As an extension of fuzzy sets and intuitionistic fuzzy sets, picture fuzzy sets have been introduced which is further extended to cubic picture fuzzy sets. Motivated by the notion of cubic linear spaces cubic picture fuzzy linear spaces are defined. Subsequent sections are devoted in examining P(resp. R)−union and P(resp. R)−intersection of cubic picture fuzzy linear spaces. Also, the concept of internal cubic picture fuzzy linear space and external cubic picture fuzzy linear spaces are discussed with few properties and examples.
REFERENCES
1.
K.
Atanassov
, Fuzzy sets and systems
, 20
(1986
), 87
–96
.2.
Y.B.
Jun
, Jacob
Kavikumar
and Keum-Sook
So
, Korean Math. Soc.,
25
(2
), 173
–184
(2010
).3.
P.R.
Kavyasree
, B. Surender
Reddy
, Kragujevac Journal of Mathematics,
46
(4
), 575
–594
(2022
).4.
G.
Lubczonok
and V.
Murali
, Fuzzy sets and systems,
125
(2
), 201
–207
(2002
).5.
6.
Cuong
, Bui
Cong
and V.
Kreinovich
, Third World Congress on Information and Communication Technologies
, 1
–6
(2013
).7.
8.
Gu.
Wenxiang
, Lu.
Tu
, Fuzzy Sets and Systems
49
(3
), 377
–380
(1992
).9.
This content is only available via PDF.
© 2021 Author(s).
2021
Author(s)
You do not currently have access to this content.