ASPG Menu
search

American Scientific Publishing Group

verified Journal

Pure Mathematics for Theoretical Computer Science

ISSN
Online: 2995-3162
Frequency

Continuous publication

Publication Model

Open access journal. All articles are freely available online with no APC.

Pure Mathematics for Theoretical Computer Science
Full Length Article

Volume 3Issue 2PP: 60-71 • 2023

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

Murat Ozcek 1*
1Gaziantep University, Department of Mathematics, Gaziantep, Turkey
* Corresponding Author.
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

&nbsp 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

Choose your preferred format

format_quote
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. Volume 3, no. Issue 2, 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, Volume 3(Issue 2), 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 Volume 3, no. Issue 2 (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, Volume 3(Issue 2), pp. 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. 2023;Volume 3(Issue 2):60-71. DOI: https://doi.org/10.54216/PMTCS.030205
M. Ozcek, "A Review on the Structure of Fuzzy Regular Proper Mappings in Fuzzy Topological Spaces and Their Properties," Pure Mathematics for Theoretical Computer Science, vol. Volume 3, no. Issue 2, pp. 60-71, 2023. DOI: https://doi.org/10.54216/PMTCS.030205
Digital Archive Ready