Reduction of pairwise comparisons in decision making via a duality approach

Although pairwise comparisons have been seen by many as an effective and intuitive way for eliciting qualitative data for multi‐criteria decision making problems, a major drawback is that the number of the required comparisons increases quadratically with the number of the entities to be compared. Thus, often even data for medium size decision problems may be impractical to be elicited via pairwise comparisons. The more the comparisons are, the higher is the likelihood that the decision maker will introduce erroneous data. This paper introduces a dual formulation to a given multi‐criteria decision making problem, which can significantly alleviate the previous problems. Some theoretical results establish that this is possible when the number of alternatives is greater than the number of decision criteria plus one. Copyright © 1999 John Wiley & Sons, Ltd.     

Detecting local convexity on the pareto surface

Recent regain in interest in multi‐criteria optimization approaches to provide a designer with multiple solutions to select from and support decisions has led to various methodologies to generate such solutions and possibly approximate the Pareto set. This paper introduces the notions of H‐ and w‐convexities, and develops a simple method to identify local convexity of Pareto hyper‐surfaces since their shape can dictate the choice of the method to use to obtain Pareto solutions and possibly to build an approximation of that set. The method is based on comparing the results from the weighting method to those of the Tchebycheff method at any point on the Pareto hyper‐surface. If, under some conditions, the points obtained from the two methods are identical or not, a local convexity or its lack can be assumed at that location and in its immediate neighbourhood. A numerical example is included. Copyright © 2002 John Wiley & Sons, Ltd.     

Material handling device selection in cellular manufacturing

This paper presents a new multi‐criteria decision model for the material handling device (MHD) selection problem in cellular manufacturing systems. Given a set of manufacturing cells based on several automatic work‐centres, the technique makes it possible to select a particular MHD for each cell in an integrated way, with different constraints being taken into consideration. The approach is based on two different multi‐attribute analyses executed with analytic hierarchy process (AHP) methodology, and a final integer linear programming including important limitations faced by the designer when making MHD investment decisions. An example using real data is provided to illustrate this methodology. Copyright © 2002 John Wiley & Sons, Ltd.     

关于高级内隐认知研究方法的一点浅见

本文对加工分离程序应用于高级内隐认知加工的可能性作了论证,并以内隐学习研究为例,进行了实验检验,证明其切实可行.     

The contributions of multi‐criteria decision making to the development of decision support systems subspecialties: an empirical investigation

This study focuses on examining the structure of decision support systems (DSS) research, with a particular emphasis on assessing the contributions of multi‐criteria decision making (MCDM) to the development of each of the DSS subspecialty areas. This study traces how concepts and findings by researchers in the MCDM area have been picked up by DSS researchers to be applied, extended and refined in the development of DSS research subspecialties. In doing so, factor analysis is applied to an author cocitation frequency matrix derived from a large database file of comprehensive DSS literature. This study concludes that researchers in the MCDM area have made crucial contributions to the development of DSS research subspecialties. Copyright © 1999 John Wiley & Sons, Ltd.     

Numerical and verbal decision analysis: comparison on practical cases

Numerical decision analysis (NDA), derived from statistical decision theory, is very well known. Verbal decision analysis (VDA), oriented towards so‐called unstructured problems, where the qualitative and uncertain factors dominate, is a newer direction in decision theory and practice. Verbal and numerical decision analyses (DAs) have been compared in an experimental setting, with groups of students. This paper presents the results of a comparison in the context of live practical tasks. Both approaches were attempted on two comparable choices, facing both Russian and US government agencies, involving a choice between oil and gas transportation options. The resulting methodological insights are generalized into a systematic comparison of the strong and weak features of each approach. Copyright © 2000 John Wiley & Sons, Ltd.     

Invited Review—Survey of Value‐Focused Thinking: Applications,Research Developments and Areas for Future Research

Criteria are the central focus of multi‐criteria decision analysis. Many authors have suggested using our values (or preferences) to define the criteria we use to evaluate alternatives. Value‐focused thinking (VFT) is an important philosophy that advocates a more fundamental view of values in our decision making in our private and professional lives. VFT proponents advocate starting first with our values and then using our values to create decision opportunities, evaluate alternatives and finally develop improved alternatives. It has been 20 years since VFT was first introduced by Ralph Keeney. This paper surveys the VFT literature to provide a comprehensive summary of the significant applications, describe the main research developments and identify areas for future research. We review the scope and magnitude of VFT applications and the key developments in theory since VFT was introduced in 1992 and found 89 papers written in 29 journals from 1992 to 2010. We develop about 20 research questions that include the type of article (application, theory, case study, etc.), the size of the decision space (which, when given, ranged from $200K to billions of dollars), the contribution documented in the article (application benefits) and the research contributions (categorized by preferences, uncertainties and alternatives). After summarizing the answers to these questions, we conclude the paper with suggestions for improving VFT applications and potential future research. We found a large number of significant VFT applications and several useful research contributions. We also found an increasing number of VFT papers written by international authors. Copyright © 2012 John Wiley & Sons, Ltd.     

An Approach to Multi‐Criteria Decision Problems Under Severe Uncertainty

Solving complex decision problems is a demanding task; it requires determining and evaluating the consequences of decision alternatives. To this end, uncertain factors that can only partly be influenced by the decision makers, and their interdependencies need to be considered. Scenarios focus on this part of the decision problem; they enable a systematic exploration of a multitude of possible future developments that are relevant for the decision including external events and decisions made. Scenarios are particularly useful when the problem is pervaded by severe uncertainties that cannot be quantified. For the evaluation of alternatives, multiple objectives and the potentially diverging preferences of the involved actors need to be respected. Multi‐criteria decision analysis aims at structuring the problem, evaluating the alternatives and supporting decision makers pursuing multiple goals. We propose an approach integrating scenarios and multi‐criteria decision analysis that focuses on the robustness of alternatives in complex, dynamic, uncertain and time‐bound situations. In this integrated framework, the scenarios provide the basis for evaluating a set of alternatives. Ideally, the set of scenarios considered captures all possible future developments. To appropriately explore this set, formal or analytical approaches to scenario construction generate a large number of scenarios. This challenges the decision makers' information‐processing capacity. To support them in managing the richness of information, a two‐fold approach that uses selection and aggregation is presented. By using a selection method, the scenarios that are deemed most relevant are identified, and their evaluations are presented in detail to decision makers. This approach is complemented by an aggregation of scenario evaluations on the basis of the decision makers' preferences. We present two approaches to facilitate the preference elicitation process. Copyright © 2013 John Wiley & Sons, Ltd.     

Juvenile prostitution and community rehabilitation: an exploratory analysis of beliefs and values

A community, juvenile prostitution rehabilitation programme in Bogotá, Colombia, South America is described; and beliefs and values of the residents were explored. Multiple sorting procedures and multi‐dimensional scaling analysis elicited qualitative, structured, self‐report data, and investigated cognitive constructs. Participants discriminated between belief‐statements along two global dimensions: street‐life and prostitution; and rehabilitation. These were comprised of qualitatively different elements. Clinical implications for interventions with this group and the rehabilitation programme are discussed. Copyright © 2007 John Wiley & Sons, Ltd.