Bode plots have proved to be an invaluable system analysis and design tool. Bode plot construction rules have been developedfor rationalfunctions in s = o fjw, where s is restricted to lie on the imaginary axis as s = jw. However, there are just as many analysis and design problems requiring s to li
Inserting L-fuzzy Real-valued Functions
✍ Scribed by Wesley Kotzé; Tomasz Kubiak
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 441 KB
- Volume
- 164
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
A new proof of the Katêtov‐Tong Insertion Theorem for L‐fuzzy topological spaces is given. All the proofs are performed in such a way that the presented results hold true in the more general case in which L‐fuzzy topologies are replaced by σ‐additive rings of L‐fuzzy subsets.
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Let S iind Y be non-empty sets. The notion of a function from S into Y has been generalized in the natural way to a multivaluecl mup as a function from X into the fiimily of all non-empty subsets of Y . I n the same degree is naturnl the second step of generalization which leiids to a fuzzy set-valu
We consider the problem of learning real-valued functions from random examples when the function values are corrupted with noise. With mild conditions on independent observation noise, we provide characterizations of the learnability of a real-valued function class in terms of a generalization of th