ROUGH NEUTROSOPHIC RELATION ON TWO UNIVERSAL SETS

ROUGH NEUTROSOPHIC RELATION ON TWO UNIVERSAL SETS
Author: I. AROCKIARANI
Publisher: Infinite Study
Total Pages: 14
Release:
Genre:
ISBN:

In this paper, we define the rough neutrosophic relation of two universe sets and study the algebraic properties of two rough neutrosophic relations that are interesting in the theory of rough sets. Finally, we present the similarity rough neutrosophic relation with an example.

Rough Neutrosophic Multisets Relation with Application in Marketing Strategy

Rough Neutrosophic Multisets Relation with Application in Marketing Strategy
Author: Suriana Alias
Publisher: Infinite Study
Total Pages: 20
Release:
Genre: Mathematics
ISBN:

The concepts of rough neutrosophic multisets can be easily extended to a relation, mainly since a relation is also a set, i.e. a subset of a Cartesian product. Therefore, the objective of this paper is to define the definition of rough neutrosophic multisets relation of Cartesian product over a universal set. Some of the relation properties of rough neutrosophic multisets such as max, min, the composition of two rough neutrosophic multisets relation, inverse rough neutrosophic multisets relation, and reflexive, symmetric and transitive rough neutrosophic multisets relation over the universe are defined. Subsequently, their properties are successfully proven. Finally, the application of rough neutrosophic multisets relation for decision making in marketing strategy is presented.

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.

Some Relation Properties of Rough Neutrosophic Multisets

Some Relation Properties of Rough Neutrosophic Multisets
Author: Suriana Alias
Publisher: Infinite Study
Total Pages: 22
Release:
Genre: Mathematics
ISBN:

Rough neutrosophic multisets are an improved model of generalization pf neutrosophic multisets represented within the Pawlak’s boundary set of information: lower and upper approximation. The concepts of rough neutrosophic multisets can be easily extended to a relation, mainly since a relation is also a set, i.e. a subset of a Cartesian product. This paper establishes an axiomatic definition of rough neutrosophic multisets relation of Cartesian product over a universal set.

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.

The Encyclopedia of Neutrosophic Researchers, 2nd volume

The Encyclopedia of Neutrosophic Researchers, 2nd volume
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 111
Release:
Genre: Mathematics
ISBN:

This is the second volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to my invitation. The introduction contains a short history of neutrosophics, together with links to the main papers and books.

Handbook of Research on Advances and Applications of Fuzzy Sets and Logic

Handbook of Research on Advances and Applications of Fuzzy Sets and Logic
Author: Broumi, Said
Publisher: IGI Global
Total Pages: 944
Release: 2022-03-04
Genre: Mathematics
ISBN: 179987981X

Fuzzy logic, which is based on the concept of fuzzy set, has enabled scientists to create models under conditions of imprecision, vagueness, or both at once. As a result, it has now found many important applications in almost all sectors of human activity, becoming a complementary feature and supporter of probability theory, which is suitable for modelling situations of uncertainty derived from randomness. Fuzzy mathematics has also significantly developed at the theoretical level, providing important insights into branches of traditional mathematics like algebra, analysis, geometry, topology, and more. With such widespread applications, fuzzy sets and logic are an important area of focus in mathematics. The Handbook of Research on Advances and Applications of Fuzzy Sets and Logic studies recent theoretical advances of fuzzy sets and numbers, fuzzy systems, fuzzy logic and their generalizations, extensions, and more. This book also explores the applications of fuzzy sets and logic applied to science, technology, and everyday life to further provide research on the subject. This book is ideal for mathematicians, physicists, computer specialists, engineers, practitioners, researchers, academicians, and students who are looking to learn more about fuzzy sets, fuzzy logic, and their applications.

Neutrosophic Multi-Criteria Decision Making

Neutrosophic Multi-Criteria Decision Making
Author: Florentin Smarandache
Publisher: MDPI
Total Pages: 207
Release: 2018-10-12
Genre: Mathematics
ISBN: 3038972886

This book is a printed edition of the Special Issue "Neutrosophic Multi-Criteria Decision Making" that was published in Axioms

Neutrosophic Soft Rough Graphs with Application

Neutrosophic Soft Rough Graphs with Application
Author: Muhammad Akram
Publisher: Infinite Study
Total Pages: 27
Release:
Genre:
ISBN:

Neutrosophic sets (NSs) handle uncertain information while fuzzy sets (FSs) and intuitionistic fuzzy sets (IFs) fail to handle indeterminate information. Soft set theory, neutrosophic set theory, and rough set theory are different mathematical models for handling uncertainties and they are mutually related.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 19 / 2018

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 19 / 2018
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 143
Release: 2018
Genre: Mathematics
ISBN: 159973561X

“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.