Many-valued aspects of tense and related operators

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Authors	BOTUR Michal PASEKA Jan SMOLKA Richard
Year of publication	2025
Type	Article in Periodical
Magazine / Source	Fuzzy Sets and Systems
MU Faculty or unit	Faculty of Science
Citation
web	https://doi.org/10.1016/j.fss.2025.109509
Doi	http://dx.doi.org/10.1016/j.fss.2025.109509
Keywords	Quantale; Quantale module; Fuzzy set; Fuzzy logic; Fuzzy relation; Tense operator; Tense fuzzy algebra; Adjoint situation
Description	Our research builds upon Halmos's foundational work on functional monadic Boolean algebras and our previous work on tense operators to develop three essential constructions, including the important concepts of fuzzy sets and powerset operators. These constructions have widespread applications across contemporary mathematical disciplines, including algebra, logic, and topology. The framework we present generates four covariant and two contravariant functors, establishing three adjoint situations.
Related projects:	Specifický výzkum v odborné, aplikované a učitelské matematice 2024 Orthogonality and symmetry