On the Monotonicity of Smooth Fuzzy Systems Articles uri icon

authors

  • SADJADI, EBRAHIM

publication date

  • December 2021

start page

  • 3947

end page

  • 3952

issue

  • 12

volume

  • 29

International Standard Serial Number (ISSN)

  • 1063-6706

Electronic International Standard Serial Number (EISSN)

  • 1941-0034

abstract

  • This article addresses the monotonicity property of the smooth fuzzy systems (SFSs). We have derived the sufficient conditions for the monotonicity of SFS and could show that, since the smooth fuzzy compositions are differentiable to the membership functions (MFs), irrespective to the shape of the membership function, one can obtain the monotonic SFS by the proper selection of the inference scheme and the consequent parts. This gives more flexibility that the MFs can have discontinuity in the universe of discourse or switch their values and the SFS still keep to be monotonic. This property is useful for the control and modeling of switched and hybrid dynamic systems.

subjects

  • Mathematics

keywords

  • fuzzy inference; monotonic fuzzy system; smooth compositions; theoretical results; tsk fuzzy systems