Journal of Hebei University (Natural Science Edition) ›› 2015, Vol. 35 ›› Issue (2): 113-117.DOI: 10.3969/j.issn.1000-1565.2015.02.001

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Properties of fuzzy different

YOU Cuilian,WANG Weiqing   

  1. College of mathematics and information science,Hebei University,baoding 071002
  • Received:2014-10-08 Revised:2014-12-10 Online:2015-03-25 Published:2015-03-25
  • Contact: YOU Cuilian

Abstract: To solve fuzzy differential equation driven by Liu process, some properties of a new kind of fuzzy differential (Liu differential) are needed. Two mean value theorems of fuzzy differential and four fuzzy differential formulas are given in this paper. Furthermore, these conclusions are extended to the case of complex fuzzy process. The studies above laid a theoretical foundation for calculation and application of the fuzzy differential equation.

Key words: fuzzy process, fuzzy differential, mean value theorem, complex fuzzy process

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