Marinov, Evgeniy; Daumalle, Elie Index matrix interpretation and intuitionistic fuzzy estimation of the diet problem. (English) Zbl 1397.90439 Notes IFS 20, No. 2, 75-84 (2014). Summary: 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. MSC: 90C90 Applications of mathematical programming 90C70 Fuzzy and other nonstochastic uncertainty mathematical programming Keywords:index matrix; intuitionistic fuzzy orderings; intuitionistic fuzzy estimation; diet problem PDFBibTeX XMLCite \textit{E. Marinov} and \textit{E. Daumalle}, Notes IFS 20, No. 2, 75--84 (2014; Zbl 1397.90439) Full Text: Link