The G-differentiability and geometric properties of the Zadeh extensions of functions

@article{Wang2004TheGA,
  title={The G-differentiability and geometric properties of the Zadeh extensions of functions},
  author={Gui-Xiang Wang},
  journal={Proceedings of 2004 International Conference on Machine Learning and Cybernetics (IEEE Cat. No.04EX826)},
  year={2004},
  volume={3},
  pages={1845-1849 vol.3}
}
  • Gui-Xiang Wang
  • Published 2004 in
    Proceedings of 2004 International Conference on…
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… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-5 of 5 references

, and Ma Ming , ‘ On embdding problem of fuzzy number space : Part 1 . 2 ”

Wu Congxin
Fuzzy Sets and Systems • 2003

concavoconvex fuzzy set ”

Yu-Ru Syau
Fuzzy Sets and Systems • 1996

0 the continuity of the Zadeb ’ sextension ”

P. Kloeden P. Diamond
Metric space of fuzzy sets • 1994

Fuzzy functional analysis ( 1 ) : Basic concepts ” On fuzzy mapping and contron ”

P. A. Tonelli
-1
View 1 Excerpt

The supremum and iafimum of the set of fuzzy numbers and its application ”

Wu Congxin, Wu cong
J . Math . Anal . Appl .