Assessment and linear programming under fuzzy conditions

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)