Possibility Pythagorean fuzzy soft set and its application

被引:17
作者
Jia-hua, Duojie [1 ]
Zhang, Haidong [1 ]
He, Yanping [2 ]
机构
[1] Northwest MinZu Univ, Sch Math & Comp Sci, Lanzhou 730030, Gansu, Peoples R China
[2] Northwest MinZu Univ, Sch Elect Engn, Lanzhou, Gansu, Peoples R China
关键词
Pythagorean fuzzy soft set; possibility Pythagorean fuzzy soft set; decision making problem; DECISION-MAKING; MODEL;
D O I
10.3233/JIFS-181649
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we propose the theory of possibility Pythagorean fuzzy soft set and define some related the operations concerning this notion including the complement, union, intersection, AND and OR. Then a similarity measure is introduced to compare two possibility Pythagorean fuzzy soft sets for dealing with decision problems. Finally, a practical example is provided to illustrate the validity of this similarity measure in decision making problem.
引用
收藏
页码:413 / 421
页数:9
相关论文
共 30 条
[21]   On soft equality [J].
Qin, Keyun ;
Hong, Zhiyong .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 234 (05) :1347-1355
[22]   Group decision making process for supplier selection with VIKOR under fuzzy environment [J].
Sanayei, Amir ;
Mousavi, S. Farid ;
Yazdankhah, A. .
EXPERT SYSTEMS WITH APPLICATIONS, 2010, 37 (01) :24-30
[23]   A method based on interval-valued fuzzy soft set for multi-attribute group decision-making problems under uncertain environment [J].
Xiao, Zhi ;
Chen, Weijie ;
Li, Lingling .
KNOWLEDGE AND INFORMATION SYSTEMS, 2013, 34 (03) :653-669
[24]   Pythagorean Membership Grades in Multicriteria Decision Making [J].
Yager, Ronald R. .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2014, 22 (04) :958-965
[25]   The multi-fuzzy soft set and its application in decision making [J].
Yang, Yong ;
Tan, Xia ;
Meng, Congcong .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (07) :4915-4923
[26]   FUZZY SETS [J].
ZADEH, LA .
INFORMATION AND CONTROL, 1965, 8 (03) :338-&
[27]   On a novel uncertain soft set model: Z-soft fuzzy rough set model and corresponding decision making methods [J].
Zhan, Jianming ;
Ali, Muhammad Irfan ;
Mehmood, Nayyar .
APPLIED SOFT COMPUTING, 2017, 56 :446-457
[28]   A novel soft rough set: Soft rough hemirings and corresponding multicriteria group decision making [J].
Zhan, Jianming ;
Liu, Qi ;
Herawan, Tutut .
APPLIED SOFT COMPUTING, 2017, 54 :393-402
[29]   A novel soft rough fuzzy set: Z-soft rough fuzzy ideals of hemirings and corresponding decision making [J].
Zhan, Jianming ;
Zhu, Kuanyun .
SOFT COMPUTING, 2017, 21 (08) :1923-1936
[30]   Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets [J].
Zhang, Xiaolu ;
Xu, Zeshui .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2014, 29 (12) :1061-1078