WEAK SMOOTH α-STRUCTURE OF SMOOTH TOPOLOGICAL SPACES

Title & Authors
WEAK SMOOTH α-STRUCTURE OF SMOOTH TOPOLOGICAL SPACES
Park, Chun-Kee; Min, Won-Keun; Kim, Myeong-Hwan;

Abstract
In [3] and [6] the concepts of smooth closure, smooth interior, smooth $\small{{\alpha}-closure}$ and smooth $\small{{\alpha}-interior}$ of a fuzzy set were introduced and some of their properties were obtained. In this paper, we introduce the concepts of several types of weak smooth compactness and weak smooth $\small{{\alpha}-compactness}$ in terms of these concepts introduced in [3] and [61 and investigate some of their properties.
Keywords
fuzzy sets;smooth topology;$\small{{\alpha}-closure}$;$\small{{\alpha}-interior}$;weak smooth compactness;weak smooth $\small{{\alpha}-compactness}$;
Language
English
Cited by
1.
Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces, Periodica Mathematica Hungarica, 1996, 33, 2, 83
2.
Coincidence theorems for set-valued mappings and Ekeland's variational principle in fuzzy metric spaces, Fuzzy Sets and Systems, 1996, 79, 2, 239
3.
Coincidence point theorems in generating spaces of quasi-metric family, Fuzzy Sets and Systems, 2000, 116, 3, 471
4.
Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces, Applied Mathematics and Mechanics, 1993, 14, 7, 607
References
1.
First IFSA Congress, 1986.

2.
J. Math. Anal. Appl., 1968. vol.24. pp.182-190

3.
Fuzzy Sets and Systems, 1997. vol.90. pp.83-88

4.
Fuzzy Sets and Systems, 1999. vol.101. pp.185-190

5.
Fuzzy Sets and Systems, 1994. vol.62. pp.193-202

6.
Int. J. Math. Sci. 2003, 2003. 46, pp.2897-2906

7.
Fuzzy Sets and Systems, 1992. vol.48. pp.371-375

8.
Inform. and Control, 1965. vol.8. pp.338-353