Mixed-Initiative Systems (MIS) are hybrid decision systems where collaboration is possible between humans and machines. However, current systems sometimes override user preferences when provided with new ones. We studied linear optimization problems, where the decision maker is specifying preferences for variable values through an iterative process. We proposed a goal programming framework to d...

Integer programming has many applications in economics and management. Applying lexicographic ordering and linear programming, we develop an iterative method for integer programming, which defines an increasing mapping from a finite lattice into itself. Given any polytope, within a finite number of iterations, the method either yields an integer point in the polytope or proves no such point exi...

In this paper Logic Programming with Ordered Disjunction (LPOD), an extension of answer set programming for handling preferences, is used for representing and solving combinatorial vote problems. Various vote rules, used as procedures for determining optimal candidate for a group of voters, are defined by means of preference relations between answer sets of a program, representing a vote proble...

The need for dynamic operation in the process industry is described by Backx et al. [1]. The economics are increasingly driven by the market and this requires flexible supply chains. In such an environment it is much harder to optimize economic performance while maintaining the required product quality and honoring operational constraints. Therefore it is expected that the current industrial st...

A multicriteria linear programming problem with integer variables and parameterized optimality principle ”from lexicographic to Slater” is considered. A situation in which initial coefficients of penalty cost functions are not fixed but may be potentially a subject to variations is studied. For any efficient solution, appropriate measures of the quality are introduced which incorporate informat...

This paper deals with Data Envelopment Analysis (DEA) in centralised settings which the operating units belong to same organisation. In such a scenario, global system-wide perspective may be adopted as regards resource allocation and target setting. this paper, new Lexicographic Goal Programming (lexGP) approach is proposed using three priority levels: aggregated input consumption output produc...

Abstract. In this paper, lexicographic products of two fuzzy graphs namely, lexicographic min-product and lexicographic max-product which are analogous to the concept lexicographic product in crisp graph theory are defined. It is illustrated that the operations lexicographic products are not commutative. The connected, effective and complete properties of the operations lexicographic products a...