A generalization of Hukuhara difference and division for interval and fuzzy arithmetic

@article{Stefanini2010AGO,
  title={A generalization of Hukuhara difference and division for interval and fuzzy arithmetic},
  author={Luciano Stefanini},
  journal={Fuzzy Sets and Systems},
  year={2010},
  volume={161},
  pages={1564-1584}
}
We propose a generalization of the Hukuhara difference. First, the case of compact convex sets is examined; then, the results are applied to generalize the Hukuhara difference of fuzzy numbers, using their compact and convex level-cuts. Finally, a similar approach is suggested to attempt a generalization of division for real intervals and fuzzy numbers. Applications to solving interval and fuzzy linear equations and fuzzy differential equations are shown. © 2009 Elsevier B.V. All rights… CONTINUE READING
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