Soft Interval –Valued Neutrosophic Rough Sets

Soft Interval –Valued Neutrosophic Rough Sets
Author: Said Broumi
Publisher: Infinite Study
Total Pages: 12
Release:
Genre:
ISBN:

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In this paper, we first defined soft interval- valued neutrosophic rough sets(SIVN- rough sets for short) which combines interval valued neutrosophic soft set and rough sets and studied some of its basic properties.

Neutrosophic Sets and Systems, Vol. VII

Neutrosophic Sets and Systems, Vol. VII
Author: Florentin Smarandache, Mumtaz Ali
Publisher: Infinite Study
Total Pages: 90
Release: 2015-02-01
Genre:
ISBN: 1599733323

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Twelve papers on soft interval-valued neutrosophic rough sets, fuzzy neutosophic relation equations with geometric programming, rough neutrosophic multi-attribute decision-making, classes of neutrosophic crisp nearly open sets and possible application to GIS topology, neutrosophic probability in physics, and similar topics. Contributors: H. E. Khalid, K. Mondal, S. Pramanik, A. A. Salama, S. Broumi, F. Smarandache, F. Yuhua, M. Ali, M. Shabir, V. Patrascu, S. Ye, J. Fu, J. Ye, A. Hussain, and L. Vladareanu.

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
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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.

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.

Lower and Upper Soft Interval Valued Neutrosophic Rough Approximations of An IVNSS-Relation

Lower and Upper Soft Interval Valued Neutrosophic Rough Approximations of An IVNSS-Relation
Author: Said Broumi
Publisher: Infinite Study
Total Pages: 8
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Genre:
ISBN:

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In this paper, we extend the lower and upper soft interval valued intuitionstic fuzzy rough approximations of IVIFS –relations proposed by Anjan et al. to the case of interval valued neutrosophic soft set relation(IVNSS-relation for short) .

Interval Neutrosophic Rough Set

Interval Neutrosophic Rough Set
Author: Said Broumi
Publisher: Infinite Study
Total Pages: 9
Release:
Genre:
ISBN:

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This Paper combines interval- valued neutrouphic sets and rough sets. It studies roughness in interval- valued neutrosophic sets and some of its properties. Finally we propose a Hamming distance between lower and upper approximations of interval valued neutrosophic sets

N-Valued Interval Neutrosophic Sets and Their Application in Medical Diagnosis

N-Valued Interval Neutrosophic Sets and Their Application in Medical Diagnosis
Author: Said Broumi
Publisher: Infinite Study
Total Pages: 25
Release:
Genre:
ISBN:

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In this paper a new concept is called n-valued interval neutrosophic sets is given. The basic operations are introduced on n-valued interval neutrosophic sets such as; union, intersection, addition, multiplication, scalar multiplication, scalar division, truthfavorite and false-favorite.

Arithmetic Operations of Neutrosophic Sets, Interval Neutrosophic Sets and Rough Neutrosophic Sets

Arithmetic Operations of Neutrosophic Sets, Interval Neutrosophic Sets and Rough Neutrosophic Sets
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 18
Release:
Genre: Mathematics
ISBN:

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In approximation theory, neutrosophic set and logic show an important role. They are generalizations of intuitionistic fuzzy set and logic respectively. Based on neutrosophy, which is a new branch of philosophy, every idea X, has an opposite denoted as anti (X) and their neutral which is denoted as neut (X). These are the main features of neutrosophic set and logic. This chapter is based on the basic concepts of neutrosophic set as well as some of their hybrid structures. In this chapter, we define and study the notion of neutrosophic set and their basic properties. Moreover, interval-valued neutrosophic set are studied with some of their properties. Finally, we define rough neutrosophic sets.

Neutrosophic Sets and Systems, vol. 7/2015

Neutrosophic Sets and Systems, vol. 7/2015
Author: H. E. Khalid
Publisher: Infinite Study
Total Pages: 90
Release:
Genre:
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.