Title :
New operations on fuzzy numbers and intervals
Author :
Yefremov, Alexander A.
Author_Institution :
Dept. of Automatics & Comput. Syst., Inst. of Cybern., Tomsk, Russia
Abstract :
This paper introduces new operations on fuzzy numbers and intervals. These operations allow keeping the shape of a membership function intact and constructing complex linguistic terms corresponding to such linguistic hedges as “very” and “more or less”. The article contains mathematical equations which allow us to determine the characteristic points of operation results for particular types of membership functions without integral evaluation.
Keywords :
computational linguistics; fuzzy set theory; complex linguistic terms; fuzzy intervals; fuzzy numbers; linguistic hedges; mathematical equations; membership function; Equations; fuzzy number; fuzzy set; linguistic hedges; piecewise continuous functions; polynomial membership function;
Conference_Titel :
Mechanical Engineering, Automation and Control Systems (MEACS), 2014 International Conference on
Conference_Location :
Tomsk
Print_ISBN :
978-1-4799-6220-4
DOI :
10.1109/MEACS.2014.6986900
