Neutrosophic Algebraic Structures and Their Applications

Neutrosophic Algebraic Structures and Their Applications
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 269
Release: 2022-08-01
Genre: Mathematics
ISBN:

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.

Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models

Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
Total Pages: 149
Release: 2004-01-01
Genre: Mathematics
ISBN: 193123387X

For the involvement of uncertainty of varying degrees, when the total of the membership degree exceeds one or less than one, then the newer mathematical paradigm shift, Fuzzy Theory proves appropriate.For the past two or three decades, Fuzzy Theory has become the potent tool to study and analyze uncertainty involved in all problems. But, many real world problems also abound with the concept of indeterminacy.In this book, the new, powerful tool of neutrosophy that deals with indeterminacy is utilized. Innovative neutrosophic models are described.The theory of neutrosophic graphs is introduced and applied to fuzzy and neutrosophic models.Neutrosophic Logic and Neutrosophic Set (generalizations of Intuitionistic Fuzzy Logic and Intuitionistic Fuzzy Set respectively) became strong tools for applications.

Neutrosophic Graphs: A New Dimension to Graph Theory

Neutrosophic Graphs: A New Dimension to Graph Theory
Author: Vasantha Kandasamy
Publisher: Infinite Study
Total Pages: 127
Release: 2015
Genre: Graph theory
ISBN: 1599733625

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.

Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures

Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures
Author: Jana, Chiranjibe
Publisher: IGI Global
Total Pages: 439
Release: 2019-10-25
Genre: Mathematics
ISBN: 1799801926

In the world of mathematics, the study of fuzzy relations and its theories are well-documented and a staple in the area of calculative methods. What many researchers and scientists overlook is how fuzzy theory can be applied to industries outside of arithmetic. The framework of fuzzy logic is much broader than professionals realize. There is a lack of research on the full potential this theoretical model can reach. The Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures provides emerging research exploring the theoretical and practical aspects of fuzzy set theory and its real-life applications within the fields of engineering and science. Featuring coverage on a broad range of topics such as complex systems, topological spaces, and linear transformations, this book is ideally designed for academicians, professionals, and students seeking current research on innovations in fuzzy logic in algebra and other matrices.

Introduction to neutrosophic Nnearrings

Introduction to neutrosophic Nnearrings
Author: S. A. Akinleye
Publisher: Infinite Study
Total Pages: 14
Release:
Genre:
ISBN:

The objective of this paper is to introduce the concept of neutrosophic nearrings. The concept of neutrosophic N-group of a neutrosophic nearring is introduced. We study neutrosophic subnearrings of neutrosophic nearrings and also neutrosophic N-subgroups of neutrosophic N- groups.

Neutrosophic Sets and Systems, Vol. 26, 2019. Special Issue: Social Neutrosophy in Latin America

Neutrosophic Sets and Systems, Vol. 26, 2019. Special Issue: Social Neutrosophy in Latin America
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 193
Release:
Genre: Mathematics
ISBN:

The Latin American Neutrosophic Science Association was created in 2018 as a result of the initiative of a group of university professors from Mexico and Ecuador. The Association has developed an intense work in the investigative context, expression of the capacity that neutrosophy has as a tool for understanding and transformation of reality in social benefit. Neutrosophic sets as a generalization fuzzy set (especially intuitionistic fuzzy sets), allows handling a greater number of situations that occur in reality and becomes a facilitator of the approach to the studied object without undermining its complex and multivariate essence. In this special edition, researchers from six Ecuadorian universities show the results of research projects addressing a wide range of topics related to the social environment of these Higher Education Institutions. The contents include law, criminology, public and administrative management, evaluation of pedagogical scenarios, prospective analysis, artificial intelligence, among other topics. They are many different texts with a common denominator, the social sciences, and their relationship with neutrosophy. The progress of these investigations originates a significant change in the ways of validating and reasoning the proposals, the appreciation of neutrality increases the interpretability and the inferential efficacy from the analysis of the results, which enunciates a methodological, perceptive and objective enrichment in the humanistic sciences in Latin American geographical region.

Neutrosophic Sets and Systems, Book Series, Vol. 26, 2019

Neutrosophic Sets and Systems, Book Series, Vol. 26, 2019
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 189
Release:
Genre: Mathematics
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.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 21 / 2018

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 21 / 2018
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 168
Release: 2018
Genre: Mathematics
ISBN: 1599735814

“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.

Neutrosophic Sets and Systems, Vol. 36, 2020

Neutrosophic Sets and Systems, Vol. 36, 2020
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 410
Release:
Genre: Mathematics
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. 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.