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  • In this paper we investigate the System of fuzzy relation equations with inf-residuation composition. We base on the knowledge of the system of fuzzy relation equations with sup-t-norm composition. First, the general notions are explained and then are shown the least and maximal solutions. Finally is investigated a simple criterion of solvability for a special case of fuzzy sets.
  • In this paper we investigate the System of fuzzy relation equations with inf-residuation composition. We base on the knowledge of the system of fuzzy relation equations with sup-t-norm composition. First, the general notions are explained and then are shown the least and maximal solutions. Finally is investigated a simple criterion of solvability for a special case of fuzzy sets. (en)
  • V tomto článku zkoumám Systém rovnic s neznámou fuzzy relací a s kompozicí tvořenou infimem a operaci reziduum. Podkladem jsou znalosti vlastnosti systému rovnic s fuzzy relací spojených kompozici tvořenou supremem a t-normou. Nejprve jsou vysvětleny základní pojmy a potom je ukázáno nejmenší a maximální řešení. Nakonec je prozkoumáno jednoduché kritérium řešitelnosti pro speciální případ rovnic. (cs)
Title
  • Fuzzy relation equations with dual composition
  • Fuzzy relation equations with dual composition (en)
  • Rovnice s fuzzy relaci a duální kompozici (cs)
skos:prefLabel
  • Fuzzy relation equations with dual composition
  • Fuzzy relation equations with dual composition (en)
  • Rovnice s fuzzy relaci a duální kompozici (cs)
skos:notation
  • RIV/61988987:17610/05:00000172!RIV07-MSM-17610___
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  • system of fuzzy relation equations; sup-t-norm composition; inf-residuation composition; solvability of fuzzy relation equation system; maximal solution (en)
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