In this paper, we define soft D− metric spaces and give some fundamental definitions. In addition to this, we define a soft Δ− distance on a complete soft D− metric.

1.
M.I.
Ali
,
F.
Feng
,
X.
Liu
,
W.K.
Min
and
M.
Shabir
,
Comput. Math. Appl.
57
,
1547
1553
, (
2009
)
2.
S.
Bayramov
,
C.
Gunduz
,
J. Math. System Sci.
3
,
122
130
, (
2013
)
3.
S.
Bayramov
and
C.
Gunduz
,
TWMS Journal of Pure and Applied Mathematics
9
(
21
),
82
93
, (
2018
).
4.
S.
Bayramov
,
C.
Gunduz
and
L.
Mdzinarishvili
,
Georgian Math. J.
22
(
4
),
457
467
, (
2015
).
5.
Y.J.
Cho
and
R.
Saadati
,
Bull. Iranian Math. Soc.
32
(
2
)
13
19
, (
2006
).
6.
S.
Das
and
S.K.
Samanta
,
Ann. Fuzzy Math. Inform.
6
(
1
),
77
94
, (
2013
).
7.
B.C.
Dhage
,
Bull. Calcutta Math. Soc.
84
,
329
336
, (
1992
).
8.
C. Gunduz
Aras
and
S.
Bayramov
,
Proc. of Inst. Math. and Mech.
43
(
1
),
105
115
, (
2017
).
9.
C.
Gunduz
Aras. S.
Bayramov
and
V.
Cafarli
,
Communications in Mathematics and Applications
9
(
4
), (
2018
).
10.
C.
Gunduz
Aras. S.
Bayramov
and
V.
Cafarli
,
Communications in Mathematics and Applications
9
(
4
), (
2018
).
11.
C. Gunduz
Aras
,
S.
Bayramov
and
M.I.
Yazar
,
Boletim da Sociedade Paranaense de Matemtica
, Submitted.
12.
S.
Hussain
and
B.
Ahmad
,
Comput. Math. Appl.
62
,
4058
4067
, (
2011
).
13.
O.
Kada
,
T.
Suzuki
and
W.
Takahashi
,
Math. Japon.
44
,
381
391
, (
1996
).
14.
P.K.
Maji
,
R.
Biswas
and
A.R.
Roy
,
Comput. Math. Appl.
45
,
555
562
, (
2003
).
15.
W.K.
Min
,
Comput. Math. Appl.
62
,
3524
3528
, (
2011
).
16.
D.
Molodtsov
,
Comput. Math. Appl.
37
,
19
31
, (
1999
).
17.
S.V.R.
Naidu
,
K.P.R.
Rao
and
N.S.
Rao
,
Int. J. Math. Sci.
51
,
2719
2740
, (
2004
).
18.
T.Y
Ozturk
and
S.
Bayramov
,
The Scientific World Journal
, Article ID 307292 (
2014
),
8
p.
19.
M.
Shabir
and
M.
Naz
,
Comput. Math. Appl.
61
,
1786
1799
, (
2011
).
20.
M.I.
Yazar
,
C. Gunduz
Aras
and
S.
Bayramov
,
Filomat
,
30
(
2
),
269
279
, (
2016
).
21.
A.E.
Coskun
,
C. Gunduz
Aras
,
H.
Cakalli
and
A.
Sonmez
,
AIP Conference Proceedings.
Vol.
1759
. No.
1
.
AIP Publishing
, (
2016
).
22.
C. Gunduz
Aras
,
A.
Sonmez
and
H.
Cakalli
,
J. Math. Anal
8
.
2
,
129
138
, (
2017
).
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