A Review of Developments in Fuzzy System Models: Fuzzy Rule Bases To Fuzzy Functions

Abstract

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 Hoppner and Klawonn (2003) [5]. Thirdly, we review "Fuzzy Functions", proposed by Turksen (2008) [6] and further developed by Celikyilmaz and Turksen (2008-2009) [7-9] in a variety of versions. An experimental assessment of various models are discussed in this writing. (C) 2011 Sharif University of Technology. Production and hosting by Elsevier B.V. All rights reserved.