On Single Valued Neutrosophic Re Ned Rough Set Model And Its Application


On Single Valued Neutrosophic Re Ned Rough Set Model And Its Application
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On Single Valued Neutrosophic Re Ned Rough Set Model And Its Application


On Single Valued Neutrosophic Re Ned Rough Set Model And Its Application
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Author : Yan-Ling Bao
language : en
Publisher: Infinite Study
Release Date :

On Single Valued Neutrosophic Re Ned Rough Set Model And Its Application written by Yan-Ling Bao and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


Neutrosophic set (NS) theory was originally established by Smarandache for handling indeterminate and inconsistent information.



Single Valued Neutrosophic Soft Approach To Rough Sets Theory And Application


Single Valued Neutrosophic Soft Approach To Rough Sets Theory And Application
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Author : Emad Marei
language : en
Publisher: Infinite Study
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Single Valued Neutrosophic Soft Approach To Rough Sets Theory And Application written by Emad Marei and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


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.



A New Type Of Single Valued Neutrosophic Covering Rough Set Model


A New Type Of Single Valued Neutrosophic Covering Rough Set Model
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Author : Jingqian Wang
language : en
Publisher: Infinite Study
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A New Type Of Single Valued Neutrosophic Covering Rough Set Model written by Jingqian Wang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


Recently, various types of single valued neutrosophic (SVN) rough set models were presented based on the same inclusion relation. However, there is another SVN inclusion relation in SVN sets. In this paper, we propose a new type of SVN covering rough set model based on the new inclusion relation.



Bipolar Quadripartitioned Single Valued Neutrosophic Rough Set


Bipolar Quadripartitioned Single Valued Neutrosophic Rough Set
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Author : Kalyan Sinha
language : en
Publisher: Infinite Study
Release Date : 2020-12-01

Bipolar Quadripartitioned Single Valued Neutrosophic Rough Set written by Kalyan Sinha and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-01 with Mathematics categories.


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.



A New Single Valued Neutrosophic Rough Sets And Related Topology


A New Single Valued Neutrosophic Rough Sets And Related Topology
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Author : Qiu Jin
language : en
Publisher: Infinite Study
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A New Single Valued Neutrosophic Rough Sets And Related Topology written by Qiu Jin and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


(Fuzzy) rough sets are closely related to (fuzzy) topologies. Neutrosophic rough sets and neutrosophic topologies are extensions of (fuzzy) rough sets and (fuzzy) topologies, respectively. In this paper, a new type of neutrosophic rough sets is presented, and the basic properties and the relationships to neutrosophic topology are discussed.



New Single Valued Neutrosophic Rough Sets And Related Topology


New Single Valued Neutrosophic Rough Sets And Related Topology
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Author : Qiu Jin
language : en
Publisher: Infinite Study
Release Date :

New Single Valued Neutrosophic Rough Sets And Related Topology written by Qiu Jin and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


(Fuzzy) rough sets are closely related to (fuzzy) topologies. Neutrosophic rough sets and neutrosophic topologies are extensions of (fuzzy) rough sets and (fuzzy) topologies, respectively. In this paper, a new type of neutrosophic rough sets is presented, and the basic properties and the relationships to neutrosophic topology are discussed.



Multigranulation Single Valued Neutrosophic Covering Based Rough Sets And Their Applications To Multi Criteria Group Decision Making


Multigranulation Single Valued Neutrosophic Covering Based Rough Sets And Their Applications To Multi Criteria Group Decision Making
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Author : J. Q. Wang
language : en
Publisher: Infinite Study
Release Date :

Multigranulation Single Valued Neutrosophic Covering Based Rough Sets And Their Applications To Multi Criteria Group Decision Making written by J. Q. Wang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


In this paper, three types of (philosophical, optimistic and pessimistic) multigranulation single valued neutrosophic (SVN) covering-based rough set models are presented, and these three models are applied to the problem of multi-criteria group decision making (MCGDM).



Generalized Interval Neutrosophic Rough Sets And Its Application In Multi Attribute Decision Making


Generalized Interval Neutrosophic Rough Sets And Its Application In Multi Attribute Decision Making
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Author : Hai-Long Yang
language : en
Publisher: Infinite Study
Release Date :

Generalized Interval Neutrosophic Rough Sets And Its Application In Multi Attribute Decision Making written by Hai-Long Yang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


Neutrosophic set (NS) was originally proposed by Smarandache to handle indeterminate and inconsistent information. It is a generalization of fuzzy sets and intuitionistic fuzzy sets. Wang and Smarandache proposed interval neutrosophic sets (INS) which is a special case of NSs and would be extensively applied to resolve practical issues. In this paper, we put forward generalized interval neutrosophic rough sets based on interval neutrosophic relations by combining interval neutrosophic sets with rough sets. We explore the hybrid model through constructive approach as well as axiomatic approach. On one hand, we define generalized interval neutrosophic lower and upper approximation operators through constructive approach. Moreover, we investigate the relevance between generalized interval neutrosophic lower (upper) approximation operators and particular interval neutrosophic relations. On the other hand, we study axiomatic characterizations of generalized interval neutrosophic approximation operators, and also show that different axiom sets of theoretical interval neutrosophic operators make sure the existence of different classes of INRs that yield the same interval neutrosophic approximation operators. Finally, we introduce generalized interval neutrosophic rough sets on two universes and a universal algorithm of multi-attribute decision making based on generalized interval neutrosophic rough sets on two universes. Besides, an example is given to demonstrate the validity of the new rough set model.



Multi Granulation Neutrosophic Rough Sets On A Single Domain And Dual Domains With Applications


Multi Granulation Neutrosophic Rough Sets On A Single Domain And Dual Domains With Applications
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Author : Chunxin Bo
language : en
Publisher: Infinite Study
Release Date :

Multi Granulation Neutrosophic Rough Sets On A Single Domain And Dual Domains With Applications written by Chunxin Bo and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


It is an interesting direction to study rough sets from a multi-granularity perspective. In rough set theory, the multi-particle structure was represented by a binary relation. This paper considers a new neutrosophic rough set model, multi-granulation neutrosophic rough set (MGNRS). First, the concept of MGNRS on a single domain and dual domains was proposed. Then, their properties and operators were considered. We obtained that MGNRS on dual domains will degenerate into MGNRS on a single domain when the two domains are the same. Finally, a kind of special multi-criteria group decision making (MCGDM) problem was solved based on MGNRS on dual domains, and an example was given to show its feasibility.



Generalized Interval Neutrosophic Rough Sets And Its Application In Multi Attribute Decision Making


Generalized Interval Neutrosophic Rough Sets And Its Application In Multi Attribute Decision Making
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Author : Hai-Long Yang
language : en
Publisher: Infinite Study
Release Date :

Generalized Interval Neutrosophic Rough Sets And Its Application In Multi Attribute Decision Making written by Hai-Long Yang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


Neutrosophic set (NS) was originally proposed by Smarandache to handle indeterminate and inconsistent information.