@misc{Kacprzyk_Janusz_(1947–_)_Fuzzy_2013, author={Kacprzyk, Janusz (1947– )}, copyright={Creative Commons Attribution BY 4.0 license}, address={Warszawa}, journal={Raport Badawczy = Research Report}, howpublished={online}, year={2013}, publisher={Instytut Badań Systemowych. Polska Akademia Nauk}, publisher={Systems Research Institute. Polish Academy of Sciences}, language={eng}, abstract={We consider multistage optimal control of a fuzzy dynamic system under fuzzy constraints on controls and fuzzy goals on states in the setting of Bellman and Zadeh (1970) and Kacprzyk (1983, 1997). First, we present the solution by dynamic programming which is a standard techniques in the class of problems considered. We indicate its limitations, mainly related to its inherent curse of dimensionality. We propose to replace the source problem by its auxiliary counterpart with a small number of reference fuzzy states and reference fuzzy controls, solve it by dynamic programming to obtain optimal reference control policies relating optimal reference fuzzy controls to reference fuzzy states. Then, we show the use of an interpolative reasoning approach to derive optimal fuzzy controls, not necessarily reference ones, for current fuzzy states, not necessarily reference ones.}, title={Fuzzy dynamic programming: interpolative reasoning for an efficient derivation of optimal control policies}, type={Text}, URL={http://rcin.org.pl/Content/217475/PDF/RB-2013-72.pdf}, }