Title :
The Properties of Fuzzy Number Valued Power Function
Author :
Wang, Gui-Xiang ; Liu, Rui-qin
Author_Institution :
Sch. of Sci., Hangzhou Univ.
Abstract :
In this paper, we discuss the properties of the fuzzy number functions that are the Zadeh extension of usual real-valued power functions on fuzzy number space. The continuity, monotonicity, convexity (or concavity), G-differentiability and the integral over directed line segment of the fuzzy number functions are characterized with the corresponding analytical properties of usual real-valued power functions
Keywords :
differentiation; fuzzy set theory; geometry; integration; number theory; G-differentiability concept; Zadeh extension; convexity concept; directed line segment; fuzzy mapping; fuzzy number function; integral concept; monotonicity concept; real-valued power function; Cybernetics; Machine learning; Mathematics; Space technology; Fuzzy number; convexity; differentiability; fuzzy mapping; integral;
Conference_Titel :
Machine Learning and Cybernetics, 2006 International Conference on
Conference_Location :
Dalian, China
Print_ISBN :
1-4244-0061-9
DOI :
10.1109/ICMLC.2006.258906
