A review of developments in fuzzy system models: Fuzzy rule bases to fuzzy functions

In a historical context, we first review the development of fuzzy system models from “Fuzzy Rule Bases” proposed by Zadeh (1975) [1], with versions of Sugeno–Yasukawa (1993) [2] and Tagaki–Sugeno (1985) [3]. Secondly, we review the development of the “Fuzzy C-Regression Model” (FCRM), proposed by Hathaway and Bezdek (1993) [4], as well as “Combined FCM, and FCRM Algorithms, proposed by Höppner and Klawonn (2003) [5]. Thirdly, we review “Fuzzy Functions”, proposed by Türkşen (2008) [6] and further developed by Celikyilmaz and Türkşen (2008–2009) [7], [8] and [9] in a variety of versions. An experimental assessment of various models are discussed in this writing.