Proceedings of the 8th Conference of the European Society for Fuzzy Logic and Technology 2013 **Abstract:** In this contribution, the F 1 -transform of functions of two variables is introduced. It combines properties of the F-transform of functions of two variables and the F 1 -transform of functions of one variable. The aim of this study is to prove approximation properties of the F 1 -transform components and of the inverse F 1 -transform in this particular case.

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2018

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“…, Y n ] of the FzT for the functions x(t) and y(t). The problem with the previous scheme (22) is that the unknown quantities F k+1 and G k+1 which means that X k+1 (Y k+1 ) appears on both sides and an implicit method. Therefore, one solution to this problem would be to use an explicit method such as another fuzzy approach, namely Scheme I.…”

confidence: 99%

“…, Y n ] of the FzT for the functions x(t) and y(t). The problem with the previous scheme (22) is that the unknown quantities F k+1 and G k+1 which means that X k+1 (Y k+1 ) appears on both sides and an implicit method. Therefore, one solution to this problem would be to use an explicit method such as another fuzzy approach, namely Scheme I.…”

confidence: 99%

“…FzT of two variables based on finite differences method was used by [21] for solving a type of partial differential equations with Dirichlet boundary conditions and initial conditions. In addition, the first degree FzT of two variables was introduced by [22]. By [23], the partial derivatives using the first FzT were approximated and modification of the Canny edge detector was proposed.…”

confidence: 99%