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   Use of Fuzzy Numbers For Assessing Problem Solving Skills  
   
نویسنده Voskoglou Michael Gr. ,Mishra S. N.
منبع International Journal Of Industrial Mathematics - 2017 - دوره : 9 - شماره : 2 - صفحه:161 -171
چکیده    The importance of problem solving (ps) has been realized for such a long time that in a direct or indirect way a ects 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, o ers 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) defuzzi cation 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.
کلیدواژه Problem Solving Assessment; Fuzzy Logic (Fl); Fuzzy Numbers (Fns); Triangular (Tfns) And Trapezoidal (Tpfns) Fuzzy Numbers; Centre Of Gravity (Cog) Defuzzi Cation Technique
آدرس Graduate Technological Educational Institute (T. E. I.), School Of Technological Applications, Department Of Mathematical Sciences, Greece, National Institute Of Technology, Department Of Mathematics, India
 
     
   
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