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Decompositions of fuzzy *g-continuity

Year 2015, Volume: 4 Issue: 8, 47 - 56, 29.05.2015

Abstract

of a weaker form of fuzzy continuity, namely fuzzy *g-continuity,by providing the concepts of fuzzy *gt-sets, fuzzy *gα∗-sets, fuzzy*gt-continuity and fuzzy *gα∗-continuity

References

  • Abd El-Hakeim, K. M.: Generalized semi-continuous mappings in fuzzy topological spaces, J. Fuzzy Math., 7(3)(1999), 577-589.
  • Abd El Monsef, M. E., Rose Mary, S. and Thivagar, M. L.: αˆg-closed sets in topological spaces, Assiut Univ. J. Math. Comp. Sci., 36(1)(2007), 43-51.
  • Azad, K. K.: On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity, J. Math. Anal. Appl., 82(1)(1981), 14-32.
  • Balasubramanian, G. and Sundaram, P.: On some generalizations of fuzzy contin- uous functions, Fuzzy Sets and Systems, 86(1)(1997), 93-100.
  • Benchalli, S. S., Patil, P. G. and Rayabagoudar, T. D.: ωα-closed sets in topological spaces, The Global J. Appl. Math. Math. Sci., 2(1-2)(2009), 53-63.
  • Bin Shahna, A. S.: On fuzzy strong semicontinuity and fuzzy precontinuity, Fuzzy Sets and Systems, 44(2)(1991), 303-308.
  • Chang, C. L.: Fuzzy topological spaces, J. Math. Anal. Appl., 24(1968), 182-193.
  • Hatir, E., Noiri, T. and Yuksel, S.: A decomposition of continuity, Acta Math. Hungar., 70(1-2)(1996), 145-150.
  • Jafari, S., Noiri, T., Viswanathan, K. and Rajamani, M.: Decompositions of ω- continuity in topological spaces, J. Adv. Math. Studies, 3(2)(2010), 49-55.
  • Lellis Thivagar, M. and Rose Mary, S.: On αˆg-continuous functions in topological spaces, communicated. Levine, N.: A decomposition of continuity in topological spaces, Amer. Math. Monthly, 68(1961), 44-46.
  • Levine, N.: Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
  • Mashhour, A. S., Abd El-Monsef, M. E. and El-Deeb, S. N.: On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt, 53(1982), 47-53.
  • Mashhour, A. S., Hasanein, I. A. and El-Deeb, S. N.: α-continuous and α-open mappings, Acta Math. Hungar., 41(1983), 213-218.
  • Njastad, O.: On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-9
  • Noiri, T., Rajamani, M. and Sundaram, P.: A decomposition of a weaker form of continuity, Acta Math. Hungar., 93(1-2)(2001), 109-114.
  • Palaniappan, N., Antony Rex Rodrigo, J. and Pious Missier, S.: On ˆη-closed sets in topological spaces, submitted. Rajamani, M. and Inthumathi, V.: A decomposition of a weaker form of fuzzy continuity, Preprint. Rajamani, M. and Sheik John, M.: A decomposition of generalized fuzzy continu- ity, Acta Ciencia Indica, Vol. XXVIIIM, 2(2002), 227-228.
  • Ravi, O., Chandra Sekar, S. and Ramkumar, G.: Decomposition of α-continuity and α*g-continuity, International Journal of Advances in Pure and Applied Math- ematics, 1(4)(2011), 58-67.
  • Ravi, O., Rajalakshmi, J., Vidhya Priya, M. and Poovazhaki, R.: Decomposition of fuzzy α-continuity and fuzzy αˆg-continuity, Submitted. Rose, D.: On Levine’s decomposition of continuity, Canad. Math. Bull., 21(1978), 477-4
  • Sheik John, M. and Sundaram, P.: On decomposition of continuity, Bull. Allahabad Math. Soc., 22(2007), 1-9.
  • Tong, J.: A decomposition of continuity, Acta Math. Hungar., 48(1986), 11-15.
  • Tong, J.: On decomposition of continuity in topological spaces, Acta Math. Hun- gar., 54(1989), 51-55.
  • Tong, J.: A decomposition of fuzzy continuity, Fuzzy Math., 7(1987), 97-98.
  • Veerakumar, M. K. R. S.: ˆg-closed sets in topological spaces, Bull. Allahabad Math. Soc., 18(2003), 99-112.
  • Veerakumar, M. K. R. S.: Between g*-closed sets and g-closed sets, Antarctica Journal of Mathematics, Reprint. Veerakumar, M. K. R. S.: µp-closed sets in topological spaces, Antarctica Journal of Mathematics, 2(1)(2005), 31-52.
  • Veerakumar, M. K. R. S.: ˆg-locally closed sets and ˆ GLC-functions, Indian Journal of Mathematics, 43(2)(2001), 231-247.
  • Zadeh, L. A.: Fuzzy sets, Information and Control, 8(1965), 338-353.
Year 2015, Volume: 4 Issue: 8, 47 - 56, 29.05.2015

