TITLE:
Hierarchical Structure of Multicriteria Problems
AUTHORS:
Albert N. Voronin, Yuriy K. Ziatdinov
KEYWORDS:
Hierarchical Structure; Nested Scalar Convolutions; Multicriteria Approach; Decomposition; Composition
JOURNAL NAME:
Intelligent Control and Automation,
Vol.5 No.1,
February
20,
2014
ABSTRACT: It is shown that any multicriteria problem can be represented by a hierarchical system of
criteria. Individual properties of the object (alternative) are evaluated at
the bottom level of the system, using a criteria vector. A composition mechanism is used to evaluate
the object as a whole at the top level. The problem is solved by the method of
nested scalar convolutions of vector-valued criteria. The methodology of the
problem solving is based on the complementarity principle by N. Bohr and the
theorem of incompleteness by K. G?del. An example is presented that helps the reader digest some of the intricacies in
the methodology.