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Generalization of Soft Topological Polygroups
New Mathematics and Natural Computation, 2023In this paper, we first present two different definitions for soft topological polygroups and mention some examples and important theorems related to them. Then a generalization of these two definitions is given. This generalization is such that it returns to the same two previous definitions in certain cases.
Rasoul Mousarezaei, Bijan Davvaz
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Soft Topologies Generated by Soft Set Relations
2016This chapter discusses different soft set topologies using binary soft set relations. The relationship between soft set topologies and different relations are investigated and some of the properties of these soft set topologies are obtained. The concept of topology generated by relations in the context of soft sets seems to be a promising tool for ...
K. V. Babitha, Sunil Jacob John
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Soft mappings on soft generalized topological spaces
Creative Mathematics and Informatics, 2018In the present paper, we introduce g−open soft mapping, g−closed soft mapping, g−pseudo-open soft mapping, g−quotient soft mapping on soft generalized topological spaces. Furthermore, we discuss some characterizations and some applications of them.
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Generalized soft rough sets and generated soft ideal rough topological spaces
Journal of Intelligent & Fuzzy Systems, 2018Soft set theory and rough set theory are mathematical tools for dealing with uncertainties and are closely related. The main purpose of soft rough set is reducing the soft boundary region by increasing the lower approximation and decreasing the upper approximation.
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Soft sets over power sets: Generalities and applications to topology
Journal of Intelligent & Fuzzy Systems, 2015Abstract The concept of soft set theory was introduced by D. Molodtsov in 1999 for modeling uncertainty. In [13] a special kinds of soft sets, namely soft neighborhood set, was defined and the relations between this concept and classical topology was given. In this paper, our aim is to extend the studies in [13].
Banu Pazar Varol, Halis Aygün
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