Description and Generation of Combinatorial Sets Having Special Characteristics(<Special Issue>Bilevel Programming, Optimization Methods, and Applications to Economics)

Abstract

The paper deals with a description and generation of new combinatorial sets. An approach for constructing special types of combinatorial sets having complex structure based on primary combinatorial sets and special mappings is developed. The investigation is devoted to a development of constructive means of creation of combinatorial sets on the ground of the concept of composition k-images of combinatorial sets. The concept uses configurations proposed by C. Berge for description of the combinatorial sets, and special combinatorial operations defined on the sets. The properties of the sets are investigated. A number of examples is given.