A new type of approximation for fuzzy intervals

Fuzzy Sets and Systems

Volumn 159, Issue 11, 2008, Pages 1376-1383

  Chalco Cano, Y ^a   Roman Flores H ^a   Gomide, Fernando ^b  

^a UNIVERSIDAD DE TARAPACÁ   (Chile)

^b UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

Approximation; Convolution of fuzzy sets; Differentiable fuzzy intervals; Fuzzy intervals

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL METHODS; NUMERICAL ANALYSIS;

CONVOLUTION OF FUZZY SETS; FUZZY INTERVALS;

FUZZY SETS;

EID: 41549123278     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2007.12.025     Document Type: Article

References (9)

1. Castellano G., Fanelli A.M., and Mencar C. An empirical risk functional to improve learning in a fuzzy-neuro classifier. IEEE Trans. Systems Man Cybernet. 34 (2004) 725-731
2. Dombi J., and Gera Z. The approximation of piecewise linear membership functions and Lukasiewicz operators. Fuzzy Sets and Systems 154 (2005) 275-286
3. Dubois D., and Prade H. Fundamentals of Fuzzy Sets, The Handbooks of Fuzzy Sets Series Vol. 7 (2000), Kluwer Academic Publishers, London
4. Grauel A., and Ludwig L.A. Construction of differentiable membership functions. Fuzzy Sets and Systems 101 (1999) 219-225
5. Grzegorzewski P., and Mrówka E. Trapezoidal approximation of fuzzy numbers. Fuzzy Sets and Systems 153 (2005) 115-135
6. Guimarães F.G., Campelo F., Saldanha R.R., and Ramírez J.A. A hybrid methodology for fuzzy optimization of electromagnetic devices. IEEE Trans. Magnetics 41 (2005) 1744-1747
7. Kosiński W. On fuzzy number calculus. Internat. J. Appl. Math. Comput. Sci. 16 (2006) 51-57
8. Rockafellar T. Convex Analysis (1970), Princeton University Press, Princeton, NY
9. Román-Flores H., Chalco-Cano Y., and Rojas- Medar M.A. Convolution of fuzzy sets and applications. Comput. Math. Appl. 46 (2003) 1245-1251