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Continuity in fuzzy topological spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 179، دوره 13، شماره 1، خرداد 2022، صفحه 2163-2169 اصل مقاله (341.83 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5911 | ||
| نویسنده | ||
| Mohammed F. Marashdeh* | ||
| Faculty of Mathematics and Statistics, Mutah University, Al-Karak, Jordan | ||
| تاریخ دریافت: 22 شهریور 1400، تاریخ بازنگری: 27 مهر 1400، تاریخ پذیرش: 15 آبان 1400 | ||
| چکیده | ||
| In this paper, we introduce and characterize the notion of fuzzy continuous functions and fuzzy homeomorphic topological spaces of fuzzy subspaces. Fuzzy base and fuzzy sub base for a fuzzy topology in fuzzy spaces were also introduced and discussed. | ||
| کلیدواژهها | ||
| Fuzzy space؛ fuzzy topology؛ fuzzy function؛ fuzzy homeomorphism | ||
| مراجع | ||
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[1] A.U. Alkouri, M. Hazaimeh and I. Jawarneh, More on fuzzy topological spaces on fuzzy spaces, A preprint, arXiv:2105.07488v1 [math.GN] 16 May 2021. [2] C.L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968) 182–190. [3] K.A. Dib and N.L. Youssef, Fuzzy Cartesian product, fuzzy relations and fuzzy functions, Fuzzy Sets Syst. 41 (1991) 299–315. [4] K.A. Dib, On fuzzy spaces and fuzzy group theory, Inf. Sci. 80(3-4) (1994) 253–282. [5] K.A. Dib, The fuzzy topological spaces on fuzzy space, Fuzzy Sets Syst. 108 (1999) 103–110. [6] R. Lowen, Fuzzy topological spaces and fuzzy compactness, J. Math. Anal. Appl. 56 (1976) 621–633. [7] Z. Chong-You, On connectedness of fuzzy topological spaces, Fuzzy Math. 3 (1982) 59–66. [8] Z. Chong-You, Fuzzy path and fuzzy connectedness, Fuzzy Sets Syst. 14 (1983) 273–280. | ||
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