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  • The class of functions which can be represented by formulas of a standard BL-algebra whose basic operation is a t-norm is fully characterized. We prove that the class of functions which are represented by such formulas coincides with the class of extensional functions. Moreover, the class of these functions coincides with the class of Lipschitz continuous functions in the case of BL-algebra whose t-norm has a continuous additive generator.
  • The class of functions which can be represented by formulas of a standard BL-algebra whose basic operation is a t-norm is fully characterized. We prove that the class of functions which are represented by such formulas coincides with the class of extensional functions. Moreover, the class of these functions coincides with the class of Lipschitz continuous functions in the case of BL-algebra whose t-norm has a continuous additive generator. (en)
Title
  • Lipschitz Continuity and Extensionality of Functions Represented by BL-algebra Formulas
  • Lipschitz Continuity and Extensionality of Functions Represented by BL-algebra Formulas (en)
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  • Lipschitz Continuity and Extensionality of Functions Represented by BL-algebra Formulas
  • Lipschitz Continuity and Extensionality of Functions Represented by BL-algebra Formulas (en)
skos:notation
  • RIV/61988987:17610/04:A1000CEW!RIV10-MSM-17610___
http://linked.open...avai/riv/aktivita
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  • P(IAA1187301), Z(MSM 179000002)
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  • 571624
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  • RIV/61988987:17610/04:A1000CEW
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  • BL-algebra; extensional function; disjunctive and conjunctive normal forms; Lipschitz condition (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [87DDD90FD44F]
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  • Perugia, Italy
http://linked.open...i/riv/mistoVydani
  • Perugia
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  • Proceedings of IPMU 2004 (Information Processing and Management)
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  • Perfilieva, Irina
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http://linked.open...n/vavai/riv/zamer
number of pages
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  • Editrice Universita La Sapienza, Italy
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  • 88-87242-54-2
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  • 17610
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