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Exact Controllability for Fuzzy Differential Equations in Credibility Space
Author(s) -
Bu Young Lee,
Hae Eun Youm,
Jeong Soon Kim
Publication year - 2014
Publication title -
international journal of fuzzy logic and intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.296
H-Index - 9
eISSN - 2093-744X
pISSN - 1598-2645
DOI - 10.5391/ijfis.2014.14.2.145
Subject(s) - controllability , mathematics , credibility , fuzzy logic , differential equation , space (punctuation) , differential (mechanical device) , fuzzy control system , stability (learning theory) , mathematical analysis , computer science , physics , artificial intelligence , political science , law , operating system , machine learning , thermodynamics
With reasonable control selections on the space of functions, various application models can take the shape of a well-defined control system on mathematics. In the credibility space, controlability management of fuzzy differential equation is as much important issue as stability. This paper addresses exact controllability for abstract fuzzy differential equations in the credibility space in the perspective of Liu process. This is an extension of the controllability results of Park et al. (Controllability for the semilinear fuzzy integro-differential equations with nonlocal conditions) to fuzzy differential equations driven by Liu process.

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