The embedding of an ordered groupoid into a poe-groupoid in terms of fuzzy sets
Information Sciences: an International Journal
Localic sup-lattices and tropological systems
Theoretical Computer Science - Topology in computer science
An enriched category approach to many valued topology
Fuzzy Sets and Systems
Transporting many-valued sets along many-valued relations
Fuzzy Sets and Systems
Uniform environments as a general framework for metrics and uniformities
Fuzzy Sets and Systems
Fuzzy radicals and prime fuzzy ideals of ordered semigroups
Information Sciences: an International Journal
Fuzzy sets and geometric logic
Fuzzy Sets and Systems
Implication structures, fuzzy subsets, and enriched categories
Fuzzy Sets and Systems
From quantale algebroids to topological spaces: Fixed- and variable-basis approaches
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Categorical approaches to non-commutative fuzzy logic
Fuzzy Sets and Systems
Hypergraph functor and attachment
Fuzzy Sets and Systems
Regular ordered semigroups in terms of fuzzy subsets
Information Sciences: an International Journal
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In this paper, we introduce the concept of a Q-fuzzy subset of an ordered semigroup where a quantale Q replaces the unit interval. We define a binary operation on the fuzzy power set that makes it a quantale. In order to discuss the relation between the referential set and the fuzzy power set, the notion of an ordered Q-fuzzy point of an ordered semigroup is introduced. In terms of ordered Q-fuzzy points, we prove that any ordered semigroup can be embedded into a quantale, and also build a functor between the category of ordered semigroups and the category of quantales.