Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Quotient Fuzzy Normed Linear Spaces

  • Published : 1996.09.01
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Abstract

The main goal of this paper is to investigate some properties in close connection with the quotient fuzzy norm $ induced by a fuzzy semi-norm $ on a linear space X and the quotient map $q:X{\rightarrow]X/W, $ where W is a subspace of X.

Keywords

References

  1. A course in functional analysis J.B.Conway
  2. J. Math. Anal. Appl. v.58 Fuzzy vector spaces and fuzzy topological vector spaces A.K.Katsaras;D.B.Liu
  3. Fuzzy Sets and Systems v.6 Fuzzy topological vector spaces Ⅰ A.K.Katsaras
  4. Fuzzy Sets and Systems v.12 Fuzzy topological vector spaces Ⅱ A.K.Katsaras
  5. Fuzzy Sets and Systems v.45 Fuzzy continuity of linear maps on vector spaces S.V.Krishna;K.K.M.Sarma
  6. Fuzzy Sets and Systems v.63 Seperation of fuzzy normed linear spaces S.V.Krishna;K.K.M.Sarma
  7. J. Math. Anal. Appl. v.56 Fuzzy topological spaces and fuzzy compactness R.Lowen
  8. Proceedings of KFMS Spring Conference'95 v.5 On the completeness and fuzzy completeness Gil Seob Rhie;Dong Sik Kim
  9. Mathematica Japonica v.39 no.1 On a continuous base of fuzzy neighbourhoods of the orign on fuzzy locally convex spaces Y.Terao