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Issue:Index matrix interpretation and intuitionistic fuzzy estimation of the diet problem

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Title of paper: Index matrix interpretation and intuitionistic fuzzy estimation of the diet problem
Author(s):
Evgeniy Marinov
Bioinformatics and Mathematical Modelling Department, IBPhBME - Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., block 105, Sofia 1113, Bulgaria
evgeniy.marinov@biomed.bas.bg
Elie Daumalle
Departement des T2SI (Technicien Superieur en Informatique) AFTEC, Rennes 23 rue Louis Kerautret Botmel, 35000 Rennes, France
elie.daumalle@live.fr
Published in: "Notes on IFS", Volume 20, 2014, Number 2, pages 75-84
Download:  PDF (231  Kb, Info)
Abstract: The objective of the diet problem is to select a family of foods that will satisfy a set of daily nutritional requirement at minimum cost. In this paper we investigate different aspects and modifications of the diet problem, such as the compatibility/incompatibility of a collection of diets and their merging. We employ the notions of Index Matrix (IM) and Intuitionistic fuzzy sets(IFS), Orderings on IFSs in order to derive an intuitionistic fuzzy estimation of a new, aggregated diet table. We also study the question of compatibility of collection of diets.
Keywords: Index matrix, Intuitionistic fuzzy orderings, Intuitionistic fuzzy estimation, Diet problem
AMS Classification: 03E72
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