Soft isomorphism for digital images and computational topological applications

Article type: Research Article

Authors: Öztunç, Simge^{a; *} | İhtiyar, Sultan^b

Affiliations: Manisa Celal Bayar University, Faculty of Science and Arts, Department of Mathematics, Martyr Prof. Dr. İlhan Varank Campus, Yunus Emre Manisa/Turkey

Correspondence: [*] Corresponding author. Simge Öztunç. E-mail: simge.oztunc@cbu.edu.tr.

Abstract: In this paper the concept of soft continuity is focused on for digital images by using soft sets which is defined on κ - adjacent digital images. Also the definitions of digital soft isomorphism and digital soft retraction are given. Some theorems are obtained deal with soft isomorphism and soft retraction for digital images and some numerical examples are presented in dimension 2. Finally digital soft retraction is obtained as a soft topological invariant.

Keywords: Digital image, soft set, soft continuous function, soft retraction

DOI: 10.3233/JIFS-221213

Journal: Journal of Intelligent & Fuzzy Systems, vol. 44, no. 2, pp. 3011-3021, 2023