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New Results on Multiple Solutions for Intuitionistic Fuzzy Differential Equations

Author

Listed:
  • Wang Lei

    (Department of Basic Teaching, Liaoning Technical University, Huludao, 125105, China)

  • Guo Sicong

    (College of Science, Liaoning Technical University, Fuxin, 123000, China)

Abstract

The first-order fuzzy differential equations with intuitionistic fuzzy initial valued problem is studied. Firstly, with the help of (α, β)-cut set, the distance metric and the Hukuhara difference between intuitionistic fuzzy numbers are defined, and on this basis the concept of differentiability for the intuitionistic fuzzy number-valued functions is defined and a corresponding theorem is derived. Then, according to the selection of derivative the first order intuitionistic fuzzy differential equations is interpreted. Finally, an example of first-order linear intuitionistic fuzzy differential equations is solved, and the results show that there are four different solutions.

Suggested Citation

  • Wang Lei & Guo Sicong, 2016. "New Results on Multiple Solutions for Intuitionistic Fuzzy Differential Equations," Journal of Systems Science and Information, De Gruyter, vol. 4(6), pages 560-573, December.
    • Handle: RePEc:bpj:jossai:v:4:y:2016:i:6:p:560-573:n:6
    DOI: 10.21078/JSSI-2016-560-14
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