On the syntactico-semantical completeness of first-order fuzzy logic. II. Main results

Vilém Novák

Kybernetika (1990)

  • Volume: 26, Issue: 2, page 134-154
  • ISSN: 0023-5954

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Novák, Vilém. "On the syntactico-semantical completeness of first-order fuzzy logic. II. Main results." Kybernetika 26.2 (1990): 134-154. <http://eudml.org/doc/27843>.

@article{Novák1990,
author = {Novák, Vilém},
journal = {Kybernetika},
keywords = {fuzzy elementary theory; fuzzy set of nonlogical axioms; proof; logical consequence},
language = {eng},
number = {2},
pages = {134-154},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On the syntactico-semantical completeness of first-order fuzzy logic. II. Main results},
url = {http://eudml.org/doc/27843},
volume = {26},
year = {1990},
}

TY - JOUR
AU - Novák, Vilém
TI - On the syntactico-semantical completeness of first-order fuzzy logic. II. Main results
JO - Kybernetika
PY - 1990
PB - Institute of Information Theory and Automation AS CR
VL - 26
IS - 2
SP - 134
EP - 154
LA - eng
KW - fuzzy elementary theory; fuzzy set of nonlogical axioms; proof; logical consequence
UR - http://eudml.org/doc/27843
ER -

References

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  1. J. F. Baldwin, Fuzzy logic and fuzzy reasoning, Internat. J. Man-Mach. Stud. 11 (1979), 465-480. (1979) Zbl0418.03014MR0542593
  2. C C. Chang, H. J. Keisler, Continuous Model Theory, Princeton University Press, Princeton 1966. (1966) Zbl0149.00402MR0231708
  3. C C Chang, H. J. Keisler, Model Theory, North-Holland, Amsterdam 1973. (1973) Zbl0276.02032
  4. B. R. Gainess, Foundations of fuzzy reasoning, Internat. J. Man-Mach. Stud. 8 (1976), 623-668. (1976) MR0574083
  5. J. A. Goguen, The logic of inexact concepts, Synthese 19 (1968-69), 325-373. (1968) 
  6. E. Mendelson, Introduction to Mathematical Logic, Van Nostrand, New York 1964. (1964) MR0164867
  7. V. Novák, Fuzzy Sets and Their Applications, Adam Hilger, Bristol 1989. (1989) MR1019090
  8. V. Novák, W. Pedrycz, Fuzzy sets and t-norms in the light of fuzzy logic, Internat. J. Man-Mach. Stud. 29 (1988), 113-127. (1988) 
  9. V. Novák, On the syntactico-semantical completeness of first-order fuzzy logic, Part I: Syntax and semantics. Kybernetika 26 (1990), 1, 47-66. (1990) MR1042231
  10. J. Pavelka, On fuzzy logic I, II, III, Z. Math. Logik Grandlag. Math. 25 (1979), 45-52; 119-134; 447-464. (1979) MR0524558
  11. H. Raisowa, R. Sikorski, The Mathematics of Meta-mathematics, PWN, Warszawa 1963. (1963) 
  12. J. R. Shoenfield, Mathematical Logic, Addison - Wesley, New York 1967. (1967) Zbl0155.01102MR0225631

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