Journal:
:iranian journal of fuzzy systems
0
dechao li
school of mathematics, physics and information science, zhejiang ocean
university, zhoushan, zhejiang, 316022, china and key laboratory of oceanographic big data mining and application of zhejiang province, zhoushan, zhejiang, 316022,
china yongjian xie
college of mathematics and information science, shaanxi normal
university, xi'an, 710062, china
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...