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SOME RESULTS ON INTUITIONISTIC FUZZY SPACES | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 5، دوره 4، شماره 1، تیر 2007، صفحه 53-64 اصل مقاله (240.45 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2007.357 | ||
| نویسندگان | ||
S. B. Hosseini1؛ Donal O’Regan2؛ Reza Saadati  3
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| 1Islamic Azad University-Nour Branch, Nour, Iran | ||
| 2Department of Mathematics, National University of Ireland, Galway, Ireland | ||
| 3Department of Mathematics, Islamic Azad University-Ayatollah Amoly Branch, Amol, Iran and Institute for Studies in Applied Mathematics 1, Fajr 4, Amol 46176-54553, Iran | ||
| چکیده | ||
| In this paper we define intuitionistic fuzzy metric and normed spaces. We first consider finite dimensional intuitionistic fuzzy normed spaces and prove several theorems about completeness, compactness and weak convergence in these spaces. In section 3 we define the intuitionistic fuzzy quotient norm and study completeness and review some fundamental theorems. Finally, we consider some properties of approximation theory in intuitionistic fuzzy metric spaces. | ||
| کلیدواژه‌ها | ||
| Intuitionistic fuzzy metric (normed) spaces؛ completeness؛ Compactness؛ Finite dimensional؛ Weak convergence؛ Quotient spaces؛ Approximation theory | ||
| مراجع | ||
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