Document Type : Research Paper
Author
Department of Mathematical Sciences, University of Peloponnese, Graduate TEI of Western Greece, Greece.
Abstract
The present work focuses on two directions. First, a new fuzzy method using triangular / trapezoidal fuzzy numbers as tools is developed for evaluating a group’s mean performance, when qualitative grades instead of numerical scores are used for assessing its members’ individual performance. Second, a new technique is applied for solving Linear Programming problems with fuzzy coefficients. Examples are presented on student and basket-ball player assessment and on real life problems involving Linear Programming under fuzzy conditions to illustrate the applicability of our results in practice. A discussion follows on the perspectives of future research on the subject and the article closes with the general conclusions.
Keywords
- Fuzzy set (FS)
- Fuzzy number (FN)
- Triangular FN (TFN)
- Trapezoidal FN (TpFN)
- Center of gravity (COG) defuzzification technique
- Fuzzy linear programming (FLP)
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