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Ibedou, I., Abbas, S. E.. (1401). Generalization of rough fuzzy sets based on a fuzzy ideal. نشریه علمی دانشگاه سیستان و بلوچستان, 20(1), 27-38. doi: 10.22111/ijfs.2023.7344
I. Ibedou; S. E. Abbas. "Generalization of rough fuzzy sets based on a fuzzy ideal". نشریه علمی دانشگاه سیستان و بلوچستان, 20, 1, 1401, 27-38. doi: 10.22111/ijfs.2023.7344
Ibedou, I., Abbas, S. E.. (1401). 'Generalization of rough fuzzy sets based on a fuzzy ideal', نشریه علمی دانشگاه سیستان و بلوچستان, 20(1), pp. 27-38. doi: 10.22111/ijfs.2023.7344
Ibedou, I., Abbas, S. E.. Generalization of rough fuzzy sets based on a fuzzy ideal. نشریه علمی دانشگاه سیستان و بلوچستان, 1401; 20(1): 27-38. doi: 10.22111/ijfs.2023.7344

Generalization of rough fuzzy sets based on a fuzzy ideal

Iranian Journal of Fuzzy Systems
مقاله 4، دوره 20، شماره 1، فروردین و اردیبهشت 2023، صفحه 27-38    اصل مقاله (185.84 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2023.7344
نویسندگان
I. Ibedou* 1؛ S. E. Abbas2
1Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt
2Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt
چکیده
Since Pawlak defined the notion of rough sets in 1982, many authors made wide research studying rough sets in the ordinary case and the fuzzy case. This paper introduced a new style of rough fuzzy sets based on %arbitrary fuzzy relation $R$ and a fuzzy ideal $\ell$ on a universal finite set $X$. New lower and new upper fuzzy sets are introduced, and consequently, fuzzy interior and  fuzzy closure operators of a rough fuzzy set are discussed. These definitions, if $\ell$ is restricted to $\ell^{\circ} = \{\overline{0}\}$, imply the fuzzification of previous definitions given in the ordinary case, and moreover in the crisp case, we get exactly these previous definitions. The new style gives us a better accuracy value of roughness than the previous styles. Rough fuzzy connectedness is introduced as a sample of applications on the recent style of roughness.
کلیدواژه‌ها
Fuzzy approximation space؛ rough set؛ rough fuzzy set؛ rough fuzzy connectedness
مراجع
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