Title :
Representing and comparing two kinds of fuzzy numbers
Author :
Ma, Ming ; Kandel, Abraham ; Friedman, Menahem
Author_Institution :
Dept. of Comput. Sci. & Eng., Univ. of South Florida, Tampa, FL, USA
fDate :
11/1/1998 12:00:00 AM
Abstract :
As a mathematical representation of the linguistic variable, fuzzy number theory with its applications was extensively developed. We investigate two popular representations of fuzzy numbers, symmetric-triangular and bell-shaped, and compare their arithmetic, dimensions and metrics. It is shown that, as far as linear structures are concerned, both representations are equivalent
Keywords :
fuzzy set theory; arithmetic; bell-shaped representation; fuzzy numbers; linear structures; linguistic variable; mathematical representation; metrics; symmetric-triangular representation; Arithmetic; Calculus; Computer science; Fuzzy control; Fuzzy logic; Fuzzy sets; Fuzzy systems; Physics;
Journal_Title :
Systems, Man, and Cybernetics, Part C: Applications and Reviews, IEEE Transactions on
DOI :
10.1109/5326.725344
