New types of soft rough sets in groups based on normal soft groups
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DOI: 10.1007/s40314-020-1098-8
Abstract: Hybridization of soft sets and rough sets is an important way to deal with uncertainties. This paper aims to study the concept of roughness in soft sets over groups. In this regard, a pair of… read more here.
Keywords: sets groups; approximation spaces; normal soft; rough sets ... See more keywords
Approximation spaces inspired by subset rough neighborhoods with applications
Sign Up to like & getrecommendations! Published in 2023 at "Demonstratio Mathematica"
DOI: 10.1515/dema-2022-0223
Abstract: Abstract In this manuscript, we first generate topological structures by subset neighborhoods and ideals and apply to establish some generalized rough-set models. Then, we present other types of generalized rough-set models directly defined by the… read more here.
Keywords: spaces inspired; approximation spaces; approximation; inspired subset ... See more keywords
Bi-Fuzzy S-Approximation Spaces
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DOI: 10.3390/math13020324
Abstract: The S-approximation spaces are significant extension of the rough set model and have been widely applied in intelligent decision-making. However, traditional S-approximation spaces are limited to two crisp universes, whereas bi-fuzzy universes (i.e., two distinct… read more here.
Keywords: approximation spaces; bfs approximation; approximation; fuzzy approximation ... See more keywords
Five Generalized Rough Approximation Spaces Produced by Maximal Rough Neighborhoods
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DOI: 10.3390/sym15030751
Abstract: In rough set theory, the multiplicity of methods of calculating neighborhood systems is very useful to calculate the measures of accuracy and roughness. In line with this research direction, in this article we present novel… read more here.
Keywords: adhesion; approximation spaces; rough approximation; generalized rough ... See more keywords
A Novel Rough Set Model in Generalized Single Valued Neutrosophic Approximation Spaces and Its Application
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DOI: 10.3390/sym9070119
Abstract: In this paper, we extend the rough set model on two different universes in intuitionistic fuzzy approximation spaces to a single-valued neutrosophic environment. Firstly, based on the ( α , β , γ ) -cut… read more here.
Keywords: approximation spaces; valued neutrosophic; single valued; rough set ... See more keywords
Near-rings on nearness approximation spaces
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DOI: 10.3906/mat-1912-81
Abstract: In this study, nearness near-ring, subnearness near-ring, nearness M-group and nearness ideal are introduced. By considering operations on the set of all near left weak cosets, nearness near-ring of all near left weak cosets and… read more here.
Keywords: rings nearness; near rings; near ring; approximation spaces ... See more keywords