There are two main fuzzy system methodologies for translating expert rules into a logical formula: In Mamdani's methodology, we get a DNF formula (disjunction of conjunctions), and in a methodology which uses logical implications, we get, in effect, a CNF formula (conjunction of disjunctions). For b
Universal approximation theorem for uninorm-based fuzzy systems modeling
β Scribed by Ronald R. Yager; Vladik Kreinovich
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 227 KB
- Volume
- 140
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
Most existing universal approximation results for fuzzy systems are based on the assumption that we use t-norms and t-conorms to represent "and" and "or." Yager has proposed to use, within the fuzzy systems modeling paradigm, more general operations based on uninorms. In this paper, we show that the universal approximation property holds for an arbitrary choice of a uninorm.
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