The Characteristic Objects Method: A New Distance‐based Approach to Multicriteria Decision‐making Problems

Multicriteria decision‐making (MCDM) methods are concerned with the ranking of alternatives based on expert judgements made using a number of criteria. In the MCDM field, the distance‐based approach is one popular method for obtaining a final ranking. The technique for order preference by similarity to the ideal solution (TOPSIS) is a commonly used example of this kind of MCDM method. The TOPSIS ranks the alternatives with respect to their geometric distance from the positive and negative ideal solutions. Unfortunately, two reference points are often insufficient, especially for nonlinear problems. As a consequence of this situation, the final result ranking is prone to errors, including the rank reversals phenomenon. This study proposes a new distance‐based MCDM method: the characteristic objects method. In this approach, the preferences of each alternative are obtained on the basis of the distance from the nearest characteristic objects and their values. For this purpose, we have determined the domain and Fuzzy number set for all the considered criteria. The characteristic objects are obtained as the combination of the crisp values of all the Fuzzy numbers. The preference values of all the characteristic object are determined on the basis of the tournament method and the principle of indifference. Finally, the Fuzzy model is constructed and is used to calculate preference values of the alternatives, making it a multicriteria model that is free of rank reversal. The numerical example is used to illustrate the efficiency of the proposed method with respect to results from the TOPSIS method. The characteristic objects method results are more realistic than the TOPSIS results. Copyright © 2014 John Wiley & Sons, Ltd.     

An Interactive Approach for Multicriteria Decision Making Using a Tchebycheff Utility Function Approximation

Multicriteria decision making (MCDM) can provide an efficient mean for considering various and conflicting objectives to reveal the alternative that maximizes the decision maker's (DM) utility. In this paper, we propose a new interactive MCDM method for implicit alternatives to help a DM obtain a most preferred solution. We employ a Tchebycheff function to generate weights for objectives consistent with the DM's responses to pairwise comparisons between alternatives and present a mixed integer linear programming formulation to generate these weights. Thus, we approximate the DM's utility function by a Tchebycheff function and generate weights consistent with the DM's responses. We test our approach with different true utility functions on various sized multiple criteria linear programming problems. The computational results show that even with non‐Tchebycheff true utility functions, our method can generate alternatives very close to the optimal solution with few questions. The comparison of our results with other methods reveals its advantages. Copyright © 2013 John Wiley & Sons, Ltd.     

The use of partial information on weights in multicriteria decision problems

This paper addresses multicriteria decision problems in which only partial information is given in the decision-making process. We generalize existing results about preference relations induced by nonnegative inverse matrices, allowing linear relations on weights with upper and lower bounds. In addition we develop conditions for additional information that preserve the special properties studied and show how to incorporate the new information to the model. © 1998 John Wiley & Sons, Ltd.     

A Multicriteria Decision‐Making Application to the Conceptual Design of Mechanical Components

Early design is crucial for the success of the final product. In the conceptual design phase, several constraints, criteria, objectives and disciplines have to be considered. To this aim, multidisciplinary optimization has proven effective for the solution of engineering design problems, even in the industrial every‐day practice, to improve and simplify the work of designers in a successful quest of the best compromise solution. In this paper, a multicriteria decision‐making (MCDM)‐based design platform for early optimal design of industrial components is proposed. In a group decision‐making context, the selection of the most suitable component among several possible layouts is performed by means of a group Fuzzy Technique for Order of Preference by Similarity to Ideal Solution approach. Hence, a multi‐objective optimization is performed on the selected component by applying a multi‐objective particle swarm optimization for finding optimal component dimensions. An industrial case study is presented for showing the efficiency of the multicriteria decision‐making‐based design platform, regarding an innovative and low‐cost solution to increase the duration of heel tips in women's shoes. Copyright © 2016 John Wiley & Sons, Ltd.     

