On Two Intuitionistic Fuzzy Modal Topological Structures-Reference-Cited by-同舟云学术

On Two Intuitionistic Fuzzy Modal Topological Structures

Published:2023-04-22 Issue:5 Volume:12 Page:408
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Atanassov Krassimir¹²^ORCID,Angelova Nora³^ORCID,Pencheva Tania⁴^ORCID

Affiliation:

1. Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., Bl. 105, 1113 Sofia, Bulgaria

2. Intelligent Systems Laboratory, Prof. Dr. Assen Zlatarov University, 1 “Prof. Yakimov” Blvd., 8010 Burgas, Bulgaria

3. Faculty of Mathematics and Informatics, Sofia University, 5 James Bouchier Blvd., 1164 Sofia, Bulgaria

4. Department of QSAR and Molecular Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., Bl. 105, 1113 Sofia, Bulgaria

Abstract

The concept of an Intuitionistic Fuzzy Modal Topological Structure (IFMTS) was introduced previously, and some of its properties were studied. So far, there are two different IFMTSs based on the classical intuitionistic fuzzy operations: “union” (∪) and “intersection” (∩). In the present paper, two new IFMTSs are developed. They are based on new intuitionistic fuzzy topological operators from closure and interior types, introduced here for the first time, and on the two standard intuitionistic fuzzy modal operators □ and ◊. Some basic properties of the new IFMTSs are discussed. The newly presented IFMTSs could be considered as a basis for the next research on the IFMTSs. Some ideas for the future development of the IFMTS theory and open problems are formulated, related to the existence of other intuitionistic fuzzy operations that can generate new intuitionistic fuzzy topological operators and, respectively, new IFMTSs.

Funder

Bulgarian National Science

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/5/408/pdf

Reference43 articles.

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