Title :
Defuzzification of fuzzy intervals
Author :
Zhao, Renhong ; Govind, Rakesh
Author_Institution :
Dept. of Chem. Eng., Cincinnati Univ., OH, USA
Abstract :
Fuzzy intervals are classified as regular or irregular based on the defuzzification method. A fuzzy interval is regular if its membership function is maximized at its defuzzified value. If the center-of-area method or the fuzzy-mean method is used, the regularity of a fuzzy interval is preserved after applying an arithmetic operation with nonzero real number. Further, the regularities based on the center-of-area method are preserved after addition and subtraction operations on two or more regular fuzzy intervals
Keywords :
fuzzy set theory; addition; center-of-area method; defuzzification method; fuzzy intervals; fuzzy set theory; fuzzy-mean method; irregular intervals; membership function; regular intervals; regularity; subtraction; Arithmetic; Chemical engineering; Fuzzy control; Fuzzy sets; Message-oriented middleware; Pneumatic actuators; Process control; Recurrent neural networks;
Conference_Titel :
Uncertainty Modeling and Analysis, 1990. Proceedings., First International Symposium on
Conference_Location :
College Park, MD
Print_ISBN :
0-8186-2107-9
DOI :
10.1109/ISUMA.1990.151284
