Rough approximation operators on algebraic hyperstructures
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Abstract (EN)
Rough set theory is an important mathematical tool for modeling uncertainty. This theory has reached a wide potential for study in many fields, especially mathematics, engineering, medicine and computer science. On the wide potential for other hand, new structures have been introduced by combining algebraic hyperstructures, which compose generalizations of classical algebraic structures along with rough set theory. In this study, definitions and some properties of hypergroups, polygroups, hyperrings, rough sets and rough groups are given. Then the relationships between rough hypergroups, rough polygroups and rough hyperrings on algebraic hyperstructures are examined.
Author
Ayhan Yüksel
Institution
How to Cite
Ayhan Yüksel (Master Thesis). Rough approximation operators on algebraic hyperstructures, 2025, Harran University.
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