Split cuts are among the most important and well-understood cuts for general mixed-integer programs. In this paper we consider some recent generalizations of split cuts and compare their relative strength. More precisely, we compare the elementary closures of split, cross, crooked cross and general multi-branch split cuts as well as cuts obtained from multi-row and basic relaxations. We present...

 Most debates about the role of tariff cuts on the level of employment and rate of wages in labor market have come out of well-known Hecscher – Ohlin and Stopler – Samuelson (HOS) theorems. Considering the fact that we have divided the workforce into skilled and unskilled labors the present paper assesses the impacts of tariff cuts on labor market indicators in Iran. To address these issues...

The purpose of this paper is to present an overview of families of cutting planes for mixed integer programming problems. We examine the families of disjunctive inequalities, split cuts, mixed integer rounding inequalities, mixed integer Gomory cuts, intersection cuts, lift-and-project cuts, and reduceand-split cuts. In practice, mixed integer Gomory cuts are very useful in obtaining solutions ...

In a recent paper, Dash, Dey and Günlük (2010) showed that many families of inequalities for the two-row continuous group relaxation and variants of this relaxation are cross cuts or crooked cross cuts, both of which generalize split cuts. Li and Richard (2008) recently studied t-branch split cuts for mixedinteger programs for integers t ≥ 1. Split cuts are just 1-branch split cuts, and cross c...

This paper is a contribution to the theoretical foundations of the theory of fuzzy dynamical systems. More precisely, we study relations between a given discrete dynamical system on the space X and its fuzzy counterpart Zadeh’s extension defined on the space of fuzzy sets on X . We provide a short discussion and a brief survey of some recent results devoted to various (especially chaotic) dynam...

We characterize the convergence of fuzzy sets in the supremum metric given by the supremum of the Hausdorff distances of the α-cuts of the fuzzy sets. We do it by dividing this metric into its lower and upper quasipseudometric parts. This characterization is given in the more general context with no assumption on the fuzzy sets. Furthermore, motivated from the theory of Convex Analysis, we also...

In the paper we define the convergence of compact fuzzy sets as a convergence of α-cuts in the topology of compact subsets of a metric space. Furthermore we define typical convergences of fuzzy variables and show relations with convergence of their fuzzy distributions. In this context we prove a general formulation of the Strong Law of Large Numbers for fuzzy sets and fuzzy variables with Archi...

Abstract In the present paper concepts of q-rung orthopair fuzzy mappings (q-ROF mapping) and $( \alpha ,\beta ) $ ( α , β ) -cuts are introduced. Some common fixed point results for q-ROF presented in b-metric spaces using Suzuki-type contra...