Title of article
Approximation theorems for fuzzy set multifunctions in Vietoris topology.\\ Physical implications of regularity
Author/Authors
A. Gavrilut، A. Gavrilut نويسنده Faculty of Mathematics, \Alexandru Ioan Cuza" University of Iasi, Iasi, Romania A. Gavrilut, A. Gavrilut , M. Agop، M. Agop نويسنده Department of Physics, Gheorghe Asachi Technical University of Iasi, Iasi, Romania M. Agop, M. Agop
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2015
Pages
16
From page
27
To page
42
Abstract
In this paper, we consider continuity properties
(especially, regularity, also viewed as an approximation property) for $%
\mathcal{P}_{0}(X)$-valued set multifunctions ($X$ being a linear,
topological space), in order to obtain Egoroff and Lusin type theorems for
set multifunctions in the Vietoris hypertopology. Some mathematical
applications are established and several physical implications of the
mathematical model of regularity are presented, which allows a
classification of the physical models.
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Serial Year
2015
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Record number
1916385
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