| dc.contributor.author | D. L. Shi | |
| dc.contributor.author | M. N. Abu_Shugair | |
| dc.contributor.author | S. E. Abbas | |
| dc.contributor.author | Ismail Ibedou | |
| dc.contributor.other | Gugangzhou College of Technology and Business, China | |
| dc.contributor.other | Mathematics Department, College of Science, Jazan University, Jazan 45142, Saudi Arabia | |
| dc.contributor.other | Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt | |
| dc.contributor.other | Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt | |
| dc.date.accessioned | 2025-08-27T02:32:32Z | |
| dc.date.accessioned | 2025-10-08T08:07:02Z | |
| dc.date.available | 2025-10-08T08:07:02Z | |
| dc.date.issued | 2025-07 | |
| dc.identifier.uri | https://www.aimspress.com/article/doi/10.3934/math.2025738 | |
| dc.identifier.uri | http://digilib.fisipol.ugm.ac.id/repo/handle/15717717/35615 | |
| dc.description.abstract | This paper introduces the notion of a temporal picture fuzzy modal topological structure (TPFMTS). These structures are based on novel temporal picture fuzzy topological operators as common modal topological operators standing for the closure and interior operators. The paper discusses several fundamental properties of these new TPFMTSs. The constructed temporal picture fuzzy modal topological operators establish that some properties that were considered satisfactory in the temporal intuitionistic fuzzy modal topological structures, as defined by Atanassov in 2023, are not fulfilled. Also, we introduce the concepts of $ TPF^u $ and $ TPF^l $-continuous and almost continuous multifunctions. Several properties and characterizations of the presented continuous multifunctions and their types of continuity are established. Some examples are given to explain the correct implications between these notions. | |
| dc.language.iso | EN | |
| dc.publisher | AIMS Press | |
| dc.subject.lcc | Mathematics | |
| dc.title | Temporal topological operators with picture fuzzy multifunctions | |
| dc.type | Article | |
| dc.description.keywords | temporal picture fuzzy set | |
| dc.description.keywords | picture fuzzy modal operator | |
| dc.description.keywords | picture fuzzy topological structure | |
| dc.description.keywords | topology | |
| dc.description.keywords | ideal | |
| dc.description.keywords | multifunction | |
| dc.description.pages | 16477-16497 | |
| dc.description.doi | 10.3934/math.2025738 | |
| dc.title.journal | AIMS Mathematics | |
| dc.identifier.e-issn | 2473-6988 | |
| dc.identifier.oai | cf6c6762f9244c1f9ebe3ecf3b8cd4ac | |
| dc.journal.info | Volume 10, Issue 7 | |
