This paper contains some general comments on the algebra of truth values of fuzzy sets of type 2. It details the precise mathematical relationship with the algebras of truth values of ordinary fuzzy sets and of interval-valued fuzzy sets. Subalgebras of the algebra of truth values and t-norms on the
Fuzzy closure systems on L—ordered sets
✍ Scribed by Lankun Guo; Guo-Qiang Zhang; Qingguo Li
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 135 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0044-3050
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✦ Synopsis
In this paper, notions of fuzzy closure system and fuzzy closure L-system on L-ordered sets are introduced from the fuzzy point of view. We first explore the fundamental properties of fuzzy closure systems. Then the correspondence between fuzzy closure systems (fuzzy closure L-systems) and fuzzy closure operators is established. Finally, we study the connections between fuzzy closure systems and fuzzy Galois connections.
📜 SIMILAR VOLUMES
I n several questions concerning connections between general topologies and BOOLEAN algebras systems regularly open or closed sets play an important role. The lattice-theoretical characterisations of these systems are known for general topological spaces. Problem 81 in [I] and the paper [ 2 ] deal w