Document Zbl 1538.06006

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Generating methods for principal topologies on bounded lattices. (English) Zbl 1538.06006

Kybernetika 57, No. 4, 714-736 (2021).

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.

Cited in 1 Document

MSC:

06B30	Topological lattices
54A10	Several topologies on one set (change of topology, comparison of topologies, lattices of topologies)
54A40	Fuzzy topology

Keywords:

principal topology; bounded lattice; generating method; uninorm; triangular norm

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