Triangular Pythagorean fuzzy set and its application to multicriteria decision making

被引：0
|
作者：
Fan J.-P. [1 ]
Yan Y. [1 ]
Wu M.-Q. [1 ]
机构：
[1] School of Economics and Management, Shanxi University, Taiyuan
来源：
Kongzhi yu Juece/Control and Decision | 2019年 / 34卷 / 08期
关键词：
Euclidean distance; Generalized triangular Pythagorean fuzzy weighted operators; Multicriteria decision making; Triangular Pythagorean fuzzy set; Triangular Pythagorean fuzzy weighted operators;
D O I：
10.13195/j.kzyjc.2017.1779
中图分类号：
学科分类号：
摘要：
Pythagorean fuzzy sets expand the range of application based on intuitionistic fuzzy sets, triangular fuzzy number reserves more uncertain information in the decision making process. Firstly, a triangular Pythagorean fuzzy set and Euclidean distance are defined. Then, triangular Pythagorean fuzzy weighted averaging (TPFWA), generalized triangular Pythagorean fuzzy weighted averaging (GTPFWA), triangular Pythagorean fuzzy weighted geometric (TPFWG) and generalized triangular Pythagorean fuzzy weighted geometric (GTPFWG) operators are defined, and correlative idempotency, boundedness and monotonity are proved. Finally the reasonableness and validity are verified by a multicriteria decision making about medical representative selection and sensitivity analysis. © 2019, Editorial Office of Control and Decision. All right reserved.
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页码：1601 / 1608
页数：7
相关论文
共 28 条
  • [1] Zadeh L.A., Fuzzy sets, Information & Control, 8, 3, pp. 338-353, (1965)
  • [2] Atanassov K.T., Intuitionistic fuzzy sets, Fuzzy Sets & Systems, 20, 1, pp. 87-96, (1986)
  • [3] Torra V., Hesitant fuzzy sets, Int J of Intelligent Systems, 25, 6, pp. 529-539, (2010)
  • [4] Yager R.R., Pythagorean membership grades in multicriteria decision making, IEEE Trans on Fuzzy Systems, 22, 4, pp. 958-965, (2014)
  • [5] Yager R.R., Abbasov A.M., Pythagorean membership grades, complex numbers, and decision making, Int J of Intelligent Systems, 28, 5, pp. 436-452, (2013)
  • [6] Zhang X., Xu Z., Extension of TOPSIS to multiple criteria decision making with pythagorean fuzzy sets, Int J of Intelligent Systems, 29, 15, pp. 1061-1078, (2014)
  • [7] Garg H., A novel accuracy function under interval-valued Pythagorean fuzzy environment for solving multicriteria decision making problem, J of Intelligent & Fuzzy Systems, 31, 1, pp. 529-540, (2016)
  • [8] Garg H., A novel correlation coefficients between pythagorean fuzzy sets and its applications to decisionmaking processes, Int J of Intelligent Systems, 31, 12, pp. 1234-1252, (2016)
  • [9] Ren P., Xu Z., Gou X., Pythagorean fuzzy TODIM approach to multi-criteria decision making, Applied Soft Computing, 42, pp. 246-259, (2016)
  • [10] Liu W.F., Chang J., He X., Generalized Pythagorean fuzzy aggregation operators and applications in decision making, Control and Decision, 31, 12, pp. 2280-2286, (2016)
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