Many-valued aspects of tense and related operators
| Autoři | |
|---|---|
| Rok publikování | 2025 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Fuzzy Sets and Systems |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | https://doi.org/10.1016/j.fss.2025.109509 |
| Doi | http://dx.doi.org/10.1016/j.fss.2025.109509 |
| Klíčová slova | Quantale; Quantale module; Fuzzy set; Fuzzy logic; Fuzzy relation; Tense operator; Tense fuzzy algebra; Adjoint situation |
| Popis | 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. |
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