A Novel Method Based on Induced Aggregation Operator for Classroom Teaching Quality Evaluation with Probabilistic and Pythagorean Fuzzy Information
Shouzhen Zeng 1, Nan Wang 2, Chonghui Zhang 2, Weihua Su 2 *
More Detail
1 School of Business, Ningbo University, Ningbo, CHINA2 College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou, CHINA* Corresponding Author

This article is retracted by request from the corresponding author. All authors agree to the retraction of the Article. Retraction Note: https://doi.org/10.29333/ejmste/96348


The purpose of this study is to develop a novel method based on induced aggregation operator to evaluate classroom teaching quality with probabilistic and Pythagorean fuzzy (PF) information. Inspired by the induced ordered weighted averaging (IOWA) operator, a PF aggregation operator called the PF induced probabilistic ordered weighted average (PFIPOWA) operator is developed. This operator uses probabilities and order-induced variables in the same formulas to aggregate PF information. Some of key features and special cases of the PFIPOWA operator are also investigated. Finally, the practicality of the developed operator is tested by using realistic classroom teaching quality evaluation problems. Hopefully, the research of this paper is of great significance to the evaluation of classroom teaching quality problems.


This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

EURASIA J Math Sci Tech Ed, Volume 14, Issue 7, July 2018, 3205-3212


Publication date: 15 May 2018

Article Views: 2347

Article Downloads: 0

Open Access References How to cite this article