Title :
Complex-exponential fuzzy logic systems
Author :
Mouzouris, George C. ; Mendel, Jerry M.
Author_Institution :
Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
Abstract :
By mapping information used by a fuzzy logic system (FLS) from Euclidean to Riemann space, we are able to obtain a formulation of the FLS on the complex plane, and thus exploit the properties of vector manipulations. This enables us to express an FLS in a complex-exponential summation form, and derive an expression for the recall error, using concepts from n-dimensional geometry. We also examine the performance of the complex-valued FLS in a system identification example, and compare it with that of an equivalent real-valued FLS
Keywords :
error analysis; fuzzy logic; fuzzy systems; identification; vectors; Euclidean space; Riemann space; complex plane; complex-exponential fuzzy logic systems; complex-exponential summation form; n-dimensional geometry; performance; real-valued fuzzy logic system; recall error; system identification; vector manipulations; Associative memory; Fuzzy logic; Fuzzy sets; Geometry; Image processing; Nonlinear systems; Out of order; Pattern analysis; Signal mapping; Signal processing;
Conference_Titel :
Fuzzy Systems, 1996., Proceedings of the Fifth IEEE International Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-3645-3
DOI :
10.1109/FUZZY.1996.552783
