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http://dx.doi.org/10.4134/BKMS.2007.44.2.291

INTUITIONISTIC FUZZY n-NORMED LINEAR SPACE  

Vijayabalaji, Srinivasan (DEPARTMENT OF MATHEMATICS ANNAMALAI UNIVERSITY)
Thillaigovindan, Natesan (DEPARTMENT OF MATHEMATICS ANNAMALAI UNIVERSITY)
Jun, Young-Bae (DEPARTMENT OF MATHEMATICS EDUCATION GYEONGSANG NATIONAL UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.44, no.2, 2007 , pp. 291-308 More about this Journal
Abstract
The motivation of this paper is to present a new and interesting notion of intuitionistic fuzzy n-normed linear space. Cauchy sequence and convergent sequence in intuitionistic fuzzy n-normed linear space are introduced and we provide some results onit. Furthermore we introduce generalized cartesian product of the intuitionistic fuzzy n-normed linear space and establish some of its properties.
Keywords
n-norm; fuzzy n-norm; intuitionistic fuzzy n-norm;
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1 K. T. Atanassov, More on intuitionistic fuzzy sets, Fuzzy Sets and Systems 33 (1989), no. 1, 37-45   DOI   ScienceOn
2 A. K. Katsaras, Fuzzy topological vector spaces. II., Fuzzy Sets and Systems 12 (1984), no. 2, 143-154   DOI   ScienceOn
3 C. Felbin, Finite-dimensional fuzzy normed linear space, Fuzzy Sets and Systems 48 (1992), no. 2, 239-248   DOI   ScienceOn
4 K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), no. 1, 87-96   DOI   ScienceOn
5 K. T. Atanassov, Intuitionistic fuzzy sets, Theory and applications. Studies in Fuzziness and Soft Computing, 35. Physica-Verlag, Heidelberg, 1999
6 T. Bag and S. K. Samanta, Finite dimensional fuzzy normed linear spaces, J. Fuzzy Math. 11 (2003), no. 3, 687-705
7 C. Felbin, The completion of a fuzzy normed linear space, J. Math. Anal. Appl. 174 (1993), no. 2, 428-440   DOI   ScienceOn
8 A. Misiak, n-inner product spaces, Math. Nachr. 140 (1989), 299-319   DOI
9 K. T. Atanassov, Intuitionistic fuzzy sets VII ITKR's session, Sofia, June 1983(Deposed in Central Sci-Techn.Library of Bulg. Acad. of. Sci., 1967/84) (in Bulgarian)
10 S. C. Chang and J. N. Mordesen, Fuzzy linear operators and fuzzy normed linear spaces, Bull. Calcutta Math. Soc. 86 (1994), no. 5, 429-436
11 C. Felbin, Finite dimensional fuzzy normed linear space. II., J. Anal. 7 (1999), 117-131
12 H. Gunawan and M. Mashadi, On n-normed spaces, Int. J. Math. Math. Sci. 27 (2001), no. 10, 631-639   DOI   ScienceOn
13 S. Gahler, Lineare 2-normierte Raume, Math. Nachr. 28 (1964), 1-43   DOI
14 S. Gahler, Untersuchungen uber verallgemeinerte m-metrische Raume, I, II, III., Math. Nachr. 40 (1969), 165-189   DOI
15 G. Deschrijver and E. Kerre, On the Cartesian product of intuitionistic fuzzy sets, J. Fuzzy Math. 11 (2003), no. 3, 537-547
16 S. S. Kim and Y. J. Cho, Strict convexity in linear n-normed spaces, Demonstratio Math. 29 (1996), no. 4, 739-744
17 S. V. Krishna and K. K. M. Sarma, Separation of fuzzy normed linear spaces, Fuzzy Sets and Systems 63 (1994), no. 2, 207-217   DOI   ScienceOn
18 R. Malceski, Strong n-convex n-normed spaces, Mat. Bilten No. 21 (1997), 81-102
19 J. H. Park, Intuitionistic fuzzy metric spaces, Chaos Solitons Fractals 22 (2004), no. 5, 1039-1046   DOI   ScienceOn
20 G. S. Rhie, B. M. Choi, and D. S. Kim, On the completeness of fuzzy normed linear spaces, Math. Japon. 45 (1997), no. 1, 33-37
21 B. Schweizer and A. Sklar, Statistical metric spaces, Pacific J. Math. 10 (1960), 313-334   DOI
22 Al. Narayanan and S. Vijayabalaji, Fuzzy n-normed linear space, Int. J. Math. Math. Sci. (2005), no. 24, 3963-3977