Neutrosophic Linear Space Theory

Neutrosophic Linear Space Theory
Author: Rozina Ali
Publisher: Infinite Study
Total Pages: 16
Release:
Genre: Mathematics
ISBN:

In this paper, we give a review about neutrosophic linear spaces and their properties.

Neutrosophic Soft Normed Linear Spaces

Neutrosophic Soft Normed Linear Spaces
Author: Tuhin Bera
Publisher: Infinite Study
Total Pages: 20
Release:
Genre: Mathematics
ISBN:

In this paper, the neutrosophic norm has been defined on a soft linear space which is hereafter called neutrosophic soft normed linear space (NSNLS). Several characteristics of sequences defined in this space have been investigated here. Moreover, the notion of convexity and the metric in NSNLS have been introduced and some of their properties are established.

Interval Neutrosophic Sets and Logic: Theory and Applications in Computing

Interval Neutrosophic Sets and Logic: Theory and Applications in Computing
Author: Haibin Wang
Publisher: Infinite Study
Total Pages: 99
Release: 2005
Genre: Mathematics
ISBN: 1931233942

This book presents the advancements and applications of neutrosophics, which are generalizations of fuzzy logic, fuzzy set, and imprecise probability. The neutrosophic logic, neutrosophic set, neutrosophic probability, and neutrosophic statistics are increasingly used in engineering applications (especially for software and information fusion), medicine, military, cybernetics, physics.In the last chapter a soft semantic Web Services agent framework is proposed to facilitate the registration and discovery of high quality semantic Web Services agent. The intelligent inference engine module of soft semantic Web Services agent is implemented using interval neutrosophic logic.

Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps

Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
Total Pages: 213
Release: 2003-01-01
Genre: Mathematics
ISBN: 1931233764

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.

Neutrosophic Sets and Systems, Vol. IV

Neutrosophic Sets and Systems, Vol. IV
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 76
Release:
Genre:
ISBN: 1599733099

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.

Neutrosophic Sets and Systems, vol. 4/2014

Neutrosophic Sets and Systems, vol. 4/2014
Author: A. A. Salama
Publisher: Infinite Study
Total Pages: 76
Release:
Genre:
ISBN:

“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.

New Classes of Neutrosophic Linear Algebras

New Classes of Neutrosophic Linear Algebras
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
Total Pages: 288
Release: 2010-01-01
Genre: Mathematics
ISBN: 1599731169

In this book we introduce three types of neutrosophic linear algebras: neutrosophic set lineat algebra, neutrosophic semigroup linear algebra, and neutrosophic group linear algebra. These are generalizations of neutrosophic linear algebra. These new algebraic structures pave the way for applications in several fields like mathematical modeling.

Neutrosophic Bilinear Algebras and their Generalizations

Neutrosophic Bilinear Algebras and their Generalizations
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
Total Pages: 404
Release: 2010
Genre: Mathematics
ISBN: 9185917141

This book introduces over one hundred new concepts related to neutrosophic bilinear algebras and their generalizations. Illustrated by more than 225 examples, these innovative new notions find applications in various fields.

Introduction to Linear Bialgebra

Introduction to Linear Bialgebra
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
Total Pages: 238
Release: 2005
Genre: Mathematics
ISBN: 1931233977

In the modern age of development, it has become essential for any algebraic structure to enjoy greater acceptance and research significance only when it has extensive applications to other fields.This new algebraic concept, Linear Bialgebra, is one that will find applications to several fields like bigraphs, algebraic coding/communication theory (bicodes, best biapproximations), Markov bichains, Markov bioprocess and Leonief Economic bimodels: these are also brought out in this book.Here, the linear bialgebraic structure is given sub-bistructures and super-structures called the smarandache neutrosophic linear bialgebra which will easily yield itself to the above applications.