On two categories of many valued relations

Dikran N. Dikranjan, Alexander Šostak · Advances in intelligent systems research/Advances in Intelligent Systems Research · 2015

The purpose of these notes is to introduce the concept of a many-valued relation and to study two, in a certain sense dual, categories of such relations.Besides, we apply the concept of a manyvalued relation to the description of different approaches, both fixed-based and variable-based, to Fuzzy Topology and characterize categories related to Fuzzy Topology, in the framework of the corresponding categories of many-valued relations.

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