The Lattice of Fuzzy Intervals and Sufficient Conditions for its Distributivity
نویسنده
چکیده
Given a reference lattice (X,⊑), we define fuzzy intervals to be the fuzzy sets such that their pcuts are crisp closed intervals of (X,⊑). We show that: given a complete lattice (X,⊑) the collection of its fuzzy intervals is a complete lattice. Furthermore we show that: if (X,⊑) is completely distributive then the lattice of its fuzzy intervals is distributive.
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ورودعنوان ژورنال:
- CoRR
دوره cs.OH/0206025 شماره
صفحات -
تاریخ انتشار 2001