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POINTWISE PSEUDO-METRIC ON THE L-REAL LINE | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 3، دوره 2، شماره 2، زمستان 2005، صفحه 15-20 اصل مقاله (156.34 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2005.478 | ||
| نویسنده | ||
| Fu-Gui Shi | ||
| Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, P.R. China | ||
| چکیده | ||
| In this paper, a pointwise pseudo-metric function on the L-real line is constructed. It is proved that the topology induced by this pointwise pseudo-metric is the usual topology. | ||
| کلیدواژه‌ها | ||
| L-topology؛ Pointwise pseudo-metric؛ The L-real line | ||
| مراجع | ||
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[1] G. Gierz et al.. , A compendium of continuous lattice, Springer-Verlag, Berlin, 1980. [2] B. Hutton, Normality in fuzzy topological spaces, J. Math. Anal. Appl. , 50 (1975) 74–79. [3] U. H¨ohle, Probabilistsche Metriken auf der Menge nicht negativen verteilungsfunktionen, Aequationes Math. , 18(1978) 345–356. [4] T. E. Gantner, Steinlage R C and Warren R H, Compactness in fuzzy topological spaces, J. Math. Anal. Appl. , 62(1978) 547-562. [5] Y. -M. Liu and M. -K. Luo, Fuzzy topology, World Scientific, Singapore, 1997. [6] F. -G. Shi, Pointwise quasi-uniformities and p.q. metrics on completely distributive lattices, Acta Math. Sinica, 39(1996) 701–706. [7] F. -G. Shi, Pointwise uniformities and metrics on fuzzy lattices, Chinese Sci. Bull. , 42 (1997) 718–720. [8] F. -G. Shi, Pointwise uniformities in fuzzy set theory, Fuzzy Sets and Systems, 98(1998) 141–146. [9] F. -G. Shi, Pointwise metrics in fuzzy set theory, Fuzzy Sets and Systems, 121(2001) 209–216. | ||
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