Michael Voskoglou - Department of Mathematical Sciences, University of Peloponnese, Graduate TEI of Western Greece, Greece.

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.

Fuzzy Set (FS), Fuzzy Number (FN), Triangular FN (TFN), Trapezoidal FN (TpFN), Center of Gravity (COG) Defuzzification Technique, Fuzzy Linear Programming (FLP)