A contribution to fuzzy subspaces

Authors

  • Miguel Alamar Universitat Politècnica de València
  • Vicente D. Estruch Universitat Politècnica de València

DOI:

https://doi.org/10.4995/agt.2002.2107

Keywords:

Fuzzy connectedness, Fuzzy topology, Q-neighborhood

Abstract

We give a new concept of fuzzy topological subspace, which extends the usual one, and study in it the related concepts of interior, closure and conectedness.

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Author Biographies

Miguel Alamar, Universitat Politècnica de València

Dep. de Matematica Aplicada

Escuela Politecnica Superior de Gandia

Vicente D. Estruch, Universitat Politècnica de València

Dep. de Matematica Aplicada

Escuela Politecnica Superior de Gandia

References

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Z. Deng, Fuzzy pseudo-metric spaces, J. Math. Anal. Appl. 86 (1982), 74-95. https://doi.org/10.1016/0022-247X(82)90255-4

W. Guojun, A new fuzzy compactness defined by fuzzy sets, J. Math. Anal. Appl. 94 (1983), 1-23. https://doi.org/10.1016/0022-247X(83)90002-1

P.M. Pu, Y.M. Liu, Fuzzy Topology. I: Neighborhood stucture of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl. 76 (1980), 571-599. https://doi.org/10.1016/0022-247X(80)90048-7

P.M. Pu, Y.M. Liu, Fuzzy topology. II: Product and quotient spaces, J. Math. Anal. Appl. 77 (1980), 20-37. https://doi.org/10.1016/0022-247X(80)90258-9

A.P. Shostak, Two decades of fuzzy topology: basic ideas, notions and results, Russian Math. Surveys, 44: 6 (1989), 125-186.

https://doi.org/10.1070/RM1989v044n06ABEH002295

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Published

2002-04-01

How to Cite

[1]
M. Alamar and V. D. Estruch, “A contribution to fuzzy subspaces”, Appl. Gen. Topol., vol. 3, no. 1, pp. 13–23, Apr. 2002.

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Articles