• Title/Summary/Keyword: stsc-quantales

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Fuzzy Relations and Metrics

  • Kim, Yong-Chan;Kim, Young-Sun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.9 no.1
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    • pp.30-35
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    • 2009
  • We investigate the properties of fuzzy relations, metrics and $\bigodot$-equivalence relation on a stsc quantale lattice L and a commutative cqm-lattice. In particular, pseudo-(quasi-) metrics induce $\bigodot$-(quasi)-equivalence relations.

Equivalence Relations

  • Kim, Yong-Chan;Kim, Young-Sun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.3
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    • pp.401-405
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    • 2008
  • We investigate the properties of fuzzy relations and $\odot$-equivalence relation on a stsc quantale lattice L and a commutative cqm-lattice. In particular, fuzzy relations preserve(*, \otimes$)-equivalence relations where $\otimes$ are compositions, $\Rightarrow$ and $\Leftarrow$.