A Novel Method Based on Induced Aggregation Operator for Classroom Teaching Quality Evaluation with Probabilistic and Pythagorean Fuzzy Information

Shouzhen Zeng; Nan Wang; Chonghui Zhang; Weihua Su

doi:10.29333/ejmste/89518

Shouzhen Zeng ¹, Nan Wang ², Chonghui Zhang ², Weihua Su ² ^*

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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

Abstract

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.

Keywords

Pythagorean fuzzy set
induced aggregation operator
probabilistic information
classroom teaching quality evaluation
multi-attribute decision making

License

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, 2018, Volume 14, Issue 7, 3205-3212

https://doi.org/10.29333/ejmste/89518

Publication date: 15 May 2018

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How to cite this article

APA

Zeng, S., Wang, N., Zhang, C., & Su, W. (2018). A Novel Method Based on Induced Aggregation Operator for Classroom Teaching Quality Evaluation with Probabilistic and Pythagorean Fuzzy Information. Eurasia Journal of Mathematics, Science and Technology Education, 14(7), 3205-3212. https://doi.org/10.29333/ejmste/89518

Vancouver

Zeng S, Wang N, Zhang C, Su W. A Novel Method Based on Induced Aggregation Operator for Classroom Teaching Quality Evaluation with Probabilistic and Pythagorean Fuzzy Information. EURASIA J Math Sci Tech Ed. 2018;14(7):3205-12. https://doi.org/10.29333/ejmste/89518

AMA

Zeng S, Wang N, Zhang C, Su W. A Novel Method Based on Induced Aggregation Operator for Classroom Teaching Quality Evaluation with Probabilistic and Pythagorean Fuzzy Information. EURASIA J Math Sci Tech Ed. 2018;14(7), 3205-3212. https://doi.org/10.29333/ejmste/89518

Chicago

Zeng, Shouzhen, Nan Wang, Chonghui Zhang, and Weihua Su. "A Novel Method Based on Induced Aggregation Operator for Classroom Teaching Quality Evaluation with Probabilistic and Pythagorean Fuzzy Information". Eurasia Journal of Mathematics, Science and Technology Education 2018 14 no. 7 (2018): 3205-3212. https://doi.org/10.29333/ejmste/89518

Harvard

Zeng, S., Wang, N., Zhang, C., and Su, W. (2018). A Novel Method Based on Induced Aggregation Operator for Classroom Teaching Quality Evaluation with Probabilistic and Pythagorean Fuzzy Information. Eurasia Journal of Mathematics, Science and Technology Education, 14(7), pp. 3205-3212. https://doi.org/10.29333/ejmste/89518

MLA

Zeng, Shouzhen et al. "A Novel Method Based on Induced Aggregation Operator for Classroom Teaching Quality Evaluation with Probabilistic and Pythagorean Fuzzy Information". Eurasia Journal of Mathematics, Science and Technology Education, vol. 14, no. 7, 2018, pp. 3205-3212. https://doi.org/10.29333/ejmste/89518