This paper aims to introduce a newly defined on nano soft ideal topological space (NSITS) belongs to the topological structure. To classify the concepts are nano soft ideal interior (NSII),nano soft ideal closure (NSIC) and nano soft ideal exterior (NSIE).
Topics
General topology
REFERENCES
1.
K.V.
Babitha
and J.J.
Sunil
, Soft set relations and functions
, Computers and Mathematics with Applications
, 60
(2010
), 1840
–1849
.2.
X.
Ge
, Z.
Li
, and Y.
Ge
, Topological spaces and soft sets
, Journal of Computational Analysis and Applications
, Vol. 13
, No. 5
(2011
), 881
–885
.3.
K.
Kuratowski
, Topology, Vol. 1
, Academic press
, New York
,(1966
).4.
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 spces
, Appl. Math. Inf. Sci.
, Vol. 8
, No. 4
, (2014
), 1595
–1603
.5.
D.S.
Jankovic
and T.R.
Hamlett
, New Topologies from old via ideals
, Amer. Math. Monthly
, Vol. 97
, No. 4
(1990
), 295
–310
.6.
M. Lellis
Thivagar
and Carmel
Richard
, On Nano Forms of Weakly Open sets
, Internat. J. Math. and Stat. Inv.
, Vol. 1
, No. 1
(2013
), 31
–37
.7.
M. Lellis
Thivagar
and S.P.R.
Priyalatha
, An Innovative Approach on Nano Soft Topological space
, South East Asian Journal of Mathematics & Mathematical Science
, Vol 13
, No. 2
, (2017
), 47
–62
.8.
D. A.
Molodtsov
Soft Set Theory - First Result
, Computers and Mathematics with Applications
, Vol. 37
(1999
), 19
–31
.9.
P.K.
Maji
, R.
Biswas
, R.
Roy
, Soft set theory
, Computers and Mathematics with Applications
45
(2003
), 555
–562
.10.
R.
Manoharan
and P.
Thangavelu
, Some new sets and topologies in ideal topological spaces
, Chinese Journal of Mathematics
, volume (2013
), Ar-ticle ID 973608, 6
pages.11.
D.
Pie
, D.
Miao
, From soft sets to information systems
, In: Granular computing, IEEE Inter. Conf.
, Vol. 37
(2005
), 617
–621
.12.
M.
Shabir
and M.
Naz
, On Soft topological spaces
, Computers and Mathematics with Applications
, 61
(2011
), 1786
–1799
.13.
Shabir
Hussain
and Bashir
Ahmad
, Some properties of soft topological spaces
, Computers and Mathematics with Applications
, 62
(2011
), 4058
–4067
.
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