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
  • [21] Zamri N., Abdullah L., Hitam M.S., Et al., A novel hybrid fuzzy weighted average for MCDM with interval, triangular type-2 fuzzy sets, Wseas Trans on Systems, 12, 4, pp. 212-228, (2013)
  • [22] Yong S.Y., Sang U., Park J.W., The generalized triangular fuzzy sets, J of the Chungcheong Mathematical Society, 22, 2, pp. 161-170, (2009)
  • [23] Wang J.Q., Nie R., Zhang H.Y., Et al., New operators on triangular intuitionistic fuzzy numbers and their applications in system fault analysis, Information Sciences, 251, 12, pp. 79-95, (2013)
  • [24] Sankar P., Mondal S., Roy T.K., Non-linear arithmetic operation on generalized triangular intuitionistic fuzzy numbers, Notes on Intuitionistic Fuzzy Sets, 20, pp. 9-19, (2014)
  • [25] Yu D., Triangular hesitant fuzzy set and its application to teaching quality evaluation, J of Information & Computational Science, 10, 7, pp. 1925-1934, (2013)
  • [26] Yu D., Prioritized information fusion method for triangular intuitionistic fuzzy set and its application to teaching quality evaluation, Int J of Intelligent Systems, 28, 5, pp. 411-435, (2013)
  • [27] Zhang X., Liu P., Method for aggregating triangular fuzzy intuitionistic fuzzy information and its application to decision making, Ukio Technologinis Ir Ekonominis Vystymas, 16, 2, pp. 280-290, (2010)
  • [28] Biswas P., Pramanik S., Giri B.C., Aggregation of triangular fuzzy neutrosophic set information and its application to multi-attribute decision making, Neutrosophic Sets and Systems, 12, pp. 20-40, (2016)
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