Special properties, closures and interiors of crisp and fuzzy relations
Fuzzy Sets and Systems
Abstract and concrete categories
Abstract and concrete categories
Fuzzy logic: mathematical tools for approximate reasoning
Fuzzy logic: mathematical tools for approximate reasoning
An enriched category approach to many valued topology
Fuzzy Sets and Systems
Fuzzy Sets and Systems
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The aim of this work is to introduce the concept of L-fuzzy interior systems and L-fuzzy interior operators. We start by establishing a connection between L-fuzzy interior systems and L-fuzzy interior operators. It is shown that an L-fuzzy interior system is precisely the fuzzy system in opposition to the crisp system, and an L-fuzzy interior operator is a suitable interior operator that has a close relation to an L-fuzzy interior system. It is also shown that there is a Galois correspondence between the category of L-fuzzy interior system spaces and that of L-fuzzy interior spaces.