An Experiment on the Numerical Modelling of Verbal Ratio Statements

Verbal statements are intuitively attractive for preference elicitation. In the analytic hierarchy process (AHP) the verbal responses to pairwise comparisons of relative importance are converted into real numbers according to the nine-point integer scale. Several alternative scales have been proposed for the conversion, but sufficient empirical evidence has not been produced to support the choice among these scales. We performed a comparative study in which subjects were requested to quantify verbal ratio statements by adjusting the heights of visually displayed bars. Subjects were also asked to employ verbal expressions in pairwise comparisons of areas of figures with different shapes. The principal result of the experiment was that the perceived meaning of the verbal expressions varies from one subject to the next and also depends on the set of elements involved in the comparison. Our results indicate that there are alternative numerical scales which yield more accurate estimates than the usual 1-to-9 scale and reduce the inconsistency of the comparison matrices. Alternative ways of using verbal preference statements are suggested to overcome the difficulties that arise from the context dependence of verbal pairwise comparisons. © 1997 John Wiley & Sons, Ltd.     

On the measurement of preferences in the analytic hierarchy process

In this paper we apply multiattribute value theory as a framework for examining the use of pairwise comparisons in the analytic hierarchy process (AHP). On one hand our analysis indicates that pairwise comparisons should be understood in terms of preference differences between pairs of alternatives. On the other hand it points out undesirable effects caused by the upper bound and the discretization of any given ratio scale. Both these observations apply equally well to the SMART procedure which also uses estimates of weight ratios. Furthermore, we demonstrate that the AHP can be modified so as to produce results similar to those of multiattribute value measurement; we also propose new balanced scales to improve the sensitivity of the AHP ratio scales. Finally we show that the so-called supermatrix technique does not eliminate the rank reversal phenomenon which can be attributed to the normalizations in the AHP. © 1997 John Wiley & Sons, Ltd.     

Clustering,dependence and ratio scales in AHP: Rank reversals and incorrect priorities with a single criterion

In the analytic hierarchy process, it is often thought that rank reversals cannot occur in a single-criterion problem. This paper demonstrates that if it is necessary to cluster items under a single criterion, such reversals are possible. The reversals occur prior to aggregating across clusters and are caused by a failure to make reference to the alternatives when performing criteria comparisons. Rank reversals, however, are only a symptom of the problem. The real problem is a failure to calibrate global weights to a common scale which spans different clusters. Even in the absence of reversals, aggregated weights from the AHP's relative mode of measurement can fail to maintain composite ratio relationships.     

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.     

Mobility as a service and sustainable travel behaviour: A thematic analysis study

Mobility as a Service (MaaS) is a novel brand of transport that promises to replace private cars with multimodal personalised mobility packages enabled by a digital platform capable of integrating travel planning, booking and ticketing, and real-time information services. It is an intervention that through its digitisation, connectivity, information and sharing merits intends to inspire and support the transition to a more sustainable mobility paradigm. Recent research suggests, however, that the potential uptake of MaaS might not be overwhelming; current car drivers could face considerable difficulties in bypassing their personal car for it and, more worryingly, future MaaS users may substitute not only personal car trips but also public transport journeys with car-sharing and ride-sharing services. This means that MaaS might not be able to create travel behaviour change, and even if it does, the changes may not be always towards the right direction. Through conducting 40 semi-structured interviews in three different UK cities, namely London, Birmingham and Huddersfield, and employing a robust Thematic Analysis approach, this study explores the factors underpinning the uptake and potential success of MaaS as a sustainable travel mechanism. The challenges and opportunities reflecting and affecting potential for responsible MaaS usage refer to five core themes Car Dependence; Trust; Human Element Externalities; Value; and Cost, each of them with distinctive and diverse dimensions. Policy-makers and mobility providers should realise that MaaS success relies on changing people’s attitudes to private cars (something very challenging) and thus they should incentivise responsible MaaS use, promote public transport as its backbone, use public engagement exercises and trials to expose people to the concept and somewhat demonise private car ownership and car use.     

