Abstract
The concept of a central soft set related with some common decision making problems in real life is introduced in this paper. Some basic operations on central soft sets and theirs properties such as distributive law and associative law are given. The study also shows that some classic operations between soft sets can be obtained by central soft sets with selecting different central sets. In the part of application, the concepts of an evaluation system for a parameter set and desired objects of a central soft set are initiated. An algorithm is presented to solve such decision making problems.
Get full access to this article
View all access options for this article.
References
1.
Molodtsov
D.
, Soft set theory-First results , Comput Math Appl 37 (1999 ), 19 –31 .
2.
Maji
P.K.
,
Biswas
R.
and
Roy
A.R.
, Soft set theory , Comput Math Appl 45 (2003 ), 555 –562 .
3.
Aktaş
H.
and
Çağman
N.
, Soft sets and soft groups , Inform Sci 177 (2007 ), 2726 –2735 .
4.
Feng
F.
,
Jun
Y.B.
and
Zhao
X.Z.
, Soft semirings , Comput Math Appl 56 (2008 ), 2621 –2628 .
5.
Jun
Y.B.
, Soft BCK/BCI-algebras , Comput Math Appl 56 (2008 ), 1408 –1413 .
6.
Irfan Ali
M.
,
Feng
F.
,
Liu
X.Y.
,
Min
W.K.
and
Shabir
M.
, On some new operations in soft set theory , Comput Math Appl 57 (2009 ), 1547 –1553 .
7.
Guan
X.C.
,
Li
Y.M.
and
Feng
F.
, A new order relation on fuzzy soft sets and its application , Soft Computing 17 (2013 ), 63 –70 .
8.
Jun
Y.B.
and
Park
C.H.
, Applications of soft sets in ideal theory of BCK/BCI-algebras , Inform Sci 178 (2008 ), 2466 –2475 .
9.
Aktaş
H.
, Some algebraic applications of soft sets , Applied Soft Computing 28 (2015 ), 327 –331 .
10.
Maji
P.K.
,
Biswas
R.
and
Roy
A.R.
, Fuzzy soft sets , Journal of Fuzzy Mathematics 9 (2001 ), 589 –602 .
11.
Son
M.
, Interval-valued fuzzy soft sets , Journal of Korean Institute of Intelligent Systems 4 (2007 ), 557 –562 .
12.
Maji
P.K.
,
Biswas
R.
and
Roy
A.R.
, Intuitionistic fuzzy soft sets , Journal of Fuzzy Mathematics 9 (2001 ), 677 –691 .
13.
Çağman
N.
,
Karatas
S.
and
Enginoglu
S.
, Soft topology , Comput Math Appl 62 (2011 ), 351 –358 .
14.
Borzooei
R.A.
,
Mobini
M.
and
Ebrahimi
M.M.
, The category of soft sets , Journal of Intelligent & Fuzzy Systems 28 (2015 ), 157 –167 .
15.
Chen
D.
,
Tsang
E.C.C.
,
Yeung
D.S.
and
Wang
X.
, The parametrization reduction of soft sets and its applications , Comput Math Appl 49 (2005 ), 757 –763 .
16.
Deli
I.
and
Çağman
N.
, Intuitionistic fuzzy parameterized soft set theory and its decision making , Applied Soft Computing 28 (2015 ), 109 –113 .
17.
Han
B.H.
and
Geng
S.L.
, Pruning method for optimal solutions of intm-intn decision making scheme , Eur J Oper Res 231 (2013 ), 779 –783 .
18.
Aktaş
H.
and
Çağman
N.
, Soft decision making methods based on fuzzy sets and soft sets , Journal of Intelligent & Fuzzy Systems 30 (5 ) (2016 ), 2797 –2803 .