions.In the case of polar complex numbers, a polynomial can be written as a product of linear or quadratic factors, although it is interesting that several factorizations are in general possible. In the case of planar hypercomplex numbers, a polynomial can always be written as a product of linear factors, although, again, several factorizations are in general possible.The book presents a detailed analysis of the hypercomplex numbers in 2, 3 and 4 dimensions, then presents the properties of hypercomplex numbers in 5 and 6 dimensions, and it continues with a detailed analysis of polar and planar hypercomplex numbers in n dimensions. The essence of this book is the interplay between the algebraic, the geometric and the analytic facets of the relations.
