Abstract
This paper presents a new method for appraising the performance of high school teachers based on fuzzy number arithmetic operations. It uses fuzzy numbers to represent fuzzy grades. The fuzzy weights of criteria are automatically generated from the opinions of evaluators. The simplified fuzzy number arithmetic operations are used for calculating the average of fuzzy numbers. It can appraise the performance of high school teachers in a more flexible and more intelligent manner.
Similar content being viewed by others
References
Biswas R (1995). An application of fuzzy sets in students’ evaluation. Fuzzy Sets Syst 74(2): 187–194
Cagman N and Gokbulut Y (2005). New membership functions for the Law’s fuzzy educational grading system 3(3): 49–52
Chang DF, Sun CM (1993) Fuzzy assessment of learning performance of junior high school students. In: Proceedings of the 1993 first national symposium on fuzzy theory and applications. Hsinchu, Taiwan, Republic of China, pp 10–15
Chen SM (1988). A new approach to handling fuzzy decisionmaking problems. IEEE Trans Syst Man Cybern 18(6): 1012–1016
Chen SM (1994). A weighted fuzzy reasoning algorithm for medical diagnosis. Decis Support Syst 11(1): 37–43
Chen SJ and Chen SM (2003). A new method for handling multicriteria fuzzy decision-making problems using FN-IOWA operators. Cybern Syst 34(2): 109–137
Chen LS and Cheng CH (2005). Selecting IS personnel using ranking fuzzy number by metric distance method. Eur J Oper Res 160(3): 803–820
Chen SM and Lee CH (1999). New methods for students’ evaluation using fuzzy sets. Fuzzy Sets Syst 104(2): 209–218
Cheng CH (1998). A new approach for ranking fuzzy numbers by distance method. Fuzzy Sets Syst 95(3): 307–317
Cheng CH and Yang KL (1998). Using fuzzy sets in education grading system. J Chin Fuzzy Syst Assoc 4(2): 81–89
Cheng CH, Wang JW, Tsai MF and Huang KC (2004). Appraisal support system for high school teachers based on fuzzy linguistic integrating operation. J Hum Resour Manage 4(3): 73–89
Chiang TT, Lin CM (1994) Application of fuzzy theory to teaching assessment. In: Proceedings of the 1994 second national conference on fuzzy theory and applications. Taipei, Taiwan, Republic of China, pp 92–97
Kaufmann A and Gupta MM (1988). Fuzzy Mathematical models in engineering and management science. North-Holland, Amsterdam
Law CK (1996). Using fuzzy numbers in education grading system. Fuzzy Sets Syst 83(3): 311–323
Lee ES and Li RL (1988). Comparison of fuzzy numbers based on the probability measure of fuzzy events. Comput Math Appl 15(10): 887–896
Ma J and Zhou D (2000). Fuzzy set approach to the assessment of student-centered learning. IEEE Trans Educ 43(2): 237–241
Murakami S, Maeda S, Imamura S (1983) Fuzzy decision analysis on the development of centralized regional energy control systems. In: Proceedings of the IFAC symposium on fuzzy information, knowledge representation and decision analysis. Pergamon Press, New York, pp 363–368
Nolan JR (1998). An expert fuzzy classification system for supporting the grading of student writing samples. Expert Syst Appl 15(1): 59–68
Wang CH, Chen SM (2006) A new method for appraising the performance of high school teachers based on simplified fuzzy number arithmetic operations. In: Proceedings of the 19th international conference on industrial, engineering& other applications of applied intelligent systems. Annecy, France, pp 432–441
Wu MH (2003) A research on applying fuzzy set theory and item response theory to evaluate learning performance. Master Thesis, Department of Information Management, Chaoyang University of Technology, Wufeng, Taichung Country, Republic of China
Yager RR (1980). On a general class of fuzzy connectives. Fuzzy Sets Syst 4(3): 235–242
Zadeh LA (1965). Fuzzy sets. Inf Control 8: 338–353
Zimmermann HJ (1991). Fuzzy set theory and it’s applications. Kluwer/Nijhoff, Dordrecht, The Netherlands
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, CH., Chen, SM. Appraising the performance of high school teachers based on fuzzy number arithmetic operations. Soft Comput 12, 919–934 (2008). https://doi.org/10.1007/s00500-007-0240-5
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00500-007-0240-5