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INTUITIONISTIC FUZZY BOUNDED LINEAR OPERATORS | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 8، دوره 4، شماره 1، تیر 2007، صفحه 89-101 اصل مقاله (231.24 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2007.361 | ||
نویسندگان | ||
S. Vijayabalaji* 1؛ N. Thillaigovindan2 | ||
1Department of Mathematics, Annamalai University, Annamalainagar- 608002, Tamilnadu, India | ||
2Department of Mathematics Section, Faculty of Engineering and Technology, Annamalai University, Annamalainagar-608002, Tamilnadu, India | ||
چکیده | ||
The object of this paper is to introduce the notion of intuitionistic fuzzy continuous mappings and intuitionistic fuzzy bounded linear operators from one intuitionistic fuzzy n-normed linear space to another. Relation between intuitionistic fuzzy continuity and intuitionistic fuzzy bounded linear operators are studied and some interesting results are obtained. | ||
کلیدواژهها | ||
fuzzy n-norm؛ intuitionistic fuzzy n-norm؛ intuitionistic fuzzy continuous mapping؛ intuitionistic fuzzy bounded linear operator | ||
مراجع | ||
[1] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1)(1986), 87-96. [2] K. T. Atanassov, More on intuitionistic fuzzy sets, Fuzzy Sets and Systems, 33(1989), 37-46. [3] K. T. Atanassov, Intuitionistic fuzzy sets, Physica-Verlag Heidelberg, Newyork, 1999. [4] T. Bag and S. K. Samanta, Finite dimensional fuzzy normed linear spaces, The Journal of Fuzzy Mathematics, 11(3)(2003), 687-705. [5] T. Bag and S. K. Samanta, Fuzzy bounded linear operators, Fuzzy Sets and Systems, 151(2005), 513-547. [6] S. C. Chang and J. N. Mordesen, Fuzzy linear operators and fuzzy normed linear spaces, Bull. Cal. Math. Soc., 86(1994), 429-436. [7] G. Deschrijver and E. Kerre , On the Cartesian product of the intuitionistic fuzzy sets, The Journal of Fuzzy Mathematics, 11 (3)(2003), 537-547. [8] MS. Elnaschie, On the uncertainty of Cantorian geometry and two-slit experiment, Chaos, Soliton and Fractals, 9 (3)(1998), 517-529. [9] MS. Elnaschie, On the verications of heterotic strings theory and 1 theory, Chaos, Soliton and Fractals,11 (2) (2000), 2397-2407. [10] C. Felbin, Finite dimensional fuzzy normed linear spaces, Fuzzy Sets and Systems, 48 (1992), 239-248. [11] C. Felbin, The Completion of fuzzy normed linear space, Journal of Mathematical Analysis and Applications, 174 (2)(1993), 428-440. [12] C. Felbin, Finite dimensional fuzzy normed linear spaces II, Journal of Analysis, 7 (1999), 117-131. [13] S. G¨ahler, Lineare 2-Normierte R¨aume, Math. Nachr., 28 (1965), 1-43. [14] S. G¨ahler, Unter Suchungen ¨U ber Veralla gemeinerte m-metrische R¨aume I, Math. Nachr., (1969), 165-189. [15] H. Gunawan and M. Mashadi, on n-Normed spaces, International J. Math. & Math. Sci., 27 (10)(2001), 631-639. [16] A. K. Katsaras, Fuzzy topological vector spaces II, Fuzzy Sets and Systems, 12 (1984), 143- 154. [17] S. S. Kim and Y. J. Cho, Strict convexity in linear n-normed spaces, Demonstratio Math., 29 (4) (1996), 739-744. [18] S. V. Krishna and K. K. M. Sharma, Separation of fuzzy normed linear spaces, Fuzzy Sets and Systems, 63 (1994), 207-217. [19] R. Malceski, Strong n-convex n-normed spaces, Mat. Bilten, 21 (1997), 81-102. [20] A. Misiak, n-inner product spaces, Math. Nachr., 140 (1989), 299-319. [21] AL. Narayanan and S. Vijayabalaji, Fuzzy n-normed linear space, 24(2005), 3963-3977. [22] J. H. Park, Intuitionistic fuzzy metric space, Chaos, Solitons and Fractals, 22(2004), 1039- 1046. [23] G. S. Rhie, B. M. Choi and S. K. Dong, On the completeness of fuzzy normed linear spaces, Math. Japonica, 45 (1) (1997), 33-37. [24] B. Schweizer and A. Sklar, Statistical metric spaces, Pacific J. Math., 10(1960), 314-334. [25] S. Vijayabalaji, N. Thillaigovindan and Y. B. Jun, Intuitionistic fuzzy n-normed linear space, Submitted to Bulletin of Korean Mathematical Society, Korea. | ||
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