Differentiability of type-2 fuzzy number-valued functions

作者：Mazandarani Mehran^*; Najariyan Marzieh

来源：Communications in Nonlinear Science & Numerical Simulation, 2014, 19(3): 710-725.

DOI：10.1016/j.cnsns.2013.07.002

• Type-2 fuzzy sets
• Type-2 Hukuhara difference
• Type-2 fuzzy differential equations
• Quasi type-2 fuzzy numbers
• Perfect type-2 fuzzy numbers
• H-2-differentiability

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.

• 出版日期2014-3