DocumentCode
424136
Title
The G-differentiability and geometric properties of the Zadeh extensions of functions
Author
Wang, Gui-Xiang
Author_Institution
Sch. of Sci., Hangzhou Inst. of Electron. Eng., China
Volume
3
fYear
2004
fDate
26-29 Aug. 2004
Firstpage
1845
Abstract
In this paper, the concepts of right G-derivative, left G-derivative and G-derivative (with respect to a direction) of fuzzy number mappings are introduced, and some properties of continuity, monotonicity, convexity (or concavity) and G-differentiability of fuzzy number mappings are given. After that, the continuity, monotonicity and convexity (or concavity) of the Zadeh extensions F (is restricted to fuzzy number space E) of a function f are characterized by the continuity, monotonicity and convexity (or concavity) of f, respectively.
Keywords
differentiation; fuzzy set theory; geometry; G-differentiability properties; Zadeh extensions; fuzzy number mappings; fuzzy number space; geometric properties; left G-derivative; right G-derivative; Cybernetics; Extraterrestrial measurements; Fuzzy set theory; Fuzzy sets; Mathematics;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics, 2004. Proceedings of 2004 International Conference on
Print_ISBN
0-7803-8403-2
Type
conf
DOI
10.1109/ICMLC.2004.1382077
Filename
1382077
Link To Document