Polytopic Fuzzy Sets and Their Applications to Multiple-Attribute Decision-Making Problems

被引:14
作者
Beg, Ismat [1 ]
Abbas, Mujahid [2 ,3 ]
Asghar, Muhammad Waseem [2 ]
机构
[1] Lahore Sch Econ, Lahore 53200, Pakistan
[2] Govt Coll Univ, Dept Math, Lahore 54000, Pakistan
[3] China Med Univ, Dept Med Res, Taichung, Taiwan
关键词
q-rung orthopair fuzzy set; Polytopic fuzzy set; Spherical fuzzy set; Aggregation operators; Decision-making problems; AGGREGATION OPERATORS; SIMILARITY MEASURE; SOFT SETS; OPERATIONS; ENTROPY;
D O I
10.1007/s40815-022-01303-1
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The aim of this paper is to introduce the concept of polytopic fuzzy sets as an extension of spherical fuzzy sets, picture fuzzy sets, and q-rung orthopair fuzzy sets. We define some basic operations and aggregation operators on polytopic fuzzy sets. Based on these operators, we present three new methods to deal with the multiple-attribute decision-making problem which cannot be solved with the help of existing aggregation operators. Finally, a numerical example is given to illustrate the validity of the proposed approach.
引用
收藏
页码:2969 / 2981
页数:13
相关论文
共 40 条
[1]  
Agarwal M., 2011, P IEEE INT C FUZZY S
[2]   Spherical fuzzy sets and their applications in multi-attribute decision making problems [J].
Ashraf, Shahzaib ;
Abdullah, Saleem ;
Mahmood, Tahir ;
Ghani, Fazal ;
Mahmood, Tariq .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (03) :2829-2844
[3]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[4]   Entropy and distance measures of Pythagorean fuzzy soft sets and their applications [J].
Athira, T. M. ;
John, Sunil Jacob ;
Garg, Harish .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 37 (03) :4071-4084
[5]   An Intuitionistic 2-Tuple Linguistic Information Model and Aggregation Operators [J].
Beg, Ismat ;
Rashid, Tabasam .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2016, 31 (06) :569-592
[6]   Intuitionistic fuzzy similarity measure: Theory and applications [J].
Beg, Ismat ;
Rashid, Tabasam .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 30 (02) :821-829
[7]  
Beg I, 2009, APPL COMPUT MATH-BAK, V8, P192
[8]  
Bora M., 2012, Int J Soft Comput Eng, V2, P2231
[9]  
Cuong BC., 2001, J COMPUT SCI CYBERN, V30, P409
[10]   Some operations on intuitionistic fuzzy sets [J].
De, SK ;
Biswas, R ;
Roy, AR .
FUZZY SETS AND SYSTEMS, 2000, 114 (03) :477-484