This note concerns rate independent operators R : Lip(0, T ) -โ BV (0, T ) โฉ C(0, T ) that are continuous with respect to the strict metric of BV . In a recent paper we proved that R can be continuously extended to all of BV (0, T ) provided it is locally isotone, a slightly weaker condition than th
โฆ LIBER โฆ
Conditionally isotone interval operators
โ Scribed by R. Krawczyk
- Publisher
- Springer Vienna
- Year
- 1987
- Tongue
- English
- Weight
- 397 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0010-485X
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๐ 2 views
In working with negations and t-norms, it is not uncommon to call upon the arithmetic of the real numbers even though that is not part of the structure of the unit interval as a bounded lattice. To develop a self-contained system, we incorporate an averaging ลฝ . operator, which provides a continuous