Title of article
Differentiability of type-2 fuzzy number-valued functions
Author/Authors
Mazandarani، نويسنده , , Mehran and Najariyan، نويسنده , , Marzieh، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2014
Pages
16
From page
710
To page
725
Abstract
In this paper, we define a differentiability of the type-2 fuzzy number-valued functions. The definition is based on type-2 Hukuhara difference which is defined in the paper as well. The related theorem of the differentiability of the type-2 fuzzy number-valued functions is derived. In addition, a parametric closed form of the perfect triangular quasi type-2 fuzzy numbers is introduced, and finally, the applicability and an approach to solving type-2 fuzzy differential equations are illustrated using some examples and cases.
Keywords
Perfect type-2 fuzzy numbers , H2-differentiability. , Type-2 Hukuhara difference , Quasi type-2 fuzzy numbers , Type-2 fuzzy sets , Type-2 fuzzy differential equations
Journal title
Communications in Nonlinear Science and Numerical Simulation
Serial Year
2014
Journal title
Communications in Nonlinear Science and Numerical Simulation
Record number
1538321
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