Semi θ-compactness in intuitionistic fuzzy topological spaces

  • I. M. Hanafy Suez Canal University.
  • A. M. Abd El-Aziz Suez Canal University.
  • T. M. Salman Suez Canal University.
Palabras clave: Intuitionistic fuzzy set, Intuitionistic fuzzy topological space, Intuitionistic fuzzy semi θ-compact, conjunto intuitivamente difuso, espacio topológico intuitivamente difuso, semi θ-compacto intuitivamente difuso.

Resumen

The purpose of this paper is to construct the concept of semi θ-compactness in intuitionistic fuzzy topological spaces. We give some characterizations of semi θ-compactness, locally semi θ-compactness. A comparison between these concepts and some other types of compactness in intuitionistic fuzzy topological spaces are established.

Biografía del autor

I. M. Hanafy, Suez Canal University.
Faculty of Education.Department of Mathematics.
A. M. Abd El-Aziz, Suez Canal University.
Faculty of Education.Department of Mathematics.
T. M. Salman, Suez Canal University.
Faculty of Education.Department of Mathematics.

Citas

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[2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20, pp. 87-96, (1986).

[3] D. Coker , An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 88, pp. 81-89, (1997).44 I. M. Hanafy, A. M. Abd El Aziz and T. M. Salman

[4] D. Coker , An introduction to fuzzy subspaces in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 4 (2), pp. 749-764, (1976).

[5] D. Coker and A. H. Es. On fuzzy compactness in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 3 (4), pp. 899-909, (1995).

[6] D. Coker and M. Demirci, On intuitionistic fuzzy points, NIFS 1, pp. 79-84, (1995).

[7] H. Gurcay, D.Coker and A.H.Es, On fuzzy continuity in intuitionistic fuzzy topological spaces, J.Fuzzy Math. 5(2), pp. 365-378, (1997).

[8] I. M. Hanafy, Completely continuous functions in intuitionistic fuzzy topological spaces, Czechoslovak Math. J. 53(4), pp. 793-803, (2003).

[9] I. M. Hanafy, A. M. Abd El Aziz and T. M. Salman, Intuitionistic fuzzy θ−closure operator, to appear

[10] I. M. Hanafy, A. M. Abd El Aziz and T. M. Salman, Semi θ−continuity in intuitionistic fuzzy topological spaces, to appear

[11] L. A. Zadeh ,Fuzzy sets, Infor. and Control 9, pp. 338-353, (1965).
Publicado
2017-05-08
Cómo citar
Hanafy, I., Abd El-Aziz, A., & Salman, T. (2017). Semi θ-compactness in intuitionistic fuzzy topological spaces. Proyecciones. Revista De Matemática, 25(1), 31-45. https://doi.org/10.4067/S0716-09172006000100003
Sección
Artículos