Research Article
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Year 2019, Volume: 48 Issue: 3, 800 - 804, 15.06.2019

Abstract

References

  • H. Aktas, Soft sets and soft groups, Inf. Sci. 177, 2726-2735, 2007.
  • M.I. Ali, F. Feng, X.Y.Liu, W.K. Min and M. Shabir On some new operations in soft set theory, Computers and Math. with Appl. 57, 1547-1553, 2009.
  • N. Cagman, S. Karatas and S. Enginoglu, Soft Topology, Comput. Math. Appl. 62, 351-358, 2011.
  • D. Chen, The parametrization reduction of soft sets and its applications, Computers and Math. with Appl. 49, 757-763, 2005.
  • S.R. Dash and S. Dehuri, Soft set and Genetic Algorithms for Association Rule Min- ing: A road map and direction for Hybridization, Springer-Verlag Berlin Heidelberg AISC 199, 381-393, 2013.
  • P. Evanzalin Ebanazar and P. Thangavelu, A Soft topological model for spatial objects with uncertain boundaries, (Submitted).
  • T. Herawan and M.M. Deris, A soft set approach for association rules mining, Knowledge-Based Systems 24, 186-195, 2011.
  • S. Hussain and B. Ahmad, Soft Seperation axioms in soft topological spaces, Hacet. J. Math. Stat. 44 (3), 559-568, 2015.
  • O.H. Khalil and A. Ghareeb, Spatial Modeling in Soft Topology, SJST 37 (4), 493-498, 2015.
  • Z. Kong, L. Gao, L. Wang and S. Li, The normal parameter reduction of soft sets and its algorithm, Comput. Math. Appl. 56, 3029-3037, 2008.
  • S.A. Lashari and R. Ibrahim A Framework for Medical Images Classification Using Soft Set, Procedia Technology 11, 548-556, 2013.
  • X. Ma, N. Sulaiman and J.M. Zain, A new efficient normal parameter reduction algorithm of soft sets, Comput. Math. Appl. 62, 588-598, 2011.
  • P.K. Maji, R. Biswas and R. Roy, An application of soft sets in a decision making problem, Comput. Math. Appl. 44, 1077-1083, 2002.
  • P.K. Maji, R. Biswas and R. Roy, Soft set theory, Comput. Math. Appl. 45, 555-562, 2003.
  • D. Molodtsov, Soft set theory first results, Comput. Math. Appl. 37, 19-31, 1999. [16] M. Shabir and M. Naz, On Soft Topological Spaces, Comput. Math. Appl. 61, 1786- 1799, 2011.
  • V. Tereshko, Development of retinotopy and ocular dominance by soft topology - preserving maps and elastic nets: Deriving one class of the models from another, BICS(Brain Inspired Cognitive Systems)BICS Conference, 1-6, 2004.

A link between topology and soft topology

Year 2019, Volume: 48 Issue: 3, 800 - 804, 15.06.2019

Abstract

Muhammad Shabir and Munazza Naz have shown that every soft topology gives a parametrized family of topologies on a set X. In this paper such a link between topology and soft topology is further discussed.

References

  • H. Aktas, Soft sets and soft groups, Inf. Sci. 177, 2726-2735, 2007.
  • M.I. Ali, F. Feng, X.Y.Liu, W.K. Min and M. Shabir On some new operations in soft set theory, Computers and Math. with Appl. 57, 1547-1553, 2009.
  • N. Cagman, S. Karatas and S. Enginoglu, Soft Topology, Comput. Math. Appl. 62, 351-358, 2011.
  • D. Chen, The parametrization reduction of soft sets and its applications, Computers and Math. with Appl. 49, 757-763, 2005.
  • S.R. Dash and S. Dehuri, Soft set and Genetic Algorithms for Association Rule Min- ing: A road map and direction for Hybridization, Springer-Verlag Berlin Heidelberg AISC 199, 381-393, 2013.
  • P. Evanzalin Ebanazar and P. Thangavelu, A Soft topological model for spatial objects with uncertain boundaries, (Submitted).
  • T. Herawan and M.M. Deris, A soft set approach for association rules mining, Knowledge-Based Systems 24, 186-195, 2011.
  • S. Hussain and B. Ahmad, Soft Seperation axioms in soft topological spaces, Hacet. J. Math. Stat. 44 (3), 559-568, 2015.
  • O.H. Khalil and A. Ghareeb, Spatial Modeling in Soft Topology, SJST 37 (4), 493-498, 2015.
  • Z. Kong, L. Gao, L. Wang and S. Li, The normal parameter reduction of soft sets and its algorithm, Comput. Math. Appl. 56, 3029-3037, 2008.
  • S.A. Lashari and R. Ibrahim A Framework for Medical Images Classification Using Soft Set, Procedia Technology 11, 548-556, 2013.
  • X. Ma, N. Sulaiman and J.M. Zain, A new efficient normal parameter reduction algorithm of soft sets, Comput. Math. Appl. 62, 588-598, 2011.
  • P.K. Maji, R. Biswas and R. Roy, An application of soft sets in a decision making problem, Comput. Math. Appl. 44, 1077-1083, 2002.
  • P.K. Maji, R. Biswas and R. Roy, Soft set theory, Comput. Math. Appl. 45, 555-562, 2003.
  • D. Molodtsov, Soft set theory first results, Comput. Math. Appl. 37, 19-31, 1999. [16] M. Shabir and M. Naz, On Soft Topological Spaces, Comput. Math. Appl. 61, 1786- 1799, 2011.
  • V. Tereshko, Development of retinotopy and ocular dominance by soft topology - preserving maps and elastic nets: Deriving one class of the models from another, BICS(Brain Inspired Cognitive Systems)BICS Conference, 1-6, 2004.
There are 16 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Marimuthu Kiruthika This is me 0000-0001-5406-1907

Periannan Thangavelu 0000-0001-9710-5754

Publication Date June 15, 2019
Published in Issue Year 2019 Volume: 48 Issue: 3

Cite

APA Kiruthika, M., & Thangavelu, P. (2019). A link between topology and soft topology. Hacettepe Journal of Mathematics and Statistics, 48(3), 800-804.
AMA Kiruthika M, Thangavelu P. A link between topology and soft topology. Hacettepe Journal of Mathematics and Statistics. June 2019;48(3):800-804.
Chicago Kiruthika, Marimuthu, and Periannan Thangavelu. “A Link Between Topology and Soft Topology”. Hacettepe Journal of Mathematics and Statistics 48, no. 3 (June 2019): 800-804.
EndNote Kiruthika M, Thangavelu P (June 1, 2019) A link between topology and soft topology. Hacettepe Journal of Mathematics and Statistics 48 3 800–804.
IEEE M. Kiruthika and P. Thangavelu, “A link between topology and soft topology”, Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 3, pp. 800–804, 2019.
ISNAD Kiruthika, Marimuthu - Thangavelu, Periannan. “A Link Between Topology and Soft Topology”. Hacettepe Journal of Mathematics and Statistics 48/3 (June 2019), 800-804.
JAMA Kiruthika M, Thangavelu P. A link between topology and soft topology. Hacettepe Journal of Mathematics and Statistics. 2019;48:800–804.
MLA Kiruthika, Marimuthu and Periannan Thangavelu. “A Link Between Topology and Soft Topology”. Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 3, 2019, pp. 800-4.
Vancouver Kiruthika M, Thangavelu P. A link between topology and soft topology. Hacettepe Journal of Mathematics and Statistics. 2019;48(3):800-4.