The Holy and Great Council – Communication of the Church Message

The article examines the impressions of observers about the Holy and Great Council in Crete in 2016 that have been most discussed, above all a strong competition between national churches and their leaders, and an enormous discrepancy between the agendas seen as urgent by hierarchs and by laypeople. While the fathers of the council based their work on categories of late antiquity, communicating a lack of interest about the “secular” reality, laypeople have stressed a hermeneutic rethinking of Byzantine identity, of Orthodox hermeneutics, of making people aware of and interpreting the historical heritage of Orthodoxy. On the one hand, observers received a message of a lack not only of Orthodox unity, but even of the interpretation of what that unity should consist of. On the other hand, the council unintentionally mobilized Orthodox people worldwide for unity, gathering at the first congress of the International Orthodox Theological Association three years after the council.     

Beyond Rasiowa's Algebraic Approach to Non-classical Logics

This paper reviews the impact of Rasiowa's well-known book on the evolution of algebraic logic during the last thirty or forty years. It starts with some comments on the importance and influence of this book, highlighting some of the reasons for this influence, and some of its key points, mathematically speaking, concerning the general theory of algebraic logic, a theory nowadays called Abstract Algebraic Logic. Then, a consideration of the diverse ways in which these key points can be generalized allows us to survey some issues in the development of the field in the last twenty to thirty years. The last part of the paper reviews some recent lines of research that in some way transcend Rasiowa's approach. I hope in this way to give the reader a general view of Rasiowa's key position in the evolution of Algebraic Logic during the twentieth century. This paper is an extended version of the invited talk given by the author at the conference Trends in Logic III, dedicated to the memory of A. MOSTOWSKI, H. RASIOWA and C. RAUSZER, and held in Warsaw and Ruciane-Nida from 23rd to 25th September 2005. Presented by Jacek Malinowski     

Triple Bottomline Many‐Objective‐Based Decision Making for a Land Use Management Problem

A land use many‐objective optimization problem for a 1500‐ha farm with 315 paddocks was formulated with 14 objectives (maximizing sawlog production, pulpwood production, milksolids, beef, sheep meat, wool, carbon sequestration, water production, income and Earnings Before Interest and Tax; and minimizing costs, nitrate leaching, phosphorus loss and sedimentation). This was solved using a modified Reference‐point‐based Non‐dominated Sorting Genetic Algorithm II augmented by simulated epigenetic operations. The search space had complex variable interactions and was based on economic data and several interoperating simulation models. The solution was an approximation of a Hyperspace Pareto Frontier (HPF), where each non‐dominated trade‐off point represented a set of land‐use management actions taken within a 10‐year period and their related management options, spanning a planning period of 50 years. A trade‐off analysis was achieved using Hyper‐Radial Visualization (HRV) by collapsing the HPF into a 2‐D visualization capability through an interactive virtual reality (VR)‐based method, thereby facilitating intuitive selection of a sound compromise solution dictated by the decision makers' preferences under uncertainty conditions. Four scenarios of the HRV were considered emphasizing economic, sedimentation and nitrate leaching aspects—giving rise to a triple bottomline (i.e. the economic, environmental and social complex, where the social aspect is represented by the preferences of the various stakeholders). Highlights of the proposed approach are the development of an innovative epigenetics‐based multi‐objective optimizer, uncertainty incorporation in the search space data and decision making on a multi‐dimensional space through a VR‐simulation‐based visual steering process controlled at its core by a multi‐criterion decision making‐based process. This approach has widespread applicability to many other ‘wicked’ societal problem‐solving tasks. Copyright © 2014 John Wiley & Sons, Ltd.     

A new look at the attribution of moral responsibility: The underestimated relevance of social roles

What are the main features that influence our attribution of moral responsibility? It is widely accepted that there are various factors which strongly influence our moral judgments, such as the agent’s intentions, the consequences of the action, the causal involvement of the agent, and the agent’s freedom and ability to do otherwise. In this paper, we argue that this picture is incomplete: We argue that social roles are an additional key factor that is radically underestimated in the extant literature. We will present an experiment to support this claim.