Convergence of fuzzy sets with respect to the supremum metric
نویسندگان
چکیده
We characterize the convergence of fuzzy sets in the supremum metric given by the supremum of the Hausdorff distances of the α-cuts of the fuzzy sets. We do it by dividing this metric into its lower and upper quasipseudometric parts. This characterization is given in the more general context with no assumption on the fuzzy sets. Furthermore, motivated from the theory of Convex Analysis, we also provide some results about the behaviour of the convergence in the supremum metric with respect to maximizers. 2010 Mathematics Subject Classification: 54A40, 54A20, 54B20, 54E35
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ورودعنوان ژورنال:
- Fuzzy Sets and Systems
دوره 245 شماره
صفحات -
تاریخ انتشار 2014