APPROXIMATION OPERATORS DERIVED FROM GROUPS

Mustafa Burç Kandemir

Abstract


This study introduces lower and upper approximation sets

for a subset using group-theoretic concepts such as the cyclic subgroup

generated by an element, the centralizer and normalizer of an element,

the orbit and stabilizer of an element under a group action, and their

fundamental properties are investigated. Furthermore, a potential application

method is presented using orbital lower and upper approximation

and orbital boundary concepts on the set of digital images using a group

action. Thus, group-theoretic concepts are directly applied.


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