The quest for the basic fuzzy logic
| Autor: | Carles Noguera, Petr Cintula, Rostislav Horčík |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
Non-associative substructural logics
Neuro-fuzzy Computer science 010102 general mathematics Computational logic T-norm Core semilinear logics 02 engineering and technology 01 natural sciences Fuzzy logic Standard completeness Algebra Fuzzy electronics Core fuzzy logics Mathematical fuzzy logic T-Norm Computer Science::Logic in Computer Science Basic fuzzy logic 0202 electrical engineering electronic engineering information engineering Dynamic logic (modal logic) 020201 artificial intelligence & image processing 0101 mathematics Combs method T-norm fuzzy logics |
| Zdroj: | Petr Hájek on Mathematical Fuzzy Logic ISBN: 9783319062327 |
| Popis: | The quest for basic fuzzy logic was initiated by Petr Hajek when he proposed his basic fuzzy logic BL, complete with respect to the semantics given by all continuous t-norms. Later weaker systems, such as MTL, UL or \(\mathrm{psMTL}^r\), complete with respect to broader (but still meaningful for fuzzy logics) semantics, have been introduced and disputed the throne of the basic fuzzy logic. We contribute to the quest with our own proposal of a basic fuzzy logic. Indeed, we put forth a very weak logic called \(\mathrm {SL}^\ell \), introduced and studied in earlier works of the authors, and propose it as a base of a new framework which allows to work in a uniform way with both propositional and first-order fuzzy logics. |
| Databáze: | OpenAIRE |
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