An approach for spherical fuzzy relations via relator spaces

Article type: Research Article

Authors: Tekin, Özlem^{a; *}

Affiliations: Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, Adıyaman, Turkey

Correspondence: [*] Corresponding author. Özlem Tekin^a,*, Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, Adıyaman, Turkey E-mail: oumdu@adiyaman.edu.tr.

Abstract: Spherical fuzzy sets are an advanced tool of three-dimensional membership functions which consist of membership, non-membership and hesitancy degrees. In this paper, it is introduced a new approach via proximal spaces for spherical fuzzy sets. To do this, the spherical fuzzy proximity axioms are defined on proximal relator spaces. Also, spherical fuzzy spatial Lodato proximity relation is studied. By using spherical fuzzy proximity relation, it is defined that descriptive proximity relation. An example is given how people are proximal(near) to each other via their description features.

Keywords: Proximity space, relator space, fuzzy relation, fuzzy proximity, spherical fuzzy sets, spherical fuzzy proximity

DOI: 10.3233/JIFS-230314

Journal: Journal of Intelligent & Fuzzy Systems, vol. 45, no. 4, pp. 6875-6886, 2023