International Journal of Fuzzy Systems and Advanced Applications


ISSN: 2313-0512
Volume 6, 2019

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of NAUN Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

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Volume 6, 2019


Title of the Paper: Fuzzy Relation Equations on the Van Hiele Levels of Geometric Reasoning

 

Authors: Michael Gr. Voskoglou

Pages: 8-12

Abstract: Fuzzy Relation Equations, which are associated with the composition of binary fuzzy relations, is a dynamic tool of fuzzy mathematics that has been used by many researchers in several real word applications. In the paper at hands Fuzzy Relation Equations are applied on the Van-Hiele levels of geometric reasoning to study the student progress on learning Euclidean Geometry and examples are presented illustrating this application. The Van-Hiele theory suggests that students can progress in Geometry through five states of increasing structural complexity.


Title of the Paper: Fuzzy and Grey Assessment Methods

 

Authors: Michael Gr. Voskoglou

Pages: 1-7

Abstract: In this work two innovative methods are developed for evaluating a system’s mean performance by linguistic expressions, which utilize Triangular Fuzzy Numbers and Grey Numbers respectively. Examples are also presented on student, athlete and CBR systems’ evaluation to illustrate their applicability to real life problems. The outcomes of those methods are compared to the corresponding outcomes of the traditional assessment methods of calculating the mean value of scores and the GPA index respectively. Although it is finally shown that the two methods provide the same assessment outcomes, it turns out that the use of the Grey Numbers reduces significantly the required computational burden.