$\theta_f$-Approximations via fuzzy proximity relations: Semigroups in digital images

Ebubekir İNAN; Mustafa UÇKUN

doi:10.26637/mjm1103/007

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.

Keywords:

Proximity space, relator space, descriptive approximation, approximately semigroup

Mathematics Subject Classification:

08A05, 68Q32, 54E05

Authors Imprint References Funding Related Articles Downloads

Ebubekir İNAN Adıyaman University, Faculty of Arts and Sciences, Department of Mathematics, 02040, Adıyaman, Turkey.
Mustafa UÇKUN Adıyaman University, Faculty of Arts and Sciences, Department of Mathematics, 02040, Adıyaman, Turkey. https://orcid.org/0000-0003-1813-5272

Pages: 303-311
Date Published: 01-07-2023
Vol. 11 No. 03 (2023): Malaya Journal of Matematik (MJM)

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