On Soft Almost Paracompactness in Soft Topological Space

Authors(1) :-Bishnupada Debnath

Recently, the author [25] introduced a new class spaces namely, soft nearly paracompact spaces and established some characterizations of these spaces. In this work, some new notions in soft space such as soft -almost regular spaces, soft almost paracompact spaces and soft -almost paracompact spaces are introduced. We also investigate some basic properties of these concepts and obtain several interesting results and characterizations of soft nearly compact and nearly paracompact spaces.

Authors and Affiliations

Bishnupada Debnath
Department of Mathematics, Tripura University, Suryamaninagar, Agartala, Tripura, India

Soft a-almost regular spaces, soft semi-regular spaces, soft almost paracompact spaces, soft -almost paracompact spaces.

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Publication Details

Published in : Volume 3 | Issue 7 | September-October 2017
Date of Publication : 2017-10-31
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 555-561
Manuscript Number : IJSRST173793
Publisher : Technoscience Academy

Print ISSN : 2395-6011, Online ISSN : 2395-602X

Cite This Article :

Bishnupada Debnath, " On Soft Almost Paracompactness in Soft Topological Space", International Journal of Scientific Research in Science and Technology(IJSRST), Print ISSN : 2395-6011, Online ISSN : 2395-602X, Volume 3, Issue 7, pp.555-561, September-October-2017.
Journal URL : https://ijsrst.com/IJSRST173793
Citation Detection and Elimination     |      | |http://arxiv.org /abs/1312.6964V1[Math.GN] 25 Dec 2013.
  • Maji, P.K., Biswas, R., Roy, A.R.: Soft set theory. Comput. Math. Appl. 45, 555?562 (2003).
  • Ali, M.I., Feng, F., Liu, X., Min, W.K., Shabir, M.: On some new operations in soft set theory. Comput. Math. Appl. 57, 1547?1553 (2009).
  • Arockiarani, I., Arokialancy, A.: Generalized soft gb-closed sets and soft gsb-closed sets in soft topological spaces. Int. J. Math.? Arch. 4(2), 1?7 (2013).
  • Kharal A., Ahmad B.: Mappings on soft classes. New Math. Nat. Comput. 7(3), 471?481 (2011).
  • Zorlutana, I., Akdag M., Min W.K., Atmaca S.: Remarks on Soft Topological Spaces. Annals of Fuzzy Mathematics and Informatics. 3(2),171-185(2012).
  • Debnath, B.: On soft Maximal d-open (Minimal soft d-closed) Sets in Soft topological Spaces, International Journal of Computer Applications (Accepted).
  • ?Kharal, A., Ahmad, B.: Mappings on soft classes. New Math. Nat. Comput. 7(3), 471?481 (2011).
  • ?Z. Xiao, L. Chen, B. Zhong, S. Ye: Recognition for soft information based on the theory of soft sets? in: J. Chen (Ed.),
  • Proceedings of ICSSSM-05, vol. 2, IEEE, 2005, pp. 1104-1106.
  • D. Pei, D. Miao: From soft sets to information systems, in: X. Hu, Q. Liu, A. Skowron, T.Y. Lin, R.R. Yager, B. Zhang (Eds.), Proceedings of Granular Computing, vol. 2, IEEE, 2005, pp. 617-621.
  • L. A. Zadeh, “Fuzzy Sets”, Inform. Control., Vol. 8, 1965, pp. 338-353.
  • ?Z. Pawlak, “Rough Sets”, Int. Journal of Computer and Information Sciences, Vol. 11, 1982, pp. 341-356.
  • M.K. Singal and A. Mathur, On Nearly compact Spaces-II, Bull. U. M. Ital. 4(9), 1974, pp 669-678.
  • M.K. Singal and S.P. Arya, On Nearly paracompact Spaces, Matematicki Vesnik 6(21), 1969, pp 3-16.
  • F. Lin, Soft Connected Space and Soft Paracompact Spaces, Int. J. Math., Computational, Physical, Electrical and Computer Engineering, Vol.7, No.2, 2013.
  • Debnath B.: On soft nearly compact and soft nearly paracompactness in Soft topological Spaces, International Journal of? Innovative Research in Science, Engineering and Technology , Vol.6, No. 8,pp 15906-15914, August, 2017.
  • " target="_blank"> BibTeX | http://arxiv.org /abs/1312.6964V1[Math.GN] 25 Dec 2013.
  • Maji, P.K., Biswas, R., Roy, A.R.: Soft set theory. Comput. Math. Appl. 45, 555?562 (2003).
  • Ali, M.I., Feng, F., Liu, X., Min, W.K., Shabir, M.: On some new operations in soft set theory. Comput. Math. Appl. 57, 1547?1553 (2009).
