New Results on Multiple Solutions for Intuitionistic Fuzzy Differential Equations
2016 ◽
Vol 4
(6)
◽
pp. 560-573
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Keyword(s):
Cut Set
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AbstractThe 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.
2018 ◽
Vol 36
(1)
◽
pp. 235
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2018 ◽
Vol 14
(03)
◽
pp. 363-381
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2004 ◽
Vol 12
(03)
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pp. 377-386
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2017 ◽
Vol 6
(3)
◽
pp. 6-58
2021 ◽
Vol 12
(3)
◽
pp. 5121-5128
2020 ◽
Vol 9
(11)
◽
pp. 9273-9286