Title :
On typical values and fuzzy integrals
Author :
Friedman, Menahem ; Ming, Ma ; Kandel, Abraham
Author_Institution :
Dept. of Comput. Sci. & Eng., Univ. of South Florida, Tampa, FL, USA
fDate :
8/1/1997 12:00:00 AM
Abstract :
A new approach for obtaining a typical value of a fuzzy set as a fuzzy integral is developed by replacing the classic Lebesgue measure with the “typicality” measure. A new method for representing and calculating the one-dimensional fuzzy integral with respect to arbitrary measure derived by monotonic increasing function is proposed and its applicability is illustrated with examples
Keywords :
fuzzy logic; fuzzy set theory; arbitrary measure; classic Lebesgue measure; fuzzy integrals; fuzzy set; monotonic increasing function; Clustering algorithms; Computer science; Equations; Fuzzy logic; Fuzzy sets; Measurement standards; Physics;
Journal_Title :
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
DOI :
10.1109/3477.604115
