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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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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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.
AbstractList 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.
Author Michael Voskoglou
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Snippet The present work focuses on two directions. First, a new fuzzy method using triangular / trapezoidal fuzzy numbers as tools is developed for evaluating a...
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SubjectTerms center of gravity (cog) defuzzification technique
fuzzy linear programming (flp)
fuzzy number (fn)
fuzzy set (fs)
trapezoidal fn (tpfn)
triangular fn (tfn)
Title Assessment and linear programming under fuzzy conditions
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