Pure Mathematics for Theoretical Computer Science

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Volume 3 , Issue 2 , PP: 60-71, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

A Review on the Structure of Fuzzy Regular Proper Mappings in Fuzzy Topological Spaces and Their Properties

Murat Ozcek 1 *

  • 1 Gaziantep University, Department of Mathematics, Gaziantep, Turkey - (muratozcek.12@gmail.com)
  • Doi: https://doi.org/10.54216/PMTCS.030205

    Received: June 11, 2023 Revised: September 08, 2023 Accepted: December 25, 2023
    Abstract

     The purpose of this paper is construct the concept of fuzzy regular proper mapping in fuzzy topological spaces. We give some characterization of fuzzy regular compact mapping and fuzzy regular coercive mapping. We study the relation among the concepts of
    fuzzy regular proper mapping, fuzzy regular compact mapping and fuzzy regular coercive mapping and we obtained several properties.

    Keywords :

      , Fuzzy set , regular mapping , Fuzzy topological space , fuzzy subset.

    References

    [1] A. Abu Shadi , (2005) ," On convergence theory for the fuzzy topological spaces and applications " , J . Dml. Cz. Math , 55(130) , 295-316 .

    [2] B. Sik in , (1998) ," On fuzzy FCcompactness " , Korean . Math. Soc , 13(1), 137-150.

    [3] C. L. Chang , (1968) , " Fuzzy topological spaces " , J . Math . Anal . Appl, 24, 182-190 .

    [4] D. L . Foster , (1979)," Fuzzy topological spaces " , J. math . Anal . Appl , 67(2), 549-564.

    [5] L . A. Zadeh , (1965), " fuzzy sets " , Information and control , 8, 338-353 .

    [6] M. H. Rashid and D. M. Ali , (2008), " Sparation axioms in maxed fuzzy topological spaces " Bangladesh , J. Acad. Sce, 32(2), 211-220 .

    [7] Raheed. R.A, (2010), " On fuzzy topological vector spaces ", M. Sce ., Thesis, AL-Baath University

    [8] S. Murugesan and P. Thangavelu, (2008)," Fuzzy pre- semi-closed sets", Bull. Malays. Math. Sci .Soc, (2)31(2), 223-232

    [9] S. P. Sinha, (1991), " Fuzzy normality and some of its weaker forms ", Korean . J. Bull . Soc . Math , 28(1), 89-97 .

    [10] X. Tang, (2004) , "Spatial object modeling in fuzzy topological space", PH . D. dissertation, University of Twente, Netherlands.

     

    Cite This Article As :
    Ozcek, Murat. A Review on the Structure of Fuzzy Regular Proper Mappings in Fuzzy Topological Spaces and Their Properties. Pure Mathematics for Theoretical Computer Science, vol. , no. , 2023, pp. 60-71. DOI: https://doi.org/10.54216/PMTCS.030205
    Ozcek, M. (2023). A Review on the Structure of Fuzzy Regular Proper Mappings in Fuzzy Topological Spaces and Their Properties. Pure Mathematics for Theoretical Computer Science, (), 60-71. DOI: https://doi.org/10.54216/PMTCS.030205
    Ozcek, Murat. A Review on the Structure of Fuzzy Regular Proper Mappings in Fuzzy Topological Spaces and Their Properties. Pure Mathematics for Theoretical Computer Science , no. (2023): 60-71. DOI: https://doi.org/10.54216/PMTCS.030205
    Ozcek, M. (2023) . A Review on the Structure of Fuzzy Regular Proper Mappings in Fuzzy Topological Spaces and Their Properties. Pure Mathematics for Theoretical Computer Science , () , 60-71 . DOI: https://doi.org/10.54216/PMTCS.030205
    Ozcek M. [2023]. A Review on the Structure of Fuzzy Regular Proper Mappings in Fuzzy Topological Spaces and Their Properties. Pure Mathematics for Theoretical Computer Science. (): 60-71. DOI: https://doi.org/10.54216/PMTCS.030205
    Ozcek, M. "A Review on the Structure of Fuzzy Regular Proper Mappings in Fuzzy Topological Spaces and Their Properties," Pure Mathematics for Theoretical Computer Science, vol. , no. , pp. 60-71, 2023. DOI: https://doi.org/10.54216/PMTCS.030205