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International Journal of General Systems Volume 42, 2013 - Issue 1: Fuzziness in Systems Modeling
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α-Cuts and models of fuzzy logic

Jiří Močkoř Institute for Research and Applications of Fuzzy Modelling, Centre of Excellence IT4Innovations Division of the University of Ostrava, 30.dubna 22, 701 03, Ostrava, Czech RepublicCorrespondence[email protected]
Pages 67-78 | Received 12 Jun 2012, Accepted 22 Jun 2012, Published online: 30 Jul 2012

References

  • Bělohlávek , R. 2002 . Fuzzy Relational Systems, Foundations and Principles , Dordrecht : Kluwer Academic Publishers .
  • Bělohlávek , R. and Vychodil , V. 2005 . Fuzzy Equational Logic , Berlin : Springer-Verlag .
  • Höhle , U. 1992 . “ M-Valued Sets and Sheaves Over Integral, Commutative Cl-Monoids ” . In Applications of Category Theory to Fuzzy Subsets , 33 – 72 . Dordrecht : Kluwer Academic Publishers .
  • MacLane , S. 1971 . Categories for the Working Mathematician , Berlin : Springer-Verlag .
  • Močkoř , J. 2006 . Covariant Functors in Categories of Fuzzy Sets Over Mv-Algebras . Advances in Fuzzy Sets and Systems , 1 ( 2 ) : 83 – 109 .
  • Močkoř , J. 2009 . Fuzzy Logic Models in a Category of Fuzzy Relations . Soft Computing , 13 : 591 – 596 .
  • Močkoř , J. 2010a . Cut Systems in Sets with Similarity Relations . Fuzzy Sets and Systems , 161 ( 24 ) : 3127 – 3140 .
  • Močkoř , J. 2010b . Constructions of Fuzzy Logic Models in Categories of Sets With Similarities . International Journal of General System , 39 : 217 – 233 .
  • Močkoř , J. 2012 . Fuzzy Sets and Cut Systems in a Category of Sets With Similarity Relations . Soft Computing , 16 : 101 – 107 .
  • Novák , V. , Perfilijeva , I. and Močkoř , J. 1999 . Mathematical Principles of Fuzzy Logic , Boston, MA : Kluwer Academic Publishers .

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