| Title of paper:
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Index matrix interpretation and intuitionistic fuzzy estimation of the diet problem
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| Author(s):
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| Evgeniy Marinov
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| Bioinformatics and Mathematical Modelling Department, IBPhBME - Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., block 105, Sofia 1113, Bulgaria
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| evgeniy.marinov@biomed.bas.bg
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| Elie Daumalle
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| Departement des T2SI (Technicien Superieur en Informatique) AFTEC, Rennes 23 rue Louis Kerautret Botmel, 35000 Rennes, France
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| elie.daumalle@live.fr
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 20, 2014, Number 2, pages 75-84
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| Download:
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 PDF (231 Kb, File info)
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| Abstract:
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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.
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| Keywords:
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Index matrix, Intuitionistic fuzzy orderings, Intuitionistic fuzzy estimation, Diet problem
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| AMS Classification:
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03E72
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| References:
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| Citations:
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