Roughness in Anti Semigroup
Faraj.A.Abdunabi, Ahmed shletiet, Najah.A.Bosaif
TL;DR
This paper introduces the concepts of rough approximations and homomorphisms in anti-rough algebraic structures like anti-semigroups and anti-groups, expanding the theoretical framework of rough set theory.
Contribution
It defines and explores rough approximations and homomorphisms in anti-rough algebraic structures, a novel extension in rough set theory.
Findings
Defined upper and lower approximations for anti-rough subgroups and semigroups
Studied properties of these approximations in finite anti-groups
Introduced the concept of homomorphism in anti-rough algebraic structures
Abstract
In this paper, we present the concepts of the upper and lower approximations of Anti-rough subgroups, Anti-rough subsemigroups, and homeomorphisms of Anti-Rough anti-semigroups in approximation spaces. Specify the concepts of rough in Finite anti-groups of types(4) are studies. Moreover, some properties of approximations and these algebraic structures are introduced. In addition, we give the definition of homomorphism anti-group.
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