Directional derivatives and subdifferential of convex fuzzy mappings and application in convex fuzzy programming

@article{Wang2003DirectionalDA,
  title={Directional derivatives and subdifferential of convex fuzzy mappings and application in convex fuzzy programming},
  author={Guixiang Wang and Congxin Wu},
  journal={Fuzzy Sets and Systems},
  year={2003},
  volume={138},
  pages={559-591}
}
In this paper, we put forward the concepts of directional derivative, di#erential and subdi#erential of fuzzy mappings from Rn into E1, and discuss the characterizations of directional derivative and di#erential by, respectively, using the directional derivative and di#erential of two crisp functions that are determined by the fuzzy mapping. And we also consider the problem of existence of directional derivative for convex fuzzy mappings, and discuss the relations among directional derivative… CONTINUE READING
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