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Generating methods for principal topologies on bounded lattices. (English) Zbl 07478636

Summary: In this paper, some generating methods for principal topology are introduced by means of some logical operators such as uninorms and triangular norms and their properties are investigated. Defining a pre-order obtained from the closure operator, the properties of the pre-order are studied.

MSC:

03E72 Theory of fuzzy sets, etc.
03B52 Fuzzy logic; logic of vagueness
08A72 Fuzzy algebraic structures
54A10 Several topologies on one set (change of topology, comparison of topologies, lattices of topologies)
06B30 Topological lattices
06F30 Ordered topological structures
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