Path: Top -> Journal -> Jurnal Internasional -> Fuzzy Information and Engineering -> 2017 -> Volume 9, Issue 1, March
Similarity of L-fuzzy Relations Based on L-topologies Induced by L-fuzzy Rough Approximation Operators
Oleh : Prasenjit Mandal, A.S. Ranadive, Fuzzy Information and Engineering
Dibuat : 2017-03-21, dengan 1 file
Keyword : L-fuzzy relationSimilarityL-topologyGeneralized L-fuzzy rough setGeneralized residuated lattice
Url : http://www.sciencedirect.com/science/article/pii/S1616865817300730
Sumber pengambilan dokumen : web
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.
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