Best Lipschitz constant of the trapezoidal approximation operator preserving the expected interval
نویسنده
چکیده
In this paper, we prove new distance properties between a fuzzy number and its trapezoidal approximation preserving the expected interval. Then, we find the best Lipschitz constant of the trapezoidal approximation operator preserving the expected interval. Finally, we use this result in finding within a reasonable error the trapezoidal approximation of a fuzzy number preserving the expected interval in the case when the direct formula leads to complex calculations. © 2010 Elsevier B.V. All rights reserved.
منابع مشابه
Lipschitz functions and fuzzy number approximations
We prove that some important properties of convex subsets of vector topological spaces remain valid in the space of fuzzy numbers endowed with the Euclidean distance. We use these results to obtain a characterization of fuzzy number-valued Lipschitz functions. This fact helps us to find the best Lipschitz constant of the trapezoidal approximation operator preserving the value and ambiguity intr...
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ورودعنوان ژورنال:
- Fuzzy Sets and Systems
دوره 165 شماره
صفحات -
تاریخ انتشار 2011