تعداد نشریات | 25 |
تعداد شمارهها | 475 |
تعداد مقالات | 4,927 |
تعداد مشاهده مقاله | 7,249,947 |
تعداد دریافت فایل اصل مقاله | 4,879,410 |
Rough approximation operators based on quantale-valued fuzzy generalized neighborhood systems | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 6، دوره 16، شماره 6، بهمن و اسفند 2019، صفحه 53-63 اصل مقاله (208.71 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2019.5019 | ||
نویسندگان | ||
F. F. Zhao* 1؛ L. Q. Li1؛ S. B. Sun2؛ Q. Jin1 | ||
1Department of Mathematics, Liaocheng University, Liaocheng, P.R.China | ||
2School of Computer Science and Technology, Liaocheng University, Liaocheng, P.R.China | ||
چکیده | ||
Let $L$ be an integral and commutative quantale. In this paper, by fuzzifying the notion of generalized neighborhood systems, the notion of $L$-fuzzy generalized neighborhood system is introduced and then a pair of lower and upper approximation operators based on it are defined and discussed. It is proved that these approximation operators include generalized neighborhood system-based approximation operators, $L$-fuzzy relation-based approximation operators and $L$-fuzzy covering-based approximation operators as their special circumstances. Therefore, the research on $L$-fuzzy generalized neighborhood system-based approximation operators has more general significance. In addition, when the $L$-fuzzy generalized neighborhood system is serial, reflexive, unary and transitive, then the corresponding approximation operators are discussed and characterized, respectively. | ||
کلیدواژهها | ||
Fuzzy rough set؛ fuzzy topology؛ $L$-fuzzy generalized neighborhood system؛ quantale | ||
آمار تعداد مشاهده مقاله: 399 تعداد دریافت فایل اصل مقاله: 245 |