New Results on Multiple Solutions for Intuitionistic Fuzzy Differential Equations

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.

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