Skip to main content

A New Approach for Evaluating Students’ Answerscripts Based on Interval-Valued Fuzzy Sets

  • Conference paper
New Trends in Applied Artificial Intelligence (IEA/AIE 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4570))

  • 1390 Accesses

Abstract

In this paper, we present a new approach for evaluating students’ answerscripts based on the similarity measure between interval-valued fuzzy sets. The marks awarded to the answers in the students’ answerscripts are represented by interval-valued fuzzy sets, where each element in the universe of discourse belonging to an interval-valued fuzzy set is represented by an interval between zero and one. An index of optimism λ determined by the evaluator is used to indicate the degree of optimism of the evaluator, where λ ∈ [0, 1]. The proposed approach using interval-valued fuzzy sets for evaluating students’ answerscripts can evaluate students’ answerscripts in a more flexible and more intelligent manner.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Biswas, R.: An Application of Fuzzy Sets in Students’ Evaluation. Fuzzy Sets and Systems 74, 187–194 (1995)

    Article  MATH  Google Scholar 

  2. Chang, D.F., Sum, C.M.: Fuzzy Assessment of Learning Performance of Junior High School Students. In: Proceedings of the, First National Symposium on Fuzzy Theory and Applications, Hsinchu, Taiwan, Republic of China, pp. 10–15 (1993)

    Google Scholar 

  3. Chen, S.M.: A New Method for Handling Multicriteria Fuzzy Decision-Making Problems. Cybernetics and Systems 25, 409–420 (1994)

    Article  MATH  Google Scholar 

  4. Chen, S.M.: Evaluating the Rate of Aggregative Risk in Software Development Using Fuzzy Set Theory. Cybernetics and Systems 30, 57–75 (1999)

    Article  MATH  Google Scholar 

  5. Chen, S.M., Lee, C.H.: New Methods for Students Evaluating Using Fuzzy Sets. Fuzzy Sets and Systems 104, 209–218 (1999)

    Article  Google Scholar 

  6. Cheng, C.H., Yang, K.L.: Using Fuzzy Sets in Education Grading System. Journal of Chinese Fuzzy Systems Association 4, 81–89 (1998)

    Google Scholar 

  7. Chiang, T.T., Lin, C.M.: Application of Fuzzy Theory to Teaching Assessment. In: Proceedings of the, Second National Conference on Fuzzy Theory and Applications, Taipei, Taiwan, Republic of China, pp. 92–97 (1994)

    Google Scholar 

  8. Gorzalczany, M.B.: A Method of Inference in Approximate Reasoning Based on Interval-Valued Fuzzy Sets. Fuzzy Sets and Systems 21, 1–17 (1987)

    Article  MATH  Google Scholar 

  9. Gorzalczany, M.B.: An Interval-Valued Fuzzy Inference Method – Some Basic Properties. Fuzzy Sets and Systems 31, 243–251 (1989)

    Article  Google Scholar 

  10. Echauz, J.R., Vachtsevanos, G.J.: Fuzzy Grading System. IEEE Transactions on Education 38, 158–165 (1995)

    Article  Google Scholar 

  11. Law, C.K.: Using Fuzzy Numbers in Education Grading System. Fuzzy Sets and Systems 83, 311–323 (1996)

    Article  Google Scholar 

  12. Ma, J., Ma Zhou, D.: Fuzzy Set Approach to the Assessment of Student-Centered Learning. IEEE Transactions on Education 43, 237–241 (2000)

    Article  Google Scholar 

  13. Wang, H.Y., Chen, S.M.: New Methods for Evaluating the Answerscripts of Students Using Fuzzy Sets. In: Proceedings of the 19th International Conference on Industrial, Engineering & Other Applications of Applied Intelligent Systems, Annecy, France, pp. 442–451 (2006)

    Google Scholar 

  14. Wang, H.Y., Chen, S.M.: New Methods for Evaluating Students’ Answerscripts Using Fuzzy Numbers Associated with Degrees of Confidence. In: Proceedings of the, IEEE International Conference on Fuzzy Systems, Vancouver, BC, Canada, pp. 5492–5497. IEEE Computer Society Press, Los Alamitos (2006)

    Google Scholar 

  15. Wang, H.Y., Chen, S.M.: New Methods for Evaluating Students Answerscripts Using Vague Values. In: Proceedings of the 9th Joint Conference on Information Sciences, Kaohsiung, Taiwan, Republic of China, pp. 1184–1187 (2006)

    Google Scholar 

  16. Wang, H.Y., Chen, S.M.: Evaluating Students Answerscripts Based on the Similarity Measure between Vague Sets. In: Proceedings of the 11th Conference on Artificial Intelligence and Applications, Kaohsiung, Taiwan, Republic of China, pp. 1539–1545 (2006)

    Google Scholar 

  17. Weon, S., Kim, J.: Learning Achievement Evaluation Strategy Using Fuzzy Membership Function. In: Proceedings of the 31st ASEE/IEEE Frontier in Education Conference, Reno, NV, T3A-19–T3A-24 (2001)

    Google Scholar 

  18. Zadeh, L.A.: Fuzzy Sets. Information and Control 8, 338–353 (1965)

    Article  MATH  Google Scholar 

  19. Zwick, R., Carlstein, E., Budescu, D.V.: Measures of Similarity Among Fuzzy Concepts: A Comparative Analysis. International Journal of Approximate Reasoning 1, 221–242 (1987)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Hiroshi G. Okuno Moonis Ali

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Berlin Heidelberg

About this paper

Cite this paper

Wang, HY., Chen, SM. (2007). A New Approach for Evaluating Students’ Answerscripts Based on Interval-Valued Fuzzy Sets. In: Okuno, H.G., Ali, M. (eds) New Trends in Applied Artificial Intelligence. IEA/AIE 2007. Lecture Notes in Computer Science(), vol 4570. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73325-6_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-73325-6_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73322-5

  • Online ISBN: 978-3-540-73325-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics