한국지능시스템학회논문지 (Journal of the Korean Institute of Intelligent Systems)

  • 제17권1호
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  • Pages.143-147
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  • 2007
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  • 1976-9172(pISSN)
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  • 2288-2324(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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Some properties of the convergence of sequences of fuzzy points in a fuzzy normed linear space

  • 발행 : 2007.02.25
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초록

With a new ordinary norm as an analogy of Krishna and Sarma[5] and Bag and Samanta[1], we will characterize the notions of the convergence of the sequences of fuzzy points, the fuzzy, ${\alpha}$-Cauchy sequence and fuzzy completeness.

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참고문헌

  1. T. Bag and S.K Samanta, Finite dimensional fuzzy normed linear spaces, J. fuzzy math. Vol. 11 No. 3(2003) 687-705
  2. A.K Katsaras and D.B. Liu, fuzzy vector spaces and fuzzy topological vector spaces,J. Math.Anal. Appl, 58(1977), 135-146 https://doi.org/10.1016/0022-247X(77)90233-5
  3. A.K Katsaras, Fuzzy topological vector space I, Fuzzy Sets and Systems 6(1981), 85-95 https://doi.org/10.1016/0165-0114(81)90082-8
  4. A.K Katsaras, Fuzzy topological vector spaces II, Fuzzy Sets and Systems 12(1984), 143-154 https://doi.org/10.1016/0165-0114(84)90034-4
  5. S.V. Kirshna amd K.K.M Sarma, Fuzzy topological vector vector spaces- topological generation and normability, Fuzzy Sets and Systems 41 (1991), 89-99 https://doi.org/10.1016/0165-0114(91)90159-N
  6. S.V. Kirshna amd KKM Sarma, Fuzzy continuity of linear maps on vector spaces, Fuzzy Sets and Systems 45 (1992), 341-354 https://doi.org/10.1016/0165-0114(92)90153-U
  7. G.S. Rhie, B.M. Choi and D.S. Kim, On the completeness of fuzzy normed linear spaces, Math. Japonica 45, No.l(1997) 33-37