Title: IFαGS Continuous and IFαGS Irresolute Mappings
Author(s): M. Jeyaraman, A. Yuvarani, O. Ravi
Pages: 93-103
Cite as:
M. Jeyaraman, A. Yuvarani, O. Ravi, IFαGS Continuous and IFαGS Irresolute Mappings, Int. J. Anal. Appl., 3 (2) (2013), 93-103.


The objective of this paper is to establish intuitionistic fuzzy α-generalized semi continuous mappings and to study some of their properties. Finally we introduce intuitionistic fuzzy α-generalized semi irresolute mappings and investigate their characterizations.

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  1. Atanassov. K. T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1986), 87-96.

  2. Chang. C., Fuzzy topological spaces, J. Math.Anal.Appl., 24(1968), 182-190.

  3. Coker. D., An introduction to fuzzy topological spaces, Fuzzy sets and systems, 88(1997), 81-89.

  4. Gurcay. H., Coker. D.,and Es. A. Haydar., On fuzzy continuity in intuitionistic fuzzy topological spaces, Jour. of Fuzzy Math., 5(1997), 365-378.

  5. Hur. K. and Jun. Y. B., On intuitionistic fuzzy alpha continuous mappings, Honam Math. Jour., 25(2003), 131-139.

  6. Joung Kon Jeon, Young Bae Jun, and Jin Han Park, Intuitionistic fuzzy alpha continuity and intuitionistic fuzzy pre continuity, International Journal of Mathematics and Mathematical Sciences, 19(2005), 3091-3101.

  7. Kalamani. D, Sakthivel. K and Gowri. C. S., Generalized alpha closed sets in intuitionistic fuzzy topological spaces, Applied Mathematical Sciences, 6(2012), 4691-4700.

  8. Rajamani. M and K. Viswanathan, On αgs-continuous maps in topological spaces, Acta Ciencia Indica, XXXI M (1)(2005), 293-303.

  9. Sakthivel. K., Intuitionistic fuzzy alpha generalized closed sets and intuitionistic fuzzy alpha generalized open sets, The Mathematical Education, 4(2012), Submitted.

  10. Sakthivel. K., Intuitionistic fuzzy Alpha Generalized Continuous Mappings and Intuitionistic Alpha Generalized Irresolute Mappings, Applied Mathematical Sciences, 4(37)(2010), 1831- 1834.

  11. Santhi. R and Sakthivel. K., Intuitionistic fuzzy generalized semi continuous mappings, Advances in Theoretical and Applied Mathematics, 5(2009), 73-82.

  12. Santhi. R and Jayanthi. D., Intuitionistic fuzzy generalized semi-pre continuous mappings., Int.J.Contemp.Math.Sciences, 5(30)(2010), 1455-1469.

  13. Thakur. S. S and Rekha Chaturvedi., Generalized closed sets in intuitionistic fuzzy topology, The Journal of Fuzzy Mathematics, 16(2008), 559-572.

  14. Young BaeJin and Seok-Zun Song, Intuitionistic fuzzy semi-pre open sets and Intuitionistic semi-pre continuous mappings, jour. of Appl. Math and computing, 19(2005), 467-474.

  15. Jeyaraman. M, Yuvarani. A and Ravi. O., Intuitionistic fuzzy α-generalized semi closed sets(submitted)

  16. Zadeh. L. A., Fuzzy sets, Information and control, 8(1965), 338-353.