New Results on Multiple Solutions for Intuitionistic Fuzzy Differential Equations

Lei WANG, Sicong GUO

Journal of Systems Science and Information ›› 2016, Vol. 4 ›› Issue (6) : 560-573.

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Journal of Systems Science and Information ›› 2016, Vol. 4 ›› Issue (6) : 560-573. DOI: 10.21078/JSSI-2016-560-14
Article

New Results on Multiple Solutions for Intuitionistic Fuzzy Differential Equations

  • Lei WANG1, Sicong GUO2
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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.

Key words

(α,β)-cut set / intuitionistic fuzzy number / Hukuhara difference of intuitionistic fuzzy number / differentiability of intuitionistic fuzzy number-valued functions / intuitionistic fuzzy differential equations

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Lei WANG, Sicong GUO. New Results on Multiple Solutions for Intuitionistic Fuzzy Differential Equations. Journal of Systems Science and Information, 2016, 4(6): 560-573 https://doi.org/10.21078/JSSI-2016-560-14

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Funding

Supported by the National Natural Science Foundation of China(61304173), the Foundation of Liaoning Educational Committee(13-1069)

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