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Approximation theorems for fuzzy set multifunctions in Vietoris topology. Physical implications of regularity | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 3، دوره 12، شماره 1، اردیبهشت 2015، صفحه 27-42 اصل مقاله (432.65 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2015.1840 | ||
نویسندگان | ||
A. Gavrilut* 1؛ M. Agop2 | ||
1Faculty of Mathematics, \Alexandru Ioan Cuza" University of Iasi Iasi, Romania | ||
2Department of Physics, Gheorghe Asachi Technical University of Iasi, Iasi, Romania | ||
چکیده | ||
n 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. | ||
کلیدواژهها | ||
Vietoris topology؛ Regularity؛ Approximations؛ Fractal Theories؛ Non-differentiable physics؛ Scale relativity theory | ||
مراجع | ||
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