Abstract

References

  • Abd El-Hakeim, K. M.: Generalized semi-continuous mappings in fuzzy topological spaces, J. Fuzzy Math., 7(3)(1999), 577-589.
  • Abd El Monsef, M. E., Rose Mary, S. and Thivagar, M. L.: αˆg-closed sets in topological spaces, Assiut Univ. J. Math. Comp. Sci., 36(1)(2007), 43-51.
  • Azad, K. K.: On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity, J. Math. Anal. Appl., 82(1)(1981), 14-32.
  • Balasubramanian, G. and Sundaram, P.: On some generalizations of fuzzy contin- uous functions, Fuzzy Sets and Systems, 86(1)(1997), 93-100.
  • Benchalli, S. S., Patil, P. G. and Rayabagoudar, T. D.: ωα-closed sets in topological spaces, The Global J. Appl. Math. Math. Sci., 2(1-2)(2009), 53-63.
  • Bin Shahna, A. S.: On fuzzy strong semicontinuity and fuzzy precontinuity, Fuzzy Sets and Systems, 44(2)(1991), 303-308.
  • Chang, C. L.: Fuzzy topological spaces, J. Math. Anal. Appl., 24(1968), 182-193.
  • Hatir, E., Noiri, T. and Yuksel, S.: A decomposition of continuity, Acta Math. Hungar., 70(1-2)(1996), 145-150.
  • Jafari, S., Noiri, T., Viswanathan, K. and Rajamani, M.: Decompositions of ω- continuity in topological spaces, J. Adv. Math. Studies, 3(2)(2010), 49-55.
  • Lellis Thivagar, M. and Rose Mary, S.: On αˆg-continuous functions in topological spaces, communicated. Levine, N.: A decomposition of continuity in topological spaces, Amer. Math. Monthly, 68(1961), 44-46.
  • Levine, N.: Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
  • Mashhour, A. S., Abd El-Monsef, M. E. and El-Deeb, S. N.: On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt, 53(1982), 47-53.
  • Mashhour, A. S., Hasanein, I. A. and El-Deeb, S. N.: α-continuous and α-open mappings, Acta Math. Hungar., 41(1983), 213-218.
  • Njastad, O.: On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-9
  • Noiri, T., Rajamani, M. and Sundaram, P.: A decomposition of a weaker form of continuity, Acta Math. Hungar., 93(1-2)(2001), 109-114.
  • Palaniappan, N., Antony Rex Rodrigo, J. and Pious Missier, S.: On ˆη-closed sets in topological spaces, submitted. Rajamani, M. and Inthumathi, V.: A decomposition of a weaker form of fuzzy continuity, Preprint. Rajamani, M. and Sheik John, M.: A decomposition of generalized fuzzy continu- ity, Acta Ciencia Indica, Vol. XXVIIIM, 2(2002), 227-228.
  • Ravi, O., Chandra Sekar, S. and Ramkumar, G.: Decomposition of α-continuity and α*g-continuity, International Journal of Advances in Pure and Applied Math- ematics, 1(4)(2011), 58-67.
  • Ravi, O., Rajalakshmi, J., Vidhya Priya, M. and Poovazhaki, R.: Decomposition of fuzzy α-continuity and fuzzy αˆg-continuity, Submitted. Rose, D.: On Levine’s decomposition of continuity, Canad. Math. Bull., 21(1978), 477-4
  • Sheik John, M. and Sundaram, P.: On decomposition of continuity, Bull. Allahabad Math. Soc., 22(2007), 1-9.
  • Tong, J.: A decomposition of continuity, Acta Math. Hungar., 48(1986), 11-15.
  • Tong, J.: On decomposition of continuity in topological spaces, Acta Math. Hun- gar., 54(1989), 51-55.
  • Tong, J.: A decomposition of fuzzy continuity, Fuzzy Math., 7(1987), 97-98.
  • Veerakumar, M. K. R. S.: ˆg-closed sets in topological spaces, Bull. Allahabad Math. Soc., 18(2003), 99-112.
  • Veerakumar, M. K. R. S.: Between g*-closed sets and g-closed sets, Antarctica Journal of Mathematics, Reprint. Veerakumar, M. K. R. S.: µp-closed sets in topological spaces, Antarctica Journal of Mathematics, 2(1)(2005), 31-52.
  • Veerakumar, M. K. R. S.: ˆg-locally closed sets and ˆ GLC-functions, Indian Journal of Mathematics, 43(2)(2001), 231-247.
  • Zadeh, L. A.: Fuzzy sets, Information and Control, 8(1965), 338-353.
There are 26 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

O. Ravi This is me

M.Vidhya Priyac This is me

Publication Date May 29, 2015
Published in Issue Year 2015 Volume: 4 Issue: 8

Cite

APA Ravi, O., & Priyac, M. (2015). Decompositions of fuzzy *g-continuity. Journal of New Results in Science, 4(8), 47-56.
AMA Ravi O, Priyac M. Decompositions of fuzzy *g-continuity. JNRS. August 2015;4(8):47-56.
Chicago Ravi, O., and M.Vidhya Priyac. “Decompositions of Fuzzy *g-Continuity”. Journal of New Results in Science 4, no. 8 (August 2015): 47-56.
EndNote Ravi O, Priyac M (August 1, 2015) Decompositions of fuzzy *g-continuity. Journal of New Results in Science 4 8 47–56.
IEEE O. Ravi and M. Priyac, “Decompositions of fuzzy *g-continuity”, JNRS, vol. 4, no. 8, pp. 47–56, 2015.
ISNAD Ravi, O. - Priyac, M.Vidhya. “Decompositions of Fuzzy *g-Continuity”. Journal of New Results in Science 4/8 (August 2015), 47-56.
JAMA Ravi O, Priyac M. Decompositions of fuzzy *g-continuity. JNRS. 2015;4:47–56.
MLA Ravi, O. and M.Vidhya Priyac. “Decompositions of Fuzzy *g-Continuity”. Journal of New Results in Science, vol. 4, no. 8, 2015, pp. 47-56.
Vancouver Ravi O, Priyac M. Decompositions of fuzzy *g-continuity. JNRS. 2015;4(8):47-56.


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