×

Index matrix interpretation and intuitionistic fuzzy estimation of the diet problem. (English) Zbl 1397.90439

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
PDFBibTeX XMLCite
Full Text: Link