8-9 October 2020 • Burgas, Bulgaria

Submission: 15 May 2020 • Notification: 31 May 2020 • Final Version: 15 June 2020

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
Evgeniy Marinov
Bioinformatics and Mathematical Modelling Department, IBPhBME - Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., block 105, Sofia 1113, Bulgaria
evgeniy.marinovAt sign.pngbiomed.bas.bg
Elie Daumalle
Departement des T2SI (Technicien Superieur en Informatique) AFTEC, Rennes 23 rue Louis Kerautret Botmel, 35000 Rennes, France
elie.daumalleAt sign.pnglive.fr
Published in: "Notes on IFS", Volume 20, 2014, Number 2, pages 75-84
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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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