  • Arockiarani, I., Arokialancy, A.: Generalized soft gb-closed sets and soft gsb-closed sets in soft topological spaces. Int. J. Math.? Arch. 4(2), 1?7 (2013).
  • Kharal A., Ahmad B.: Mappings on soft classes. New Math. Nat. Comput. 7(3), 471?481 (2011).
  • Zorlutana, I., Akdag M., Min W.K., Atmaca S.: Remarks on Soft Topological Spaces. Annals of Fuzzy Mathematics and Informatics. 3(2),171-185(2012).
  • Debnath, B.: On soft Maximal d-open (Minimal soft d-closed) Sets in Soft topological Spaces, International Journal of Computer Applications (Accepted).
  • ?Kharal, A., Ahmad, B.: Mappings on soft classes. New Math. Nat. Comput. 7(3), 471?481 (2011).
  • ?Z. Xiao, L. Chen, B. Zhong, S. Ye: Recognition for soft information based on the theory of soft sets? in: J. Chen (Ed.),
  • Proceedings of ICSSSM-05, vol. 2, IEEE, 2005, pp. 1104-1106.
  • D. Pei, D. Miao: From soft sets to information systems, in: X. Hu, Q. Liu, A. Skowron, T.Y. Lin, R.R. Yager, B. Zhang (Eds.), Proceedings of Granular Computing, vol. 2, IEEE, 2005, pp. 617-621.
  • L. A. Zadeh, “Fuzzy Sets”, Inform. Control., Vol. 8, 1965, pp. 338-353.
  • ?Z. Pawlak, “Rough Sets”, Int. Journal of Computer and Information Sciences, Vol. 11, 1982, pp. 341-356.
  • M.K. Singal and A. Mathur, On Nearly compact Spaces-II, Bull. U. M. Ital. 4(9), 1974, pp 669-678.
  • M.K. Singal and S.P. Arya, On Nearly paracompact Spaces, Matematicki Vesnik 6(21), 1969, pp 3-16.
  • F. Lin, Soft Connected Space and Soft Paracompact Spaces, Int. J. Math., Computational, Physical, Electrical and Computer Engineering, Vol.7, No.2, 2013.
  • Debnath B.: On soft nearly compact and soft nearly paracompactness in Soft topological Spaces, International Journal of? Innovative Research in Science, Engineering and Technology , Vol.6, No. 8,pp 15906-15914, August, 2017.
  • " target="_blank">RIS | http://arxiv.org /abs/1312.6964V1[Math.GN] 25 Dec 2013.
  • Maji, P.K., Biswas, R., Roy, A.R.: Soft set theory. Comput. Math. Appl. 45, 555?562 (2003).
  • Ali, M.I., Feng, F., Liu, X., Min, W.K., Shabir, M.: On some new operations in soft set theory. Comput. Math. Appl. 57, 1547?1553 (2009).
  • Arockiarani, I., Arokialancy, A.: Generalized soft gb-closed sets and soft gsb-closed sets in soft topological spaces. Int. J. Math.? Arch. 4(2), 1?7 (2013).
  • Kharal A., Ahmad B.: Mappings on soft classes. New Math. Nat. Comput. 7(3), 471?481 (2011).
  • Zorlutana, I., Akdag M., Min W.K., Atmaca S.: Remarks on Soft Topological Spaces. Annals of Fuzzy Mathematics and Informatics. 3(2),171-185(2012).
  • Debnath, B.: On soft Maximal d-open (Minimal soft d-closed) Sets in Soft topological Spaces, International Journal of Computer Applications (Accepted).
  • ?Kharal, A., Ahmad, B.: Mappings on soft classes. New Math. Nat. Comput. 7(3), 471?481 (2011).
  • ?Z. Xiao, L. Chen, B. Zhong, S. Ye: Recognition for soft information based on the theory of soft sets? in: J. Chen (Ed.),
  • Proceedings of ICSSSM-05, vol. 2, IEEE, 2005, pp. 1104-1106.
  • D. Pei, D. Miao: From soft sets to information systems, in: X. Hu, Q. Liu, A. Skowron, T.Y. Lin, R.R. Yager, B. Zhang (Eds.), Proceedings of Granular Computing, vol. 2, IEEE, 2005, pp. 617-621.
  • L. A. Zadeh, “Fuzzy Sets”, Inform. Control., Vol. 8, 1965, pp. 338-353.
  • ?Z. Pawlak, “Rough Sets”, Int. Journal of Computer and Information Sciences, Vol. 11, 1982, pp. 341-356.
  • M.K. Singal and A. Mathur, On Nearly compact Spaces-II, Bull. U. M. Ital. 4(9), 1974, pp 669-678.
  • M.K. Singal and S.P. Arya, On Nearly paracompact Spaces, Matematicki Vesnik 6(21), 1969, pp 3-16.
  • F. Lin, Soft Connected Space and Soft Paracompact Spaces, Int. J. Math., Computational, Physical, Electrical and Computer Engineering, Vol.7, No.2, 2013.
  • Debnath B.: On soft nearly compact and soft nearly paracompactness in Soft topological Spaces, International Journal of? Innovative Research in Science, Engineering and Technology , Vol.6, No. 8,pp 15906-15914, August, 2017.
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