Title :
Realization of Fuzzy Forms
Author_Institution :
the Department of Microprocessor Software, NCR Communication Systems Division
Abstract :
Fuzzy systems are multivalued logic with a continuum of truth values in [ 0,1]. If the truth values inthe interval [ 0,11 are quantized, the operations max (+) and min (*) can be physically realized. Precisely, if [ 0,1] is quantized into 2m equal intervals then the operation max (+) with n arguments can be realized by n rows of one-dimensional unilateral array, each having ( m + 1) cells. The cells in the array are combinational. The min (*) operation is realized by changing the boundary conditions to the array. Fuzzy forms are expressions of fuzzy variables using max (+) and min (*). These fuzzy forms are realized using the max (+) and min (*) gates.
Keywords :
Fuzzy form, iterative array, max gate, min gate.; Artificial intelligence; Biological cells; Boundary conditions; Fuzzy logic; Fuzzy sets; Image analysis; Image edge detection; Multivalued logic; Noise shaping; Shape; Fuzzy form, iterative array, max gate, min gate.;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/T-C.1975.224343