On Arithmetic in the Cantor-Lukasiewicz Fuzzy Set Theory

Hájek, Petr
On Arithmetic in the Cantor-Lukasiewicz Fuzzy Set Theory.
Archive for Mathematical Logic. Roč. 44, č. 6 (2005), s. 763-782. ISSN 0933-5846. E-ISSN 1432-0665
Impakt faktor: 0.523, rok: 2003
http://hdl.handle.net/11104/0125697

Citováno: 14

--- GOTTWALD, S. Foundations of a set theory for fuzzy sets. 40 years of development. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS. ISSN 0308-1079, 2008, vol. 37, no. 1, p. 69-81. [WOS]
--- YATABE, S. Distinguishing non-standard natural numbers in a set theory within Luukasiewicz logic. ARCHIVE FOR MATHEMATICAL LOGIC. ISSN 1432-0665, APR 2007, vol. 46, no. 3-4, p. 281-287. [WOS]
--- GOTTWALD, S. Mathematical fuzzy logics. BULLETIN OF SYMBOLIC LOGIC. ISSN 1079-8986, JUN 2008, vol. 14, no. 2, p. 210-239. [WOS]
--- GOTTWALD, S. Mathematical fuzzy logic: An invitation to interesting research areas. FUNDAMENTA INFORMATICAE. ISSN 0169-2968, 2007, vol. 81, no. 1-3, p. 123-137. [WOS]
--- YATABE, S. Comprehension contradicts to the induction within Lukasiewicz predicate logic. ARCHIVE FOR MATHEMATICAL LOGIC. ISSN 1432-0665, MAY 2009, vol. 48, no. 3-4, p. 265-268. [WOS]
--- GOTTWALD, S. Fuzzy set theory - 40 years of foundational discussions. COMPUTATIONAL INTELLIGENCE, THEORY AND APPLICATION. ISSN 1615-3871, 2006, p. 653-665. [WOS]
--- GOTTWALD, S. Toward problems for mathematical fuzzy logic. 2006 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-5. ISSN 1544-5615, 2006, p. 1649-1654. [WOS]
--- Di Nola, A. - Georgescu, G. - Spada, L. Forcing in Lukasiewicz Predicate Logic. Studia Logica (2008) 89: 111-145
--- OGAARD, T.F. Paths to Triviality. JOURNAL OF PHILOSOPHICAL LOGIC. ISSN 0022-3611, JUN 2016, vol. 45, no. 3, p. 237-276. [WOS]
--- ESTEVA, F. - GODO, L. - GOTTWALD, S. - MONTAGNA, F. Petr Hajek on Mathematical Fuzzy Logic Introduction. PETR HAJEK ON MATHEMATICAL FUZZY LOGIC. ISSN 2211-2766, 2015, vol. 6, p. 3-20. [WOS]
--- GOTTWALD, S. The Logic of Fuzzy Set Theory: A Historical Approach. PETR HAJEK ON MATHEMATICAL FUZZY LOGIC. ISSN 2211-2766, 2015, vol. 6, p. 41-61. [WOS]
--- BEHOUNEK, L. - HANIKOVA, Z. Set Theory and Arithmetic in Fuzzy Logic. PETR HAJEK ON MATHEMATICAL FUZZY LOGIC. ISSN 2211-2766, 2015, vol. 6, p. 63-89. [WOS]
--- YATABE, S. On the crispness of omega and arithmetic with a bisimulation in a constructive naive set theory. LOGIC JOURNAL OF THE IGPL. ISSN 1367-0751, JUN 2014, vol. 22, no. 3, SI, p. 482-493. [WOS]
--- MARES, E. - PAOLI, F. Logical Consequence and the Paradoxes. JOURNAL OF PHILOSOPHICAL LOGIC. ISSN 0022-3611, JUN 2014, vol. 43, no. 2-3, p. 439-469. [WOS]