Proto-metrizable fuzzy topological spaces

Francisco Gallego Lupiañez

Kybernetika (1999)

  • Volume: 35, Issue: 2, page [209]-213
  • ISSN: 0023-5954

Abstract

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In this paper we define for fuzzy topological spaces a notion corresponding to proto-metrizable topological spaces. We obtain some properties of these fuzzy topological spaces, particularly we give relations with non-archimedean, and metrizable fuzzy topological spaces.

How to cite

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Lupiañez, Francisco Gallego. "Proto-metrizable fuzzy topological spaces." Kybernetika 35.2 (1999): [209]-213. <http://eudml.org/doc/33422>.

@article{Lupiañez1999,
abstract = {In this paper we define for fuzzy topological spaces a notion corresponding to proto-metrizable topological spaces. We obtain some properties of these fuzzy topological spaces, particularly we give relations with non-archimedean, and metrizable fuzzy topological spaces.},
author = {Lupiañez, Francisco Gallego},
journal = {Kybernetika},
keywords = {fuzzy topological space; proto-metrizable topological space; fuzzy topological space; proto-metrizable topological space},
language = {eng},
number = {2},
pages = {[209]-213},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Proto-metrizable fuzzy topological spaces},
url = {http://eudml.org/doc/33422},
volume = {35},
year = {1999},
}

TY - JOUR
AU - Lupiañez, Francisco Gallego
TI - Proto-metrizable fuzzy topological spaces
JO - Kybernetika
PY - 1999
PB - Institute of Information Theory and Automation AS CR
VL - 35
IS - 2
SP - [209]
EP - 213
AB - In this paper we define for fuzzy topological spaces a notion corresponding to proto-metrizable topological spaces. We obtain some properties of these fuzzy topological spaces, particularly we give relations with non-archimedean, and metrizable fuzzy topological spaces.
LA - eng
KW - fuzzy topological space; proto-metrizable topological space; fuzzy topological space; proto-metrizable topological space
UR - http://eudml.org/doc/33422
ER -

References

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  9. Lupiáñez F. G., Non–archimedean fuzzy topological spaces, J. Fuzzy Math. 4 (1996), 559–565 (1996) Zbl0943.54007MR1410629
  10. Martin H. W., 10.1016/0022-247X(80)90170-5, J. Math. Anal. Appl. 78 (1980), 634–639 (1980) Zbl0463.54007MR0601558DOI10.1016/0022-247X(80)90170-5
  11. Nyikos P., Some surprising base properties in Topology, Studies in topology, In: Proc. Conf. Univ. North Carolina, Charlotte, NC 1974, Academic Press, New York 1975, pp. 427–450 (1974) MR0367940
  12. Nyikos P., Some surprising base properties in Topology II, In: Set–theoretic Topology, Inst. Medicine and Mathematics, Ohio Univ., Academic Press, New York 1977, pp. 277–305 (1977) Zbl0397.54004MR0442889

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