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RESEARCH PAPER
A Novel Method Based on Induced Aggregation Operator for Classroom Teaching Quality Evaluation with Probabilistic and Pythagorean Fuzzy Information
1
School of Business, Ningbo University, Ningbo, CHINA
2
College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou, CHINA
Online publication date: 2018-05-15
Publication date: 2018-05-15
EURASIA J. Math., Sci Tech. Ed 2018;14(7):3205-3212
KEYWORDS
Pythagorean fuzzy setinduced aggregation operatorprobabilistic informationclassroom teaching quality evaluationmulti-attribute decision making
TOPICS
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.
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| eISSN: | 1305-8223 |
| ISSN: | 1305-8215 |
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