Title :
Applications of fuzzy average to curve and surface fitting
Author :
Gao, Lun Shan ; Kawarada, Hideo
Author_Institution :
Graduate Sch. of Sci. & Technol., Chiba Univ., Japan
Abstract :
In this paper, a new concept of the fuzzy average is proposed, and a method (fuzzy optimization method, FOM) to fit curves and surfaces by means of the fuzzy average is investigated. The relation between the fuzzy average and the corresponding arithmetic mean is shown. Moreover, it is shown that the FOM is also suited for parallel processing, because the modification of elements of an approximate vector is calculated separately. Finally, some numerical experiments by using the FOM and other methods are presented, respectively
Keywords :
curve fitting; fuzzy set theory; optimisation; surface fitting; approximate vector; arithmetic mean; curve fitting; fuzzy average; fuzzy optimization method; parallel processing; surface fitting; Approximation methods; Concurrent computing; Curve fitting; Fuzzy sets; Interpolation; Optimization methods; Spline; Surface fitting;
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.1995.409799
