Which Fuzzy Logic Satisfy the Compactness Problem?

0404644 - UIVT-O 20020050 RIV FR eng C - Conference Paper (international conference)
Cintula, Petr - Navara, M.
Which Fuzzy Logic Satisfy the Compactness Problem?
Information Processing and Management Uncertainty in Knowledge-based Systems. Savoie: ESIA, 2002, s. 405-409. ISBN 2-9516453-1-7.
[IPMU '2002 /9./. Annecy (FR), 01.07.2002-05.07.2002]
R&D Projects: GA AV ČR IAA1030004; GA ČR GA201/02/1540
Institutional research plan: AV0Z1030915
Keywords : many-valued logic * fuzzy logic * triangular norm * satisfiability * compactness of a logic
Subject RIV: BA - General Mathematics

Compactness in an important property of a classical logic. It states that simultaneous satisfiability of an infinite set of formulas is equivalent to the satisfiablity of all its subsets. In fuzzy logics, we have different degrees of satisfiability, hence the questions of compactness become more complicated. Here we give an overview of recent results on compactness of various fuzzy logics.
Permanent Link: http://hdl.handle.net/11104/0124885