On Some Similarity Measures of Single Valued Neutrosophic Rough Sets.
On Some Similarity Measures of Single Valued Neutrosophic Rough Sets.

Author: K. Mohana

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

DOWNLOAD EBOOK

In this paper we have obtained the similarity measures between single valued neutrosophic rough sets by analyzing the concept of its distance between them and studied its properties. Further we have studied its similarity based on its membership degrees and studied its properties. We have also defined the cardinality of two single valued neutrosophic rough sets. A numerical example in medical diagnosis is given for the proposed similarity measure of the single valued neutrosophic rough sets which helps us to prove the usefulness and flexibility of the proposed method.

Bipolar quadripartitioned single valued neutrosophic rough set
Bipolar quadripartitioned single valued neutrosophic rough set

Author: Kalyan Sinha

Publisher: Infinite Study

Published: 2020-12-01

Total Pages: 14

ISBN-13:

DOWNLOAD EBOOK

Here bipolar quadripartitioned single valued neutrosophic rough (BQSVNR) set is introduced. Some basic set theoretic terminologies like constant BQSVNR set, subsethood of two BQSVNR sets are shown. Algebraic operations like union, intersection and complement have also been defined. Different types of measure like similarity measure, quasi similarity measure and distance measures between two BQSVNR sets have been discussed with their properties. Again various measures of similarity namely distance based similarity measure, cosine similarity measure, membership function based similarity measure are introduced in this paper. A medical diagonasis problem has been solved using similarity measure at the end.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 24 / 2018
Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 24 / 2018

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 156

ISBN-13: 1599735989

DOWNLOAD EBOOK

“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.

NS-Cross Entropy-Based MAGDM under Single-Valued Neutrosophic Set Environment
NS-Cross Entropy-Based MAGDM under Single-Valued Neutrosophic Set Environment

Author: Surapati Pramanik

Publisher: Infinite Study

Published:

Total Pages: 22

ISBN-13:

DOWNLOAD EBOOK

A single-valued neutrosophic set has king power to express uncertainty characterized by indeterminacy, inconsistency and incompleteness. Most of the existing single-valued neutrosophic cross entropy bears an asymmetrical behavior and produces an undefined phenomenon in some situations.

Transactions on Rough Sets XXIII
Transactions on Rough Sets XXIII

Author: James F. Peters

Publisher: Springer Nature

Published: 2023-01-01

Total Pages: 513

ISBN-13: 3662665441

DOWNLOAD EBOOK

The LNCS journal Transactions on Rough Sets is devoted to the entire spectrum of rough sets related issues, from logical and mathematical foundations, through all aspects of rough set theory and its applications, such as data mining, knowledge discovery, and intelligent information processing, to relations between rough sets and other approaches to uncertainty, vagueness, and incompleteness, such as fuzzy sets and theory of evidence. Volume XXIII in the series is a continuation of a number of research streams that have grown out of the seminal work of Zdzislaw Pawlak during the first decade of the 21st century.

Development of Hybrids of Hypersoft Set with Complex Fuzzy Set, Complex Intuitionistic Fuzzy set and Complex Neutrosophic Set
Development of Hybrids of Hypersoft Set with Complex Fuzzy Set, Complex Intuitionistic Fuzzy set and Complex Neutrosophic Set

Author: Atiqe Ur Rahman

Publisher: Infinite Study

Published: 2020-12-01

Total Pages: 20

ISBN-13:

DOWNLOAD EBOOK

The complex fuzzy soft set and its generalized hybrids are such effective structures which not only minimize the impediments of all complex fuzzy-like structures for dealing uncertainties but also fulfill all the parametric requirements of soft sets. This feature makes it a completely new mathematical tool for solving problems dealing with uncertainties. Smarandache conceptualized hypersoft set as a generalization of soft set as it transforms the single attribute function into a multi-attribute function. This generalization demands an extension of complex fuzzy soft-like structures to hypersoft structure for more precise results. In this study, hybrids of hypersoft set with complex fuzzy set and its generalized structures i.e. complex intuitionistic fuzzy set and complex neutrosophic set, are developed along with illustrative examples to address the demand of literature. Moreover, some of their fundamentals i.e. subset, equal sets, null set, absolute set etc. and theoretic operations i.e. compliment, union, intersection etc. are discussed.