کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6873730 | 1440689 | 2017 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Similarity of L-fuzzy Relations Based on L-topologies Induced by L-fuzzy Rough Approximation Operators
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Similarity of L-fuzzy Relations Based on L-topologies Induced by L-fuzzy Rough Approximation Operators Similarity of L-fuzzy Relations Based on L-topologies Induced by L-fuzzy Rough Approximation Operators](/preview/png/6873730.png)
چکیده انگلیسی
This paper proposes similarity of L-fuzzy relations based on L-topologies induced by L-fuzzy rough approximation operators. First, the notion L-fuzzy rough set is generalized and the relationship between generalized L-fuzzy rough sets and L-topologies on an arbitrary universe is investigated. It shows that Alexandrov L-topologies can be induced by L-fuzzy relations without any preconditions. Second, the concept of similarity of L-fuzzy relations is introduced and variations of an L-fuzzy relation are investigated. Third, algebraic structures on similarity of L-fuzzy relations are obtained. Finally, we prove that the subset of the transitive L-fuzzy relations similar to a fixed L-fuzzy relation is a complete distributive lattice.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Information and Engineering - Volume 9, Issue 1, March 2017, Pages 21-44
Journal: Fuzzy Information and Engineering - Volume 9, Issue 1, March 2017, Pages 21-44
نویسندگان
Prasenjit Mandal, A.S. Ranadive,