Single Valued Neutrosophic Soft Approach to Rough Sets, Theory and Application

Single Valued Neutrosophic Soft Approach to Rough Sets, Theory and Application
Author: Emad Marei
Publisher: Infinite Study
Total Pages: 10
Release:
Genre: Mathematics
ISBN:

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This paper aims to introduce a single valued neutrosophic soft approach to rough sets based on neutrosophic right minimal structure. Some of its properties are deduced and proved. A comparison between traditional rough model and suggested model, by using their properties is concluded to show that Pawlak’s approach to rough sets can be viewed as a special case of single valued neutrosophic soft approach to rough sets.

Single Valued Neutrosophic Soft Approach to Rough Sets, Theory and Application

Single Valued Neutrosophic Soft Approach to Rough Sets, Theory and Application
Author: Emad Marei
Publisher: Infinite Study
Total Pages: 10
Release:
Genre:
ISBN:

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This paper aims to introduce a single valued neutrosophic soft approach to rough sets based on neutrosophic right minimal structure. Some of its properties are deduced and proved.

A Novel Rough Set Model in Generalized Single Valued Neutrosophic Approximation Spaces and Its Application

A Novel Rough Set Model in Generalized Single Valued Neutrosophic Approximation Spaces and Its Application
Author: Zhi-Lian Guo
Publisher: Infinite Study
Total Pages: 19
Release:
Genre:
ISBN:

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In this paper, we extend the rough set model on two different universes in intuitionistic fuzzy approximation spaces to a single-valued neutrosophic environment.

Two Types of Single Valued Neutrosophic Covering Rough Sets and an Application to Decision Making

Two Types of Single Valued Neutrosophic Covering Rough Sets and an Application to Decision Making
Author: Jingqian Wang
Publisher: Infinite Study
Total Pages: 20
Release:
Genre: Mathematics
ISBN:

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In this paper, to combine single valued neutrosophic sets (SVNSs) with covering-based rough sets, we propose two types of single valued neutrosophic (SVN) covering rough set models. Furthermore, a corresponding application to the problem of decision making is presented.

A Novel Approach to Neutrosophic Soft Rough Set under Uncertainty

A Novel Approach to Neutrosophic Soft Rough Set under Uncertainty
Author: Ashraf Al-Quran
Publisher: Infinite Study
Total Pages: 16
Release:
Genre: Mathematics
ISBN:

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To handle indeterminate and incomplete data, neutrosophic logic/set/probability were established. The neutrosophic truth, falsehood and indeterminacy components exhibit symmetry as the truth and the falsehood look the same and behave in a symmetrical way with respect to the indeterminacy component which serves as a line of the symmetry. Soft set is a generic mathematical tool for dealing with uncertainty. Rough set is a new mathematical tool for dealing with vague, imprecise, inconsistent and uncertain knowledge in information systems. This paper introduces a new rough set model based on neutrosophic soft set to exploit simultaneously the advantages of rough sets and neutrosophic soft sets in order to handle all types of uncertainty in data. The ideaof neutrosophic right neighborhood is utilised to define the concepts of neutrosophic soft rough (NSR) lower and upper approximations. Properties of suggested approximations are proposed and subsequently proven. Some of the NSR set concepts such as NSR-definability, NSR-relations and NSR-membership functions are suggested and illustrated with examples. Further, we demonstrate the feasibility of the newly rough set model with decision making problems involving neutrosophic soft set. Finally, a discussion on the features and limitations of the proposed model is provided.

ROUGH NEUTROSOPHIC SOFT SETS

ROUGH NEUTROSOPHIC SOFT SETS
Author: Somen Debnath
Publisher: Infinite Study
Total Pages: 11
Release:
Genre: Mathematics
ISBN:

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Soft set(SS) theory is a mathematical tool deals with parametric data which are imprecise in nature.It is a generalization of fuzzy set theory. On the other hand Rough set(RS) theory and Neutrosophic set (NS)theory both rising as powerful tool to handle uncertain, incomplete, inconsistent and imprecise information in an effective manner.Actually Neutrosophic set is a generalization of intuitionistic fuzzy set.Earlier Neutrosophic soft set(NSS) was established by combining the concept of Soft set and Neutrosophic set .In this paper , using the concept of Rough set,Neutrosophic set and soft set a hybrid structure Rough neutrosophic soft sets(RNSS) is developed.Some properties and operations on RNSS are introduced.

Neutrosophic Sets and Systems, vol 20/2018

Neutrosophic Sets and Systems, vol 20/2018
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 133
Release:
Genre: Mathematics
ISBN:

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“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.

A Novel Approach to Neutrosophic Soft Rough Set under Uncertainty

A Novel Approach to Neutrosophic Soft Rough Set under Uncertainty
Author: Ashraf Al-Quran
Publisher: Infinite Study
Total Pages: 16
Release:
Genre: Mathematics
ISBN:

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This paper introduces a new rough set model based on neutrosophic soft set to exploit simultaneously the advantages of rough sets and neutrosophic soft sets in order to handle all types of uncertainty in data.

About Rough Neutrosophic Soft Sets Theory and Study Their Properties

About Rough Neutrosophic Soft Sets Theory and Study Their Properties
Author: Somen Debnath
Publisher: Infinite Study
Total Pages: 8
Release:
Genre: Mathematics
ISBN:

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Earlier fuzzy set, vague set, intuitionistic fuzzy set, L-fuzzy set etc are used as a mathematical tools for solving problems based on uncertainties or ambiguous in nature. But due to more complexity involves in problems exist in nature, traditional tools are unable to handle those in a systematic manner. So we need a tool which is more flexible to handle those problems. Which leads to the invention of soft set which was introduced by Molodtsov in 1999. Soft set (SS) theory is a mathematical tool deals with parametric data which are imprecise in nature. Ithis a generalization of fuzzy set theory. On the other hand Rough set (RS) theory and Neutrosophic set (NS) theory both rising as a powerful tool to handle these uncertain, incomplete, inconsistent and imprecise information in an effective manner. Actually Neutrosophic set is a generalization of intuitionistic fuzzy set. Sometimes it is not possible to handle all sorts of uncertain problems with a single mathematical tool. Fusion of two or more mathematical tools give rise to a new mathematical concept which gives an idea how to solve such type of problems in a more sophisticated ways. Which leads to the introduction of fuzzy soft set, rough soft set, intuitionistic fuzzy soft set, soft rough set etc. Neutrosophic soft set (NSS) was established by combining the concept of Soft set and Neutrosophic set. In this paper, using the concept of Rough set and Neutrosophic soft set a new concept known as Rough neutrosophic soft set (RNSS) is developed. Some properties and operations on them are introduced.