Title :
On Hilbert´s thirteenth problem for soft computing
Author :
Kreinovich, Vladik ; Nguyen, Hung T.
Author_Institution :
Dept. of Comput. Sci., Texas Univ., El Paso, TX, USA
Abstract :
We discuss aspects of computation and implementation in soft computing when applying arithmetic of interval analysis to fuzzy quantities. Evoking Kolmogorov´s solution (1957) to Hilbert´s thirteenth problem (on numerical computations, and whether functions of several variables can be represented as functions of fewer variables), we show that the situation is different in soft computing. As a result, we provide a rationale for implementing hardware supported functions of more than two variables
Keywords :
fuzzy set theory; Hilbert´s thirteenth problem; fuzzy quantities; interval analysis; numerical computations; soft computing; Arithmetic; Equations; Fuzzy logic; Fuzzy sets; Fuzzy systems; Hardware; Knowledge engineering; Lattices; NASA; Systems engineering and theory;
Conference_Titel :
Fuzzy Systems, 1995. International Joint Conference of the Fourth IEEE International Conference on Fuzzy Systems and The Second International Fuzzy Engineering Symposium., Proceedings of 1995 IEEE Int
Conference_Location :
Yokohama
Print_ISBN :
0-7803-2461-7
DOI :
10.1109/FUZZY.1995.409966
