Universal approximation theorem for uninorm-based fuzzy systems modeling
نویسندگان
چکیده
منابع مشابه
Universal approximation theorem for uninorm-based fuzzy systems modeling
Most existing universal approximation results for fuzzy systems are based on the assumption that we use t conorms and t conorms to represent and and or Yager has proposed to use within the fuzzy system 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
متن کاملUniversal Approximation Theorem forUninorm - Based Fuzzy Systems
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.
متن کاملUniversal Approximation of Interval-valued Fuzzy Systems Based on Interval-valued Implications
It is firstly proved that the multi-input-single-output (MISO) fuzzy systems based on interval-valued $R$- and $S$-implications can approximate any continuous function defined on a compact set to arbitrary accuracy. A formula to compute the lower upper bounds on the number of interval-valued fuzzy sets needed to achieve a pre-specified approximation accuracy for an arbitrary multivariate con...
متن کاملuniversal approximation of interval-valued fuzzy systems based on interval-valued implications
it is firstly proved that the multi-input-single-output (miso) fuzzy systems based on interval-valued $r$- and $s$-implications can approximate any continuous function defined on a compact set to arbitrary accuracy. a formula to compute the lower upper bounds on the number of interval-valued fuzzy sets needed to achieve a pre-specified approximation accuracy for an arbitrary multivariate con...
متن کاملSimilarity Based Reasoning Fuzzy Systems and Universal Approximation
In this work, we show that fuzzy inference systems based on Similarity Based Reasoning (SBR) where the modification function is a fuzzy implication is a universal approximator under suitable conditions on the other components of the fuzzy system.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fuzzy Sets and Systems
سال: 2003
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(02)00521-3