On the Proper Interpretation and Impact of the AHP Axiom of Independence in Single-Criterion and Multiple-Criteria Problems

Some authors have proposed that the analytic hierarchy process (AHP) axiom of independence be relaxed to accommodate observations drawn from (a) examples of pairwise comparisons of alternatives in clusters in single-criterion AHP problems and (b) examples of problems in which the criteria have the same underlying measurement and both the achievement of the goal and the alternatives are measured objectively. We show that the illustrations given are actually single-criterion problems according to the AHP. Thus the AHP axiom of independence is inapplicable in both situations and therefore not violated. We also consider the consequence of failure to distinguish between a criterion as an attribute of alternatives and cluster of alternatives, the two being different in the hierarchic structure. Finally, we discuss transformable problems, which look like multicriteria problems but are actually single-criterion problems, and how failure to recognize this fact may lead to incorrect syntheses and false conclusions.     

When the best appears to be saved for last: Serial position effects on choice

Decision‐makers often evaluate options sequentially due to constraints on attention, timing, or physical location of the options. Choosing the best option will therefore often depend on people's memories of the options. Because imperfect recall introduces uncertainty in earlier options, judgments of those options should regress toward the category mean as memory decays over time. Relatively desirable options will therefore tend to seem less desirable with time, and relatively undesirable options will tend to seem less undesirable with time. We therefore predicted that people will tend to select the first option in a set when choosing between generally undesirable options, and will tend to select the last when choosing between generally desirable options. We demonstrate these serial position effects in choices among paintings, American Idol audition clips, jellybeans, and female faces, provide evidence of its underlying mechanism, and explain how these findings build on existing accounts. Copyright © 2009 John Wiley & Sons, Ltd.     

Determining the implementation order of a general plan by using a multicriteria method

We describe a real-life application of a new multicriteria method in the context of assisting the decision-making for a general plan in the municipality of Kirkkonummi in Uusimaa, Finland. At the time our group started working on the problem, a proposal for an overall plan had already been completed, but the order in which different regional parts of the plan should be implemented needed to be considered based on the environmental impact assessment (EIA) procedure. The EIA procedure generated a large amount of data about the different impacts of the alternatives. For this group decision making problem we developed the SMAA-3 decision support method which does not require any explicit preference information from the decision makers during the procedure. The uncertainty of the basic data is modelled using ELECTRE III-type pseudo-criteria with preference and indifference thresholds. © 1998 John Wiley & Sons, Ltd.     

The modified star graph and the petal diagram: two new visual aids for discrete alternative multicriteria decision making

Many studies have looked into the provisions of visual aids to multicriteria decision making. However, most of them have separated the display of alternative profiles and criteria weight information into two displays. This makes the analysis of the relationship between the criteria and alternatives and the effect of changing the criteria weights on the decision difficult. In this study, displays that can incorporate the display of both alternative profiles and criteria weight information for discrete alternative multicriteria decision-making problems are examined. The simple additive model is the multicriteria analysis method used. The result is two new visual aids for representing data of multicriteria decision-making problems, the modified star graph and the petal diagram. This paper discusses the two displays and compares their strengths and weaknesses. The results of a preliminary test conducted to evaluate the effectiveness of the displays are also included. © 1998 John Wiley & Sons, Ltd.     

An outcomes model of medical decision making

In the traditional fix-it model of medical decision making, the identified problem is typically characterized by a diagnosis that indicates a deviation from normalcy. When a medical problem is multifaceted and the available interventions are only partially effective, a broader vision of the health care endeavor is needed. What matters to the patient, and what should matter to the practitioner, is the patient's future possibilities. More specifically, what is important is the character of the alternative futures that the patient could have and choosing among them so as to achieve the best future possible, with the ranking of outcomes determined by the patient's preferences. This paper describes the fix-it model, presents and defends the outcomes-based model, and demonstrates that the latter is useful in developing normative conceptions of informed consent and decision making and in establishing a basis for societal involvement in the decision making process. Finally, several shortcomings of the model will be acknowledged.     

