Research Article

Year 2017,
Volume: 14 Issue: 1, - , 01.05.2017
### Abstract

### References

- [1] L. A. Zadeh, Fuzzy Sets, Inform. Control, 8, (1965), 338–353.
- [2] E. L. Chang, Fuzzy Topologyical Spaces, J. Math. Anal. Appl., 24, (1968), 182-190.
- [3] R. Lowen, Fuzzy Topological Spaces and Fuzzy Compactness, J. Math, Anal. Appl., 56, (1979), 621-633.
- [4] B. Hutton, Products of Fuzzy Topological Space, Top. Appl., 11, (1980), 59-67.
- [5] A. P. Shostak, On a Fuzzy Topological Structure, Rendiconti del Ciecolo Matematico di Palermo Ser II, 11, (1985),89-103.
- [6] I. Ibedou, Graded Fuzzy Topological Spaces, Cogent Math., 3, (2016), 1138574.
- [7] K. C. Chattopadhyay, R. N. Hazra, S. K. Samanta, Gradation of Openness: Fuzzy Topology, Fuzzy Sets andSystems, 49(2), (1992), 234–242.
- [8] K. C. Chattopadhyay, S. K. Samanta, Fuzzy Topology, Fuzzy Closure, Fuzzy Compactness and Fuzzy Connectedness,Fuzzy Sets and Systems, 54(2), (1993), 207–212.
- [9] V. Gregori, A. Vidal, Fuzziness in Chang’s Fuzzy Topological Spaces, Rend. Istit. Mat. Univ. Trieste, XXX,(1999), 111-121.
- [10] M. K. EL-Gayyar, E. E. Kerre, A.A. Ramadan, On Smooth Topological Spaces II: Separation Axioms, Fuzzy Setsand Systems, 119(3), (2001), 495–504.
- [11] S. S. Benchalli, G. P. Siddapur, On the Level Spaces of Fuzzy Topological Spaces, Bulletin of Math. Anal. Appl.1(2), (2009), 57-65.
- [12] J. Taleshi, New Fuzzy Topology, MSc thesis, Vali Asr University of Rafsanjan, Iran, (2007).

Year 2017,
Volume: 14 Issue: 1, - , 01.05.2017
### Abstract

### References

In this manuscript, we use a specific definition of a fuzzy topological space. We define some basis

structures of this topology and survey properties of them such as the concepts of F-closure, F-interior and

F-limited points of a fuzzy subset of a topological space. Moreover, we redefine the concepts of the basis

and subbasis of this topology and discuss about continuous related functions and prove some theorems about

them.

- [1] L. A. Zadeh, Fuzzy Sets, Inform. Control, 8, (1965), 338–353.
- [2] E. L. Chang, Fuzzy Topologyical Spaces, J. Math. Anal. Appl., 24, (1968), 182-190.
- [3] R. Lowen, Fuzzy Topological Spaces and Fuzzy Compactness, J. Math, Anal. Appl., 56, (1979), 621-633.
- [4] B. Hutton, Products of Fuzzy Topological Space, Top. Appl., 11, (1980), 59-67.
- [5] A. P. Shostak, On a Fuzzy Topological Structure, Rendiconti del Ciecolo Matematico di Palermo Ser II, 11, (1985),89-103.
- [6] I. Ibedou, Graded Fuzzy Topological Spaces, Cogent Math., 3, (2016), 1138574.
- [7] K. C. Chattopadhyay, R. N. Hazra, S. K. Samanta, Gradation of Openness: Fuzzy Topology, Fuzzy Sets andSystems, 49(2), (1992), 234–242.
- [8] K. C. Chattopadhyay, S. K. Samanta, Fuzzy Topology, Fuzzy Closure, Fuzzy Compactness and Fuzzy Connectedness,Fuzzy Sets and Systems, 54(2), (1993), 207–212.
- [9] V. Gregori, A. Vidal, Fuzziness in Chang’s Fuzzy Topological Spaces, Rend. Istit. Mat. Univ. Trieste, XXX,(1999), 111-121.
- [10] M. K. EL-Gayyar, E. E. Kerre, A.A. Ramadan, On Smooth Topological Spaces II: Separation Axioms, Fuzzy Setsand Systems, 119(3), (2001), 495–504.
- [11] S. S. Benchalli, G. P. Siddapur, On the Level Spaces of Fuzzy Topological Spaces, Bulletin of Math. Anal. Appl.1(2), (2009), 57-65.
- [12] J. Taleshi, New Fuzzy Topology, MSc thesis, Vali Asr University of Rafsanjan, Iran, (2007).

There are 12 citations in total.

Subjects | Engineering |
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Journal Section | Articles |

Authors | |

Publication Date | May 1, 2017 |

Published in Issue | Year 2017 Volume: 14 Issue: 1 |