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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
Evgeniy Marinov
Bioinformatics and Mathematical Modelling Department, IBPhBME - Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., block 105, Sofia 1113, Bulgaria
Elie Daumalle
Departement des T2SI (Technicien Superieur en Informatique) AFTEC, Rennes 23 rue Louis Kerautret Botmel, 35000 Rennes, France
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
  1. Atanassov, K., Intuitionistic Fuzzy Sets: Theory and Applications. Springer Physica–Verlag, Heidelberg, 1999.
  2. Atanassov, K., On Intuitionistic Fuzzy Sets Theory. Springer, Berlin, 2012.
  3. Atanassov, K., On Generalized Nets Theory. Professor Marin Drinov Academic Publishing House, Sofia, 2007.
  4. Birkhoff, G., Lattice theory. American Mathematical Society, Providence, Rhode Island, 1967.
  5. Kuratowski, K. Topology, Vol. 1, Academic Press, New York and London, 1966.
  6. Marinov, E., π-ordering and index of indeterminacy for intuitionistic fuzzy sets, Modern Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics., Warsaw, 2014 (in press).
  7. Szmidt, E., J. Baldwin, New similarity measure for intuitionistic fuzzy set theory and mass assignment theory. Notes on Intuitionistic Fuzzy Sets, Vol. 9, 2003, No. 3, 60–76.
  8. Szmidt, E., J. Kacprzyk, Distances between intuitionistic fuzzy sets. Fuzzy Sets and Systems, Vol. 114, 2000, No. 3, 505–518.
  9. Zadeh, L. A., Fuzzy sets. Information and Control, Vol. 8, 1965, 338–353.

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