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New intuitionistic fuzzy operations, operators and topological structures | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 20، شماره 7، بهمن و اسفند 2023، صفحه 37-53 اصل مقاله (178.27 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2023.7629 | ||
| نویسندگان | ||
| K. T. Atanassov* 1؛ R. Tsvetkov2 | ||
| 1Bulgarian Academy of Sciences Centre of Biomedical Engineering 1113 Sofia, Bulgeria | ||
| 2Faculty of Applied Mathematics and Informatics, Technical University of Sofia, 1000 Sofia, Bulgaria | ||
| چکیده | ||
| Two new intuitionistic fuzzy operations (union and intersection) are defined. Based on them, two new topological operators (of a closure and of an interior types) are introduced. Some properties of these obects are studied. Based on them, four new intuitionistic fuzzy topological structures are introduced and some of their properties are discussed. Integral forms of both new intuitionistic fuzzy operations and of both intuitionistic fuzzy operators are given. | ||
| کلیدواژهها | ||
| Intuitionistic fuzzy operation؛ intuitionistic fuzzy operator؛ intuitionistic fuzzy set؛ intuitionistic fuzzy topological structure | ||
| مراجع | ||
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