Binary Soft Connected Spaces and an Application of Binary Soft Sets in Decision Making Problem

One of the most important and basic topological properties is connectedness, which reflects the main characteristic of topological spaces and helps us to differentiate two topologies. Keeping in mind the importance of this concept, we initiate binary soft connectedness in binary soft topological spa...

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Veröffentlicht in:Fuzzy information and engineering Jg. 11; H. 4; S. 506 - 521
1. Verfasser: Hussain, Sabir
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Abingdon Taylor & Francis 02.10.2019
Taylor & Francis Group
Schlagworte:
binary soft boundary
binary soft connected
binary soft open(closed)
Binary soft topology
Decision making
Decision theory
Set theory
Topology
ISSN:1616-8658, 1616-8666
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Abstract One of the most important and basic topological properties is connectedness, which reflects the main characteristic of topological spaces and helps us to differentiate two topologies. Keeping in mind the importance of this concept, we initiate binary soft connectedness in binary soft topological spaces and explore its properties. It is interesting to mention that union of two binary soft connected spaces over and may not be a binary soft connected space. We also define and discuss binary soft boundary in binary soft topological spaces and establish the characterisation of binary soft connected spaces in terms of binary soft boundary. Moreover, we present an application of binary soft sets theory in decision making problem. We expect that this will be potentially useful research in theoretical as well as in any applicable directions to handle the problems of uncertainties and environment having ambiguities.
AbstractList One of the most important and basic topological properties is connectedness, which reflects the main characteristic of topological spaces and helps us to differentiate two topologies. Keeping in mind the importance of this concept, we initiate binary soft connectedness in binary soft topological spaces and explore its properties. It is interesting to mention that union of two binary soft connected spaces over and may not be a binary soft connected space. We also define and discuss binary soft boundary in binary soft topological spaces and establish the characterisation of binary soft connected spaces in terms of binary soft boundary. Moreover, we present an application of binary soft sets theory in decision making problem. We expect that this will be potentially useful research in theoretical as well as in any applicable directions to handle the problems of uncertainties and environment having ambiguities.
One of the most important and basic topological properties is connectedness, which reflects the main characteristic of topological spaces and helps us to differentiate two topologies. Keeping in mind the importance of this concept, we initiate binary soft connectedness in binary soft topological spaces and explore its properties. It is interesting to mention that union of two binary soft connected spaces over and may not be a binary soft connected space. We also define and discuss binary soft boundary in binary soft topological spaces and establish the characterisation of binary soft connected spaces in terms of binary soft boundary. Moreover, we present an application of binary soft sets theory in decision making problem. We expect that this will be potentially useful research in theoretical as well as in any applicable directions to handle the problems of uncertainties and environment having ambiguities.
Author Hussain, Sabir
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  email: sabiriub@yahoo.com, sh.hussain@qu.edu.sa
  organization: Department of Mathematics, College of Science, Qassim University
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SubjectTerms binary soft boundary
binary soft connected
binary soft open(closed)
Binary soft topology
Decision making
Decision theory
Set theory
Topology
Title Binary Soft Connected Spaces and an Application of Binary Soft Sets in Decision Making Problem
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