Some Generalized Fuzzy Continuous Functions

Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 336)

Abstract

In spatial data modeling, the topological notion “continuous function” can link the spatial data with the modeled real world. In this article, we study fuzzy weakly continuous function and fuzzy weakly irresolute functions from set theoretic point of view. These generalizations of continuous functions in fuzzy setting will bring new practically relevant models in image processing.

Keywords

Fuzzy weakly-closed set Continuous functions Irresolute functions 

References

  1. 1.
    Levine, N.: Generalized closed sets in topology. Rend. Circ. Mat. Palemore 19, 89–96 (1970)CrossRefMATHGoogle Scholar
  2. 2.
    Balasubramanian, G., Sundaram, P.: On some generalizations of fuzzy continuous functions. Fuzzy Sets Syst. 86, 93–100 (1997)CrossRefMATHMathSciNetGoogle Scholar
  3. 3.
    Mahanta, J., Das, P.K.: On fuzzy weakly-closed sets. Int. J. Math. Comput. Phys. Quant. Eng. 7(2), 61–66 (2013)Google Scholar
  4. 4.
    Mukherjee, M.N., Sinha, S.P.: Irresolute and almost open functions between fuzzy topological spaces. Fuzzy Sets Syst. 29, 381–388 (1989)CrossRefMATHMathSciNetGoogle Scholar
  5. 5.
    Pastore, J., Bouchet, A., Moler, E., Ballarin, V.: Topological Concepts applied to Digital Image Processing. J Comput. Sci. Technol. 6(2), 80–84 (2006)Google Scholar
  6. 6.
    Zadeh, L.A.: Fuzzy sets. Inf. Control 11, 341–356 (1965)MathSciNetGoogle Scholar
  7. 7.
    Chang, C.L.: Fuzzy topological spaces. J. Math. Anal. Appl. 24, 182–190 (1968)CrossRefMATHMathSciNetGoogle Scholar
  8. 8.
    Azad, K.K.: On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity. J. Math. Anal. Appl. 82, 14–32 (1981)CrossRefMATHMathSciNetGoogle Scholar
  9. 9.
    Lowen, R.: Fuzzy topological spaces and fuzzy compactness. J. Math. Anal. Appl. 56, 621–633 (1976)CrossRefMATHMathSciNetGoogle Scholar
  10. 10.
    Abd El-Hakeim, E.M.: Generalized semi-continuous mappings in fuzzy topological spaces. J. Fuzzy Math. 3, 577–589 (1999)MathSciNetGoogle Scholar
  11. 11.
    Abd El-Monsef, M.E., El-Deeb, S.N., Mahmoud, R.A.: β-open sets and β-continuous mappings. Bull. Fac. Sci. Assiut Univ. 12, 77–90 (1983)MathSciNetGoogle Scholar
  12. 12.
    Thakur, S.S., Singh, S.: On fuzzy semi-preopen sets and fuzzy semi-pre continuity. Fuzzy Sets Syst. 98, 383–391 (1998)CrossRefMATHMathSciNetGoogle Scholar
  13. 13.
    Warren, R.H.: Continuity of mappings on fuzzy topological spaces. Not. Am. Math. Soc. 21, 400–451 (1974)Google Scholar
  14. 14.
    Warren, R.H.: Neighborhoods, bases and continuity of fuzzy topological spaces. Rocky Mt. J. Math. 8, 459–470 (1978)CrossRefMATHMathSciNetGoogle Scholar
  15. 15.
    Paul, N.: Applications of continuous functions in topological CAD data, arXiv:1308.0256v1 [cs.CG], 1 Aug 2013Google Scholar

Copyright information

© Springer India 2015

Authors and Affiliations

  1. 1.Department of MathematicsNIT SilcharAssamIndia
  2. 2.Department of MathematicsNERISTArunachal PradeshIndia

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