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Mathematica Moravica
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Article . 2021
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Serial relation and textural rough set

Authors: Dost Şenol;

Serial relation and textural rough set

Abstract

The generalized rough set theory is based on the lower and upper approximation operators defined on the binary relation. The rough sets obtained from serial relations take an important place in topological applications. In this paper, we consider serial relation for texture spaces. A texturing U of a set U is a complete and completely distributive lattice of subset of the power set P(U) which satisfies some certain conditions. Serial relation is defined by using textural sections and presections under a direlation on a texturing. We give some properties of serial direlation and a discussion on rough set theory from the textural point of view under serial direlation. Further, the concept of serial direlation has been characterized in terms of lower and upper textural approximation operators.

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Keywords

fuzzy sets, serial relation, QA1-939, rough set, direlation, Reasoning under uncertainty in the context of artificial intelligence, texture, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Published in a Diamond OA journal