New Directions in Multicriteria Decision Making Research

The author of this paper expresses an assessment of current approaches to research in multicriteria decision making that are more relevant from his point of view to the treatment of real-life issues. The author is a prominent researcher in this field

A Method for Evaluating R & D Proposals in Large Research Organizations

This series of papers are a product of collaborative research coordinated through IIASA's Management and Technology Area. The collaborating institutions are Hungarian State Office of Technical Development (Personnel: Anna Vari, Janos Vecsenyi, Laszlo David); Decision Analysis Unit, Brunel University, England (Personnel: Patrick Humphreys, Lawrence D. Phillips); All-Union Research Institute of Systems Studies, USSR (Personnel: Oleg. I Larichev). The papers report case studies prepared by the personnel from the collaborating institutions based on their own, and their colleagues' work in their own institutions. They worked together as a team in developing the methods for the analysis of these case studies which are described in the first paper in the series. IIASA provided support for this work through its telecenter for communication between the investigations, and provided facilities for short term meetings between the investigations at IIASA for development of case studies and their comparative analysis. Particular MMT staff were Ronald M. Lee, Nora Avedisians, and Miyoko Yamada, who is the editor of this series. A summary of this comparative analysis, based on the first four case studies in this series was presented at the IFIP/IIASA Conference on "Processes and Tools for Decision Support", Laxenburg, Austria, July, 1982. The paper presented at the IFIP/IIASA conference will be published as Humphreys, P.C., O.I. Larichev, A. Vari, and J. Vecsenyi, Comparative analysis of decision support systems in R&D decisions, in H.G. Sol (ed.), "Processes and Tools for Decision Support", Amsterdam: North Holland, 1982. Another study in this series was published separately as L.D. Phillips: Requisite decision modeling: a case study. "Journal of the Operations Research Society, 1982, 33:303-311

Sorted-pareto dominance and qualitative notions of optimality

Pareto dominance is often used in decision making to compare decisions that have multiple preference values – however it can produce an unmanageably large number of Pareto optimal decisions. When preference value scales can be made commensurate, then the Sorted-Pareto relation produces a smaller, more manageable set of decisions that are still Pareto optimal. Sorted-Pareto relies only on qualitative or ordinal preference information, which can be easier to obtain than quantitative information. This leads to a partial order on the decisions, and in such partially-ordered settings, there can be many different natural notions of optimality. In this paper, we look at these natural notions of optimality, applied to the Sorted-Pareto and min-sum of weights case; the Sorted-Pareto ordering has a semantics in decision making under uncertainty, being consistent with any possible order-preserving function that maps an ordinal scale to a numerical one. We show that these optimality classes and the relationships between them provide a meaningful way to categorise optimal decisions for presenting to a decision maker

An algorithm for ordinal sorting based on ELECTRE with categories defined by examples

Abstract This work proposes a Progressive Assisted Sorting Algorithm (PASA) based on a multicriteria evaluation ELECTRE-type method. The purpose of the PASA is to aid a decision maker to progressively sort a set of alternatives into a set of categories, which we considered are ordered (ordinal sorting), following a consistency principle. We consider the principle that if an alternative outranks (is as good as) a second one, then it must belong to the same category or to a better category. The set of alternatives already sorted by the decision maker will implicitly define the categories, and will constrain the range of categories where other alternatives may be sorted. We show how the same idea may be used in an aggregation/disaggregation approach, considering some parameters of ELECTRE are not fixed a priori, but are constrained only by the examples provided. In this context, we establish a “convex-shape property” stating that the range of possible categories for an alternative is always an interval of categories. A discussion contrasting this approach with ELECTRE TRI is included in the conclusions