Year: 2025
Type: article
Abstract: This paper introduces the notion of picture fuzzy modal topological multifunctions. These structures are grounded on novel picture fuzzy topological operators for closure and interior types, thereby utilizing the two standard picture fuzzy modal operators $ \square $ and $ \Diamond $. The paper discusses several fundamental properties of picture fuzzy multifunctions. Many types of structures are introduced, and some types of continuous multifunctions between picture fuzzy topological structures are discussed. The results indicate that some properties considered satisfactory in the intuitionistic fuzzy modal topological structures, as defined by Atanassov in 2022, are not fulfilled.
Source: AIMS Mathematics
DOI: 10.3934/math.2025341
Authors: M. N. Abu_Shugair, A. A. Abdallah, Malek Alzoubi, S. E. Abbas, Ismail Ibedou
Institutions: Jazan University, Sohag University, Benha University
Language: English
Topic: Fuzzy and Soft Set Theory
Field: Decision Sciences
Domain: Social Sciences
Open Access status: gold
Estimated APC paid: $1,200
Funder: Jazan University
OpenAlex ID: W4409074191