New Results on Multiple Solutions for Intuitionistic Fuzzy Differential Equations

Wang Lei () and Guo Sicong ()
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Wang Lei: Department of Basic Teaching, Liaoning Technical University, Huludao, 125105, China
Guo Sicong: College of Science, Liaoning Technical University, Fuxin, 123000, China

Journal of Systems Science and Information, 2016, vol. 4, issue 6, 560-573

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.

Keywords: (α; β)-cut set; intuitionistic fuzzy number; Hukuhara difference of intuitionistic fuzzy number; differentiability of intuitionistic fuzzy number-valued functions; intuitionistic fuzzy differential equations (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/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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