Representation theorems for fuzzy orders and quasi-metrics

نویسنده

  • Giangiacomo Gerla
چکیده

Let L be a complete residuated lattice. Then we show that any L-preorder can be represented both by an implication-based graded inclusion as defined [1] and by a similarity-based graded inclusion as defined in [2]. Also, in accordance with a duality between [0,1]-orders and quasi-metrics, we obtain two corresponding representation theorems for quasi-metrics.

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عنوان ژورنال:
  • Soft Comput.

دوره 8  شماره 

صفحات  -

تاریخ انتشار 2004