A novel entropy measure of Pythagorean fuzzy soft sets

被引:68
作者
Athira, T. M. [1 ]
John, Sunil Jacob [1 ]
Garg, Harish [2 ]
机构
[1] Natl Inst Technol Calicut, Dept Math, Kattangal 673601, Kerala, India
[2] Deemed Univ Patiala, Sch Math, Thapar Inst Engn & Technol, Patiala, Punjab, India
来源
AIMS MATHEMATICS | 2020年 / 5卷 / 02期
关键词
soft sets; Pythagorean fuzzy soft sets; decision-making; entropy measures; SIMILARITY MEASURES; DISTANCE MEASURES; INFORMATION; OPERATIONS; SELECTION;
D O I
10.3934/math.2020073
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Pythagorean fuzzy soft set (PFSS) is one of the useful extension of the Pythagorean fuzzy set (PFS) to deal with the vagueness and uncertainties in the data. The major advantages of PFSS over the other existing sets are to consider the parameterized tool of the family of PFS. Keeping this advantage, in this paper we define some new entropy measures for PFSS to compute the degree of fuzziness of the set. The axiomatic definition and their validity are stated. The larger the entropy, the lesser the vagueness and so, the decision making based on entropy is a useful one. Further, a decision-making algorithm is explored to solve the decision-making problem under the PFSS environment. A numerical example is given to validate the method and compare their performance with the existing intuitionistic fuzzy soft set entropy measures.
引用
收藏
页码:1050 / 1061
页数:12
相关论文
共 42 条
[1]   Generalized intuitionistic fuzzy soft sets with applications in decision-making [J].
Agarwal, Manish ;
Biswas, Kanad K. ;
Hanmandlu, Madasu .
APPLIED SOFT COMPUTING, 2013, 13 (08) :3552-3566
[2]   On some new operations in soft set theory [J].
Ali, M. Irfan ;
Feng, Feng ;
Liu, Xiaoyan ;
Min, Won Keun ;
Shabir, M. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (09) :1547-1553
[3]  
[Anonymous], 2016, INT J SCI RES
[4]  
[Anonymous], ANN FUZZY MATH INFOR
[5]   Robust aggregation operators for multi-criteria decision-making with intuitionistic fuzzy soft set environment [J].
Arora, R. ;
Garg, H. .
SCIENTIA IRANICA, 2018, 25 (02) :931-942
[6]   Prioritized averaging/geometric aggregation operators under the intuitionistic fuzzy soft set environment [J].
Arora, R. ;
Garg, H. .
SCIENTIA IRANICA, 2018, 25 (01) :466-482
[7]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[8]   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
[9]  
Bora M., 2012, Int J Soft Comput Eng, V2, P2231
[10]   Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets [J].
Burillo, P ;
Bustince, H .
FUZZY SETS AND SYSTEMS, 1996, 78 (03) :305-316