Year 2019,
Volume: 48 Issue: 3, 800 - 804, 15.06.2019
Marimuthu Kiruthika
Periannan Thangavelu
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
Marimuthu Kiruthika
Periannan Thangavelu
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.