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Only two fuzzy labels are adopted for each fuzzy variable.
Ren, T. "A kind of fuzzy variable structure controller design for chaotic system," Journal of System Simulation, vol.15, no.11, pp.1637-1638.
This concept may be regard as an extension of both random variable and fuzzy variable.
A fuzzy variable is represented as a set of interval variables via the membership function.
The options for non-probabilistic representations include intervals, convex functions, and (or) fuzzy variable models.
Based on the concept of semivariance of fuzzy variable, two fuzzy mean-semivariance models are proposed.
Thus, a fuzzy variable structure control with nonlinear adaptive control law is achieved.
The adaptive fuzzy variable structure controller developed in this paper employs fuzzy controller with nonlinear sliding mode.
For this purpose, the absolute deviation and absolute semi-deviation are first defined for fuzzy variable by nonlinear fuzzy integrals.
The design range is modeled as a fuzzy variable and the system range is modeled as a random variable.
Due to the deficiency of information, the membership function of a fuzzy variable cannot be obtained explicitly.
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