Date post: | 07-Aug-2018 |
Category: |
Documents |
Upload: | science2010 |
View: | 214 times |
Download: | 0 times |
8/20/2019 The generalized Dice measures for multiple attribute decision making under simplified neutrosophic environments
http://slidepdf.com/reader/full/the-generalized-dice-measures-for-multiple-attribute-decision-making-under 1/14
The generalized Dice measures for multiple attribute decision making
under simplif ied neutrosophic environments
Abstract
Keywords:
1. Introduction
E-mail address:
8/20/2019 The generalized Dice measures for multiple attribute decision making under simplified neutrosophic environments
http://slidepdf.com/reader/full/the-generalized-dice-measures-for-multiple-attribute-decision-making-under 2/14
2. The Dice measures of SNSs
Def inition 1 S X
X x xv xu xt xS S S S t S x X uS x X vS x X
x S t S x uS x vS x x X
x t S x uS x vS x S s x t x u x v x
t x u x v x t x u x v x
U
x
L
x x t t t
U
x
L
x x uuu
8/20/2019 The generalized Dice measures for multiple attribute decision making under simplified neutrosophic environments
http://slidepdf.com/reader/full/the-generalized-dice-measures-for-multiple-attribute-decision-making-under 3/14
8/20/2019 The generalized Dice measures for multiple attribute decision making under simplified neutrosophic environments
http://slidepdf.com/reader/full/the-generalized-dice-measures-for-multiple-attribute-decision-making-under 4/14
8/20/2019 The generalized Dice measures for multiple attribute decision making under simplified neutrosophic environments
http://slidepdf.com/reader/full/the-generalized-dice-measures-for-multiple-attribute-decision-making-under 5/14
n
j j j j j
n
j j j j j
n
j j j j j j j j
ww
wWSVNN
vut wvut w
vvuut t w
S S
S S S S D
n
j
U
j
L
j
U
j
L
j
U
j
L
j j
n
j
U
j
L
j
U
j
L
j
U
j
L
j j
n
j
U
j
U
j
L
j
L
j
U
j
U
j
L
j
L
j
U
j
U
j
L
j
L
j j
ww
w
WINN
vvuut t w
vvuut t w
vvvvuuuut t t t w
S S
S S
S S D
4. The generalized Dice measures of SNSs
Def inition 4. S s s s n S s s s n s j t j u j v j
s j t j u j v j j n j S S
S S
n
j j j j j j j
j j j j j j
n
j j j
j j
SVNN
vut vut
vvuut t
n
ss
ss
nS S G
n
j j j j
n
j j j j
n
j j j j j j j
SVNN
vut vut
vvuut t
S S
S S S S G
n
j j j j
j j j j j jn
j j
j j
SVNN vut
vvuut t
ns
ss
nS S G
n
j j j j
j j j j j jn
j j
j j
SVNN vut
vvuut t
ns
ss
nS S G
8/20/2019 The generalized Dice measures for multiple attribute decision making under simplified neutrosophic environments
http://slidepdf.com/reader/full/the-generalized-dice-measures-for-multiple-attribute-decision-making-under 6/14
8/20/2019 The generalized Dice measures for multiple attribute decision making under simplified neutrosophic environments
http://slidepdf.com/reader/full/the-generalized-dice-measures-for-multiple-attribute-decision-making-under 7/14
U
ij
L
ijij t t t U
ij
L
ijij uuu
U
ij
L
ijij vvv i j n
n
jU
j
U
j
U
j
L
j
L
j
L
j
U
j
U
j
L
j
L
j
U
j
U
j
L
j
L
j
U
j
U
j
L
j
L
j
n
j j
j j
INN
vut vut
vvvvuuuut t t t
n
s
ss
nS S G
n
jU
j
U
j
U
j
L
j
L
j
L
j
U
j
U
j
L
j
L
j
U
j
U
j
L
j
L
j
U
j
U
j
L
j
L
j
n
j j
j j
INN
vut vut
vvvvuuuut t t t
n
s
ssn
S S G
n
jU
j L
jU
j L
jU
j L
j
n
j
U
j
U
j
L
j
L
j
U
j
U
j
L
j
L
j
U
j
U
j
L
j
L
j
INN
vvuut t
vvvvuuuut t t t
S
S S S S G
n
j
U
j
L
j
U
j
L
j
U
j
L
j
n
j
U
j
U
j
L
j
L
j
U
j
U
j
L
j
L
j
U
j
U
j
L
j
L
j
INN
vvuut t
vvvvuuuut t t t
S
S S S S G
sij i j n
W w w wn sij i j n w j
n
j jw
8/20/2019 The generalized Dice measures for multiple attribute decision making under simplified neutrosophic environments
http://slidepdf.com/reader/full/the-generalized-dice-measures-for-multiple-attribute-decision-making-under 8/14
8/20/2019 The generalized Dice measures for multiple attribute decision making under simplified neutrosophic environments
http://slidepdf.com/reader/full/the-generalized-dice-measures-for-multiple-attribute-decision-making-under 9/14
8/20/2019 The generalized Dice measures for multiple attribute decision making under simplified neutrosophic environments
http://slidepdf.com/reader/full/the-generalized-dice-measures-for-multiple-attribute-decision-making-under 10/14
8/20/2019 The generalized Dice measures for multiple attribute decision making under simplified neutrosophic environments
http://slidepdf.com/reader/full/the-generalized-dice-measures-for-multiple-attribute-decision-making-under 11/14
S S S S
S S S S
S S S S
S S S
S i S S
S i S S
S S i S
7. Conclusion
References
8/20/2019 The generalized Dice measures for multiple attribute decision making under simplified neutrosophic environments
http://slidepdf.com/reader/full/the-generalized-dice-measures-for-multiple-attribute-decision-making-under 12/14
Applied Mat hematical Modelling 37
Multispace
and Multist ruct ure 4
Science Wor ld Journal 2014
Neural Computing and Applications
Applied So ft Computing 25
Int ernational Journal o f Syst ems
Science
Int ernational Journal o f General Syst ems 42
Journal o f Int elligent and Fuzzy Syst ems 26
Journal o f Int elligent and Fuzzy Syst ems 26
Journal o f Int elligent and Fuzzy
Syst ems 27
Int ernational Journal o f Fuzzy Syst ems 16
Applied
Mat hematical Modelling 38
Journal o f Int elligent and
Fuzzy Syst ems 28
Fuzzy Set s and Syst ems 20
Fuzzy Set s and Syst ems 31
Neut rosophic Set s and Syst ems 1
Int ernational Journal o f Fuzzy
Syst ems 16
Neural Computing and Applications 25
8/20/2019 The generalized Dice measures for multiple attribute decision making under simplified neutrosophic environments
http://slidepdf.com/reader/full/the-generalized-dice-measures-for-multiple-attribute-decision-making-under 13/14
Neural Computing and Applications
Journal o f Int elligent
and Fuzzy Syst ems
Neural Computing and Applications
8/20/2019 The generalized Dice measures for multiple attribute decision making under simplified neutrosophic environments
http://slidepdf.com/reader/full/the-generalized-dice-measures-for-multiple-attribute-decision-making-under 14/14