论文信息 - Extended Triangular Norms on Gaussian Fuzzy Sets

Extended Triangular Norms on Gaussian Fuzzy Sets

So far, computational complextity of the general formula for the extended t-norm does not allow to construct fuzzy logic systems of type-2 other than interval type. In this paper, we derive new formulae for extended t-norms for arguments with Gaussian and piecewise-Gaussian membership functions basing on our original theorems.

Janusz T. Starczewski

[1] Elbert A. Walker,et al. The algebra of fuzzy truth values , 2005, Fuzzy Sets Syst..

[2] Hung T. Nguyen,et al. A note on the extension principle for fuzzy sets , 1978 .

[3] Jerry M. Mendel,et al. Operations on type-2 fuzzy sets , 2001, Fuzzy Sets Syst..

[4] Robert Ivor John,et al. A new and efficient method for the type-2 meet operation , 2004, 2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542).

[5] H. Carter. Fuzzy Sets and Systems — Theory and Applications , 1982 .

[6] Janusz T. Starczewski. What Differs Interval Type-2 FLS from Type-1 FLS? , 2004, ICAISC.

[7] J. Mendel. Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions , 2001 .

[8] Radko Mesiar,et al. Triangular-norm-based addition of fuzzy intervals , 1997, Fuzzy Sets Syst..