The Primal and Dual Problems of b-Complementary Multisemigroup

Abstract

In general, for the master additive system problem (see [1],[2]) there exits results of lifting  facets  that  can’t  be  used  for  non-master  because  when  projecting a facet of a master polyhedra onto a non-master polyhedra we don’t obtain a facet of the non-master. In the case where the algebraic structure is an abelian group, Gastou (see [3]) showed how to lift in a sequential way. This way does not consider the dual problem of the problem associated in order to caracterize the facets, this is a motive for the research. The main purpose of this paper is to define the dual problem of a primal problem for a b-complementary multisemigroup. We have extended the result in [5] the semigroup for the b- complementary  multisemigroup.