Title: Fuzzy functions

Authors: I. Burhan Turksen

Addresses: Sakarya U., Azerbaycan Government U., Department of Industrial Engineering, TOBB-Economics and Technology University, Sogutozu Cad. No: 43, Sogutozu 06560, Ankara, Turkey; Department of Mechanical & Industrial Engineering, University of Toronto, Toronto, Ontario, M5S 3G8, Canada

Abstract: We first review the development of fuzzy system models from |fuzzy rule bases| proposed by Zadeh (1965, 1975) to |fuzzy functions| proposed by Turksen (2008) and further developed by Celikyilmaz and Turksen (2008a; 2008b; 2008c; 2009a; 2009b) in a variety of versions. Next, we also review a complementary development of |fuzzy C-regression model| (FCRM) proposed by Hathaway and Bezdek (1993), as well as a |combined FCM and FCRM algorithms| proposed by Höppner and Klawonn (2003). Finally, various experimental assessments of such fuzzy function models are presented.

Keywords: fuzzy rule bases; fuzzy functions; fuzzy system models; fuzzy C-regression model; FCRM; modelling.

DOI: 10.1504/IJGCRSIS.2010.036982

International Journal of Granular Computing, Rough Sets and Intelligent Systems, 2010 Vol.1 No.4, pp.407 - 420

Available online: 20 Nov 2010 *

Full-text access for editors Access for subscribers Purchase this article Comment on this article