Soft mildly I-normal spaces

Downloads

DOI:

https://doi.org/10.26637/MJM0703/0037

Abstract

In this paper the concept of soft mildly I-normal spaces have been introduced and studied.

Keywords:

Soft sets, Soft topology, Soft normal, Soft Ideal, Soft mildly I-normal, Soft I-paracompact and Soft nearly I-paracompact spaces

Mathematics Subject Classification:

Mathematics
  • Archana K. Prasad Department of Mathematics and Computer Science, R.D.V.V, Jabalpur-482001, India.
  • S.S. Thakur Department of Applied Mathematics, Jabalpur Engineering College, Jabalpur-482011, India.
  • Pages: 595-600
  • Date Published: 01-07-2019
  • Vol. 7 No. 03 (2019): Malaya Journal of Matematik (MJM)

R.Alagar and R.Thenmozhy, On nearly compact spaces with respect to an ideal, The IUP Journal of Computational Mathematics, 3(3)(2010), 29-33.

M. I. Ali, F. Feng, X. Liu, W. K. Min and M. Shabir, On some new operations in soft set theory, Computers and Mathematics with Applications, 57 (2009), 1547-1553.

T.M.Al-Shami, M.E.El-Shafei and M.Abo-Elhamayel, Almost soft compact and approximately soft Lindelöf space, Journal of Taibah University for Sciences, 12 (5) (2018), 620-630.

A.Aygunoglu and H.Aygun, Some notes on soft topological spaces, Neural Computing and Applications, 21 (2012), 113-119.

N.Cagman, S.Karatas and S.Enginoglu, Soft topology, Computers and Matematics with Applications , 62 (2011), 351-358.

S.Das and S.K.Samanta, Soft metric, Annals of Fuzzy Mathematics and Informatics, 6 (1)(2013), 77-94.

B.Debnath, On Soft Almost Paracompactness in Soft Topological Space, International Journal of Scientific Research in Science and Technology, 3 (7)(2017), 555561.

B.Debnath, A note on soft nearly compact and soft nearly paracompactness in soft topological spaces, International Journal of Innovative Research in Science, Engineering and Technology, 6 (2017), 15906-15914.

A.C.Guler and G.Kale, Regularity and Normality on soft ideal topological spaces, Annals of Fuzzy Mathematics and Informatics, $9(3)(2015), 373-383$.

T.R.Hamlett, D.Rose and D.Jankovic, Paracompactness with respect to an ideal, International Journal of Mathematics and Mathematical Sciences, 20(3)(1997), 433442.

S.Hussain and B.Ahmad, Some properties of soft topological spaces, Computer and Mathematics with Applications, 62 (2011), 4058-4067.

A.Kandil, O.A.E.Tantawy, S.A.El-Sheikh and A.M.Abd El-latif, Soft ideal theory soft local function and generated soft topological spaces, Applied Mathematics and Information Sciences, 8(4)(2014), $1595-1603$.

A. Kharal and B.Ahmad, Mappings on soft classes, New Mathematics and National Computation, 7(3)(2011), 471481.

P.T.Lambrinos, On almost compact and nearly compact spaces, Rendiconti del Circolo Matematico di Palermo, $24(1)(1975), 14-18$.

F.Lin, Soft connected spaces and soft paracompact spaces, International Journal of Mathematical and Computational Sciences , 7(2)(2013), 277-283.

P.K.Maji, R.Biswas and A.R.Roy, Soft set theory, Computer and Mathematics with Applications, 45(2003), 555562.

W.K.Min, A note on soft topological spaces, Computer and Mathematics with Applications , 62(2011), 35243528.

D.Molodtsov, Soft set theory-first results, Computer and Mathematics with Applications, 37(1999), 19-31.

S.Nazmul and S.K.Samanta, Neighborhood properties of soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 6(1)(2013), $1-15$.

D.Pei and D.Miao, From soft sets to information systems,in: X. Hu $Q$ Liv, A. Skowron, T. Y. Lin, R. R. Yager, B. Zhang (Eds.), Proceedings of Granular Computing, IEEE, 2 (2005), 617-621.

Archana K.Prasad and S.S.Thakur, Soft almost regular spaces,Malaya Journal of Matematik, 7(3)(2019), 408411.

A.Qahis, Almost Lindelof with respect to ideal, International Journal of Mathematical Analysis, 12(4) (2018), 169-181.

R.Sahin and A.Kucuk, Soft filters and their convergence properties, Annals of Fuzzy Mathematics and Informatics, $6(3)(2013), 529-543$.

G.Senel and N.Cagman, Soft topological subspaces, Annals of Fuzzy Mathematics and Informatics, 10 (4) (2015), $525-535$.

M.Shabir and M.Naz, On soft topological spaces, Computer and Mathematics with Applications, 61(2011), 1786-1799.

M.K.Singal and A.R.Singal , Mildly normal spaces, Kyungpook Mathematical Journal, 13(1)(1973), 27-31.

M.K.Singal and S.P.Arya, On almost regular spaces, Glasnik Mathematicki, 4(24)(1969), 89-99.

I. Zorlutuna, N. Akdag, W. K. Min and S. Atmaca, Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 3(2)(2012), 171-185.

I.Zorlutuna and H.Cakir, On continuity of soft mappings,Applied Mathematics and Information Sciences, $9(1)(2015), 403-409.

  • NA

Metrics

Metrics Loading ...

Published

01-07-2019

How to Cite

Archana K. Prasad, and S.S. Thakur. “Soft Mildly I-Normal Spaces”. Malaya Journal of Matematik, vol. 7, no. 03, July 2019, pp. 595-00, doi:10.26637/MJM0703/0037.