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BEST APPROXIMATION SETS IN -n-NORMED SPACE CORRESPONDING TO INTUITIONISTIC FUZZY n-NORMED LINEAR SPACE | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 6، دوره 5، شماره 3، زمستان 2008، صفحه 57-69 اصل مقاله (172.22 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2008.346 | ||
| نویسندگان | ||
S. Vijayabalaji  1؛ N. Thillaigovindan2
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| 1Department of Mathematics, Anna University, Tiruchirappallli, Panruti Campus, Tamilnadu, India | ||
| 2Department of Mathematics, Annamalai university, Annamalainagar- 608002, Tamilnadu, India | ||
| چکیده | ||
| The aim of this paper is to present the new and interesting notion of ascending family of $alpha $ −n-norms corresponding to an intuitionistic fuzzy nnormed linear space. The notion of best aproximation sets in an $alpha $ −n-normed space corresponding to an intuitionistic fuzzy n-normed linear space is also defined and several related results are obtained. | ||
| کلیدواژه‌ها | ||
| Fuzzy n-normed linear space؛ intuitionistic fuzzy n-norm؛ Best approximation sets | ||
| مراجع | ||
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[1] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1) (1986), 87-96. [2] K. T. Atanassov, Intuitionistic fuzzy sets, Physica-Verlag Heidelberg, Newyork, 1999. [3] T. Bag and S. K. Samanta, Finite dimensional fuzzy normed linear spaces, The Journal of Fuzzy Mathematics, 11(3) (2003), 687-705. [4] S. C. Chang and J. N. Mordesen, Fuzzy linear operators and fuzzy normed linear spaces, Bull. Cal. Math. Soc., 86 (1994), 429-436. [5] C. Felbin, The completion of fuzzy normed linear space, Journal of Mathematical Analysis and Applications, 174(2) (1993), 428-440. [6] C. Felbin, Finite dimensional fuzzy normed linear spaces II, Journal of Analysis, 7 (1999), 117-131. [7] S. G¨ahler, Lineare 2-normierte R¨aume, Math. Nachr., 28 (1965), 1-43. [8] S. G¨ahler, Unter Suchungen ¨U ber Veralla gemeinerte m-metrische R¨aume I, Math. Nachr., 1969, 165-189. [9] H. Gunawan and M. Mashadi, On n-normed spaces, Int. J. Math. Math. Sci., 27(10) (2001), 631-639. [10] S. S. Kim and Y. J. Cho, Strict convexity in linear n-normed spaces, Demonstratio Math., 29(4) (1996), 739-744. [11] S. V. Krishna and K. K. M. Sarma, Separation of fuzzy normed linear spaces, Fuzzy Sets and Systems, 63 (1994), 207-217. [12] R. Malceski, Strong n-convex n-normed spaces, Mat. Bilten, 21 (1997), 81-102. [13] A. Misiak, n-inner product spaces, Math. Nachr., 140 (1989), 299-319. [14] A. Narayanan and S. Vijayabalaji, Fuzzy n-normed linear space, Int. J. Math. Math. Sci., 24 (2005), 3963-3977. [15] A. Narayanan, S. Vijayabalaji and N. Thillaigovindan, Intuitionistic fuzzy bounded linear operators, Iranian Journal of Fuzzy Systems, 4(1) (2007), 89-101. | ||
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