Počet záznamů: 1
A Note on Axiomatizations of Pavelka-style Complete Fuzzy Logics
- 1.
SYSNO ASEP 0436177 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název A Note on Axiomatizations of Pavelka-style Complete Fuzzy Logics Tvůrce(i) Cintula, Petr (UIVT-O) RID, ORCID, SAI Zdroj.dok. Fuzzy Sets and Systems. - : Elsevier - ISSN 0165-0114
Roč. 292, 1 June (2016), s. 160-174Poč.str. 15 s. Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova mathematical fuzzy logic ; Pavelka-style completeness ; MTL logic ; Lukasiewicz logics ; Product Logic ; truth constants ; Monteiro–Baaz delta Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GAP202/10/1826 GA ČR - Grantová agentura ČR Institucionální podpora UIVT-O - RVO:67985807 UT WOS 000371786900010 EID SCOPUS 84919459308 DOI 10.1016/j.fss.2014.11.021 Anotace Pavelka-style completeness, a property relating degrees of provability and truth, was previously studied mainly in the context of logics with continuous connectives. It is known that in some other logics one can use infinitary deduction rule(s) to retain this form of completeness. The present paper offers a systematic study of this idea for fuzzy logics which expand MTL and are given by a fixed standard algebra. We explore the structure of the class of all ’reasonable’ expansions of any such logic by rational truth constants and, for several prominent cases, provide axiomatizations of particular expansions enjoying the Pavelka-style completeness. Pracoviště Ústav informatiky Kontakt Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Rok sběru 2016
Počet záznamů: 1