Use of Fuzzy Numbers for Assessing Problem Solving ‎Skills‎

نویسندگان

  • Michael Gr‎.‎ Voskoglou‎ Depart‎ment of Mathematical Sciences‎, ‎School of Technological ‎Applications, Graduate Technological Educational Institute (T‎. ‎E‎. ‎I.) of Western Greece, Patras‎, ‎Greece.‎‎
  • S. N. Mishra Department of Mathematics‎, ‎National Institute of Technology ‎Durgapur, West Bengal‎, ‎India.‎‎
چکیده مقاله:

‎The importance of Problem Solving (PS) has been realized for such a long time that in a direct or indirect way affects our daily lives in many ways‎. ‎Assessment cases appear frequently for PS skills which involve a degree of uncertainty and (or) ambiguity‎. ‎Fuzzy logic‎, ‎due to its nature of characterizing such cases with multiple values‎, ‎offers rich resources for dealing with them‎. ‎On the other hand‎, ‎Fuzzy Numbers (FNs) play a fundamental role in fuzzy mathematics‎, ‎analogous to the role played by the ordinary numbers in classical mathematics‎. ‎In the present paper we utilize the two simplest forms of them‎, ‎i.e‎. ‎the Triangular and Trapezoidal FNs‎, ‎together with the Centre of Gravity (COG) defuzzification technique as assessment tools for PS skills‎. ‎Our results are illustrated by three examples in which the assessment outcomes of FNs are validated  through their comparison with the corresponding outcomes of assessment methods of the bi-valued and fuzzy logic already tested in author's earlier works‎.

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عنوان ژورنال

دوره 9  شماره 2

صفحات  161- 171

تاریخ انتشار 2017-04-01

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