Abstract:This article introduces $\theta_{f}$-approximations of sets in fuzzy proximal relator space where $\theta\in\lbrack0,1)$. $\theta_{f}$-approximation provides a more sensitive approach for the upper approximations of subsets or subimages. $\theta_{f}$-approximation of a subimage are given with an example in digital images. Furthermore, $\theta_{f}$-approximately groupoid and semigroup in fuzzy proximal relator space are introduced.
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.