Abstract
This paper is an extension work of similarity measure of soft sets initiated by Majumdar and Samanta [15, 16]. Firstly, we have discussed some properties of similarity of soft sets. After this, we have introduced some new notions such as exact fuzzy soft points, pointwise partial similarity and their properties. Also we have discussed equality of soft sets based on similarity function. Finally we have shown two applications, one for similarity measure of two face sized and another equality of same composition drugs.
Get full access to this article
View all access options for this article.
References
1.
Aygunoglu
A.
and
Aygun
H.
, Introduction to fuzzy soft groups , Comput Math Appl 58 (2009 ), 1279 –1286 .
2.
Chen
S.M.
,
Yeh
M.S.
and
Hsiao
P.-Y.
, A comparison of similarity measures of fuzzy values , Fuzzy Sets and Systems 72 (1995 ), 79 –89 .
3.
Chen
S.M.
, Measures of similarity between vague sets , Fuzzy Sets and Systems 74 (1995 ), 217 –223 .
4.
Chen
S.M.
, Similarity measures between vague sets and between elements , IEEE Transactions on system, Man and Cybernetics (Part B) 27 (1 ) (1995 ), 153 –168 .
5.
Hong
D.H.
and
Kim
C.A.
, Note on similarity measure between vague sets and elements , Inform Sci 115 (1999 ), 83 –96 .
6.
Jiang
Y.
,
Tang
Y.
,
Chen
Q.
,
Liu
H.
and
Tang
J.
, Interval-valued intuitionistic fuzzy soft sets and their properties , Comput Math Appl 60 (3 ) (2010 ), 906 –918 .
7.
Karaaslan
F.
, Similarity measure between possibility neutrosophic soft sets and its applications , UPB Sci Bull Series A 78 (3 ) (2016 ), 1 –10 .
8.
Kharal
A.
and
Ahmad
B.
, Mapping on fuzzy soft classes , Adv Fuzzy Systems 2009 6 (2009 ), Article ID 407890 .
9.
Li
F.
and
Xu
Z.Y.
, Similarity measure between vague sets , Chinese J Software 12 (6 ) (2001 ), 922 –927 .
10.
Maji
P.K.
, Neutrosophic soft sets , Ann Fuzzy Math Inform 5 (1 ) (2013 ), 157 –168 .
11.
Maji
P.K.
,
Biswas
R.
and
Roy
R.
, An application of soft sets in a decision making problem , Comput Math Appl 44 (2002 ), 1077 –1083 .
12.
Maji
P.K.
,
Biswas
R.
and
Roy
R.
, Soft set theory , Comput Math Appl 45 (2003 ), 555 –562 .
13.
Maji
P.K.
,
Biswas
R.
and
Roy
A.R.
, Fuzzy soft sets , J Fuzzy Math 9 (3 ) (2001 ), 589 –602 .
14.
Maji
P.K.
,
Biswas
R.
and
Roy
A.R.
, Intuitionistic fuzzy soft sets , J Fuzzy Math 9 (3 ) (2001 ), 677 –692 .
15.
Majumdar
P.
and
Samanta
S.K.
, Similarity measure of soft sets , New Math Natural Comput 4 (1 ) (2008 ), 1 –12 .
16.
Majumdar
P.
and
Samanta
S.K.
, On Similarity measures of fuzzy soft sets , Int J Advance Soft Comput Appl 3 (2 ) (2011 ), 1 –8 .
17.
Majumdar
P.
and
Samanta
S.K.
, Generalised fuzzy soft sets , Comput Math Appl 59 (4 ) (2010 ), 1425 –1432 .
18.
Molodstov
D.A.
, Soft set theory-first result , Comput Math Appl 37 (1999 ), 19 –31 .
19.
Neog
T.J.
,
Sut
D.K.
and
Hazarika
G.C.
, Fuzzy soft topological spaces , Inter J Latest Trends Math 2 (1 ) (2012 ), 54 –67 .
20.
Pappis
C.P.
and
Karacapilidis
N.I.
, A comparative assessment of measures of similarity of fuzzy values , Fuzzy Sets and Systems 56 (1993 ), 171 –174 .
21.
Yang
X.
,
Lin
T.Y.
,
Yang
J.
,
Li
Y.
and
Yu
D.
, Combination of interval-valued fuzzy set and soft set , Comput Math Appl 58 (3 ) (2009 ), 521 –527 .
22.
Wang
W.J.
, New similarity measures on fuzzy sets and on elements , Fuzzy Sets and Systems 85 (1997 ), 305 –309 .
23.
Zadeh
L.A.
, Fuzzy sets , Inform Control 8 (1965 ), 338 –353 .