Properties of frontier, exterior and border in picture topological spaces

Authors

SHANMUGASUNDHARAM DURGAFollow
LAKSHMANADAS VIDYARANIFollow
MANDARASALAM VIGNESHWARANFollow
TOMASZ WITCZAKFollow

Author ORCID Identifier

Shanmugasundharam DURGA: 0009-0006-6508-2889

Lakshmanadas VIDYARANI: 0000-0002-2244-7140

Mandarasalam VIGNESHAWARAN: 0000-0003-1845-6877

TOMASZ WITCZAK: 0000-0002-1178-3691

Abstract

The paper is dedicated to picture sets. They are crisp version of Cuong's picture fuzzy sets (just like intuitionistic sets introduced by Coker are crisp version of intuitionistic fuzzy sets). We have already defined several basic topological notions in this framework and we have analyzed its algebra. Now we continue our research. We introduce the notions of border, frontier and exterior. Many properties are studied. Moreover, we point out that there are some important differences between classical and non-classical approach.

DOI

10.55730/1300-0098.3575

Keywords

closure, fuzzy, intuitionistic, neutrosophic, topology

First Page

96

Last Page

116

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

DURGA, SHANMUGASUNDHARAM; VIDYARANI, LAKSHMANADAS; VIGNESHWARAN, MANDARASALAM; and WITCZAK, TOMASZ (2025) "Properties of frontier, exterior and border in picture topological spaces," Turkish Journal of Mathematics: Vol. 49: No. 1, Article 7. https://doi.org/10.55730/1300-0098.3575
Available at: https://journals.tubitak.gov.tr/math/vol49/iss1/7