On δ- lower semi precontinuous functions

Dr. Runu Dhar

doi:https://doi.org/10.14445/22315373/IJMTT-V47P529

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 47 | Number 3 | Year 2017 | Article Id. IJMTT-V47P529 | DOI : https://doi.org/10.14445/22315373/IJMTT-V47P529

On δ- lower semi precontinuous functions

Dr. Runu Dhar

Abstract

In this paper, the concept of δ- lower semi precontinuous functions is to be introduced. Some characterization theorems and their basic properties are also to be investigated. It is note that δ- lower semi precontinuous functions play an important role in defining δ - preinduced fuzzy supra topological spaces. The connection between the δ- preinduced fuzzy supra topology and its corresponding topological space is to be studied. The relationship between δ- preinduced fuzzy supra topological spaces and that of the induced fuzzy topological spaces due to Lon owen are to be investigated. Lastly some applications are to be shown.

Keywords

δ- lower semi precontinuous function, induced fuzzy topological spaces, δ- induced fuzzy topological spaces, δ- preinduced fuzzy topological spaces.

References

1. M. E. Abd El-Monsef and A. E. Ramandan, Fuzzy supra topological spaces, Indian J. Pure and Appl. Math., 18 (1987) 322-329.
2. R. N. Bhaumik and A. Mukherjee, Completely induced fuzzy topological spaces, Fuzzy Sets and Systems, 47 (1992) 387-390.
3. R. N. Bhaumik and A. Mukherjee, Induced fuzzy supra topological spaces, Fuzzy Sets and Systems, 91 (1997) 121-126. 4. C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1968) 182-190.
5. S. Ray Chaudhuri and M. N. Mukherjee, δ - almost continuity and δ - preopen sets, Bulletin of the Institute of Mathematics Academia Sinica, 21(4) (1993).
6. Wang Geping and Hu Lanfang, Induced fuzzy topological spaces, J. Math. Anal. Appl., 108 (1985) 495-506.
7. N. Levin, Semiopen sets and semicontinuity in topological space, Amer. Math. Monthly 70 (1963) 36-41.
8. R. Lowen, Fuzzy topological spaces and fuzzy compactness, J. Math. Anal. Appl., 56 (1975) 621-633.
9. A. S. Masshour, M. E. Abd El. Monsef and S. N. El. Deeb, Precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt, 53 (1982) 47-53.
10. Hu Chang Ming, Fuzzy topological spaces, J. Math. Anal. Appl., 118 (1985) 141-178.
11. A. Mukherjee, Preinduced fuzzy supra topological spaces and the corresponding p-initial spaces, J. Tri. Math. Soc., 3 (2001) 69-75.
12. A. Mukherjee and S. Halder, δ - induced fuzzy topological spaces, Proc. Nat. Sem. On Recent Trends in Maths & its Appl., April 28-29 (2003) 177-182.
13. T. Noiri, δ - continuous functions, J. Korean Math. Soc., 16 (1986) 161-166.
14. R. K. Saraf and S. K. Gupta, δ - semi preopen sets, the Bulletin, GUMA 5 (1998) 89-93.
15. N. V. Velicko, H-closed topological space, Amer. Math. Soc. Transl 78 (1968) 103-118.
16. M. D. Weiss Fixed Points, Separation and induced topologies for fuzzy sets, J. Math. Anal. Appl., 50 (1975) 142-150.

Citation :

Dr. Runu Dhar, "On δ- lower semi precontinuous functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 47, no. 3, pp. 221-224, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V47P529