An interactive multicriteria decision model for multipurpose reservoir management: the Shellmouth Reservoir

Reservoir management is inherently multicriterial, since any release decision involves implicit trade-offs between various conflicting objectives. The release decision reflects concerns such as flood protection, generation of hydroelectric power, dilution of wastewater and heated effluent, supply of municipal, agricultural and industrial water, maintenance of environmental standards and satisfaction of recreational needs. This paper presents a framework for analysing trade-offs between several decision criteria and includes the dilution of heated effluents from downstream thermoelectric power generation in an optimization model for reservoir management. The model is formulated and analysed in an interactive multicriteria decision-making (MCDM) modelling framework. Rather than providing specific target levels or ad hoc constants in a goal-programming framework as proposed elsewhere, this multicriteria framework suggests a systematic way of evaluating trade-offs by progressive preference assessment. The MCDM model, based on a Chebyshev metric and a contracted cone approach, is learning-oriented and permits a natural exploration of the decision space while maintaining non-dominated decisions. A detailed case study of the Shellmouth Reservoir in Manitoba, Canada serves as an illustration of the model. © 1998 John Wiley & Sons, Ltd.     

An application of the prototype willingness model to drivers' speeding behaviour

We tested the prototype willingness model (PWM). The participants (N = 198) completed online questionnaire measures of PWM constructs (Time 1) and subsequent speeding behaviour (Time 2). Path analyses showed that the PWM accounted for 89% of the variance in subsequent (self‐reported) speeding behaviour. This significantly exceeded the variance accounted for by the theory of planned behaviour. In line with the PWM, both behavioural intention and behavioural willingness had direct effects on behaviour. Behavioural willingness had a significantly larger effect. Attitude and subjective norm both had indirect effects on behaviour through both behavioural intention and behavioural willingness. Prototype (similarity) perceptions had indirect effects on behaviour through behavioural willingness only. The findings support the notion that driving is governed by reactive decision‐making (willingness), underpinned by prototype perceptions, attitudes and subjective norms, to a greater extent than it is deliberative decision‐making (intentions), underpinned by attitudes and subjective norms. The implications for safety interventions are discussed.     

It Was a Most Unusual Time: How Memory Bias Engenders Nostalgic Preferences

Nostalgic preferences are widespread—people believe past movies, music, television shows, places, and periods of life to have been better than their present counterparts. Three experiments explored the cognitive underpinnings of nostalgic preferences. Participants rated past experiences to have been superior to similar present and recent experiences. These nostalgic preferences appeared to be due to the belief that the atypically positive experiences that participants recalled at the time of judgment were more representative of their past experiences than of their present experiences. Copyright © 2012 John Wiley & Sons, Ltd.     

Application of GIS and multicriteria evaluation in locating sustainable boundary between the tunari National Park and Cochabamba City (Bolivia)

Increased population growth and urbanization, has caused increase in demand for land around the city of Cochabamba, which has led to encroachment into the National Park and the construction of illegal settlements. This has created a number of problems, some of which are the direct consequences of the new settlements in the ‘Tunari’ foothills. These settlements constitute a threat to the environment and people because of their location in flood risk and aquifer recharge areas. In response to this problem the city authorities are considering relocating the boundary between the National Park and the city. This study has focused on the design and evaluation of alternative locations for a sustainable boundary between the north of ‘Cochabamba City’ and the southern boundary of the ‘Tunari National Park’. In this process, a rational and systematic approach of collaborative‐decision‐making, supported by geographical information systems (GIS) and multicriteria evaluation (MCE) has been employed and evaluated. Copyright © 2003 John Wiley & Sons, Ltd.     

The transience of constructed preferences

A large body of research suggests that preferences are constructed rather than merely accessed in the course of making decisions. The current research examines the stability of constructed preferences over time. Preferences for various factors relevant to a job choice were measured prior to presentation of the job‐choice task, at the point of decision, and again following a delay. It was found that relative to baseline pre‐decision levels, preferences shifted to provide stronger support for the emerging decision. Preference changes proved to be transient, receding to baseline after 1 week (Experiment 1), and even within 15 minutes (Experiment 2). These findings, which can be interpreted in terms of decision‐making by constraint satisfaction, suggest that preferences are constructed to serve the decision at hand, without constraining the decision maker in future decisions. Copyright © 2007 John Wiley & Sons, Ltd.     

