IMP: A decision aid for multiattribute evaluation using imprecise weight estimates

In multicriteria analysis, weights are inferred from judgements. Judgements are subject to uncertainty and the weights found depend on the method used so that weights must necessarily be imprecise. Describing weights by a suitable probability distribution captures this imprecision and leads to correspondingly imprecise estimates of the multiattribute scores given to alternatives. A method is described which enables the parameters of a Dirichlet distribution to be found from three point weight estimates and for this to be used to determine whether or not alternatives may justifiably be differentiated by their scores. