Int. J. of Granular Computing, Rough Sets and Intelligent Systems   »   2010 Vol.1, No.4



Title: Fuzzy functions


Author: I. Burhan Turksen


Address: 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


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


Available online: 20 Nov 2010



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