Assessment and linear programming under fuzzy conditions

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,...

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Bibliographic Details
Published in:	Journal of fuzzy extension & applications (Online) Vol. 1; no. 3; pp. 189 - 205
Main Author:	Michael Voskoglou
Format:	Journal Article
Language:	English
Published:	Ayandegan Institute of Higher Education 01.09.2020
Subjects:	center of gravity (cog) defuzzification technique fuzzy linear programming (flp) fuzzy number (fn) fuzzy set (fs) trapezoidal fn (tpfn) triangular fn (tfn)
ISSN:	2783-1442, 2717-3453
Online Access:	Get full text
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Summary:	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.
ISSN:	2783-1442 2717-3453
DOI:	10.22105/jfea.2020.253436.1024