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Some Generalized Fuzzy Continuous Functions

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Proceedings of Fourth International Conference on Soft Computing for Problem Solving

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

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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.

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References

  1. Levine, N.: Generalized closed sets in topology. Rend. Circ. Mat. Palemore 19, 89–96 (1970)

    Article  MATH  Google Scholar 

  2. Balasubramanian, G., Sundaram, P.: On some generalizations of fuzzy continuous functions. Fuzzy Sets Syst. 86, 93–100 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  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. Mukherjee, M.N., Sinha, S.P.: Irresolute and almost open functions between fuzzy topological spaces. Fuzzy Sets Syst. 29, 381–388 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  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. Zadeh, L.A.: Fuzzy sets. Inf. Control 11, 341–356 (1965)

    MathSciNet  Google Scholar 

  7. Chang, C.L.: Fuzzy topological spaces. J. Math. Anal. Appl. 24, 182–190 (1968)

    Article  MATH  MathSciNet  Google Scholar 

  8. Azad, K.K.: On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity. J. Math. Anal. Appl. 82, 14–32 (1981)

    Article  MATH  MathSciNet  Google Scholar 

  9. Lowen, R.: Fuzzy topological spaces and fuzzy compactness. J. Math. Anal. Appl. 56, 621–633 (1976)

    Article  MATH  MathSciNet  Google Scholar 

  10. Abd El-Hakeim, E.M.: Generalized semi-continuous mappings in fuzzy topological spaces. J. Fuzzy Math. 3, 577–589 (1999)

    MathSciNet  Google Scholar 

  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)

    MathSciNet  Google Scholar 

  12. Thakur, S.S., Singh, S.: On fuzzy semi-preopen sets and fuzzy semi-pre continuity. Fuzzy Sets Syst. 98, 383–391 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  13. Warren, R.H.: Continuity of mappings on fuzzy topological spaces. Not. Am. Math. Soc. 21, 400–451 (1974)

    Google Scholar 

  14. Warren, R.H.: Neighborhoods, bases and continuity of fuzzy topological spaces. Rocky Mt. J. Math. 8, 459–470 (1978)

    Article  MATH  MathSciNet  Google Scholar 

  15. Paul, N.: Applications of continuous functions in topological CAD data, arXiv:1308.0256v1 [cs.CG], 1 Aug 2013

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, NIT Silchar, Assam, 788010, India

    J. Mahanta

  2. Department of Mathematics, NERIST, Arunachal Pradesh, 791109, India

    P. K. Das

Authors
  1. J. Mahanta
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  2. P. K. Das
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Corresponding author

Correspondence to J. Mahanta .

Editor information

Editors and Affiliations

  1. Mathematics, National Institute of Technology Silchar, Silchar, Assam, India

    Kedar Nath Das

  2. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Kusum Deep

  3. Department of Paper Technology, Indian Institute of Technology Roorkee, Roorkee, India

    Millie Pant

  4. South Asian University, New Delhi, India

    Jagdish Chand Bansal

  5. Department of Computer Science, Liverpool Hope University, Liverpool, United Kingdom

    Atulya Nagar

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Mahanta, J., Das, P.K. (2015). Some Generalized Fuzzy Continuous Functions. In: Das, K., Deep, K., Pant, M., Bansal, J., Nagar, A. (eds) Proceedings of Fourth International Conference on Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 336. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2220-0_45

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  • DOI: https://doi.org/10.1007/978-81-322-2220-0_45

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2219-4

  • Online ISBN: 978-81-322-2220-0

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