Deflecting Arrow by Aggregating Rankings of Multiple Correlated Criteria According to Borda

This paper has two objectives. The first is to review and address concerns raised by Hazelrigg that Arrow's impossibility theorem prevents the selection of rational aggregation methods for use in engineering trade studies. In addressing these concerns, the work of Saari is cited to establish the fact that the Borda count is the only ‘non‐dictatorial’ positional voting method that satisfies the criteria for a rational decision procedure while using complete information. Hence, the resulting rank ordering of the alternatives is the most reliable outcome. Several previous studies that use other aggregation methods are critiqued, and Borda is applied to examples to illustrate the differences in the outcomes. The second objective is to extend the applicability of Borda to include attributes such as cost, schedule duration, and certain technical and performance measures that are generally more reasonably described as correlated random variables. Exact Probabilities by Simulation with Borda, a method introduced by Hulkower that improves a technique by Book for determining which candidate in a trade study is the probable lowest‐cost alternative, is generalized to include multiple correlated criteria, each of which is expressed as a random variable and thus incorporates probabilistic uncertainty. Copyright © 2016 John Wiley & Sons, Ltd.     

Intersubjective cultural representations predicting behaviour: The case of political culture and voting

Research has shown that cultural identification is influenced by the congruence between people's personal values and intersubjectively represented cultural values. The current research extended this finding to voter choice and behaviour. We hypothesized that people whose values and attitudes are similar to the collective representations of the political party that an election candidate belongs to would be more likely to vote for that candidate. Also, this relationship would be mediated by party identification. We found support for our hypotheses in two studies, one on the Legislative Council election in Hong Kong and the other on the 2004 US presidential election.     

The decision tree polytope and its application to sequential decision problems

This paper describes a new mathematical programming approach to sequential decision problems that have an underlying decision tree structure. The approach, based upon a characterization of strategies as extreme points of a 0–1 polytope called the ‘decision tree polytope’, is particularly suited to the direct examination of risk-return and other tradeoffs amongst strategies. However, it can also be used for conventional utility maximization if a utility function is available. Further, the approach requires no algorithmic development—it can be implemented using commercially available algebraic modeling software and can solve large problems. A related, and already known, approach can be used for some more general Markov decision problems. © 1998 John Wiley & Sons, Ltd.     

Time pressure and the application of decision rules: Choices and judgments among multiattribute alternatives

The effects of time pressure on decisions and judgments were studied and related to the use of different decision rules in a multiattribute decision task. The decision alternatives were students described by their high school grades in Swedish, Psychology and Natural Science. The subjects were asked to choose the student they thought would be most able to follow a university program and graduate as a school psychologist. On the basis of earlier findings using the same kind of decision task (Svenson et al., 1990) it was hypothesised that subjects under time pressure would prefer candidates having the maximum grade across all attributes to a greater extent than subjects under no time pressure. Furthermore, it was hypothesised that subjects under time pressure would also focus more on the most important attribute and choose the alternatives being best on that attribute. The results supported these hypotheses.     

情绪和任务框架对自我和预期他人决策时风险偏好的影响

两个实验考察了情绪和任务框架对自我和预期他人决策时风险偏好的影响。结果表明:(1)获益框架下,悲伤情绪比愉悦情绪诱发更强的风险偏好,自我决策比预期他人决策表现出更强的风险偏好;(2)损失框架下,愉悦情绪比悲伤情绪诱发更强的风险偏好,预期他人决策比自我决策表现出更强的风险偏好;(3)在自我决策时,愉悦情绪在损失框架下比在获益框架下诱发了更强的风险偏好,悲伤情绪在获益框架下比在损失框架下诱发了更强的风险偏好;在预期他人决策时,无论是愉悦情绪还是悲伤情绪,损失框架均比获益框架诱发了更强的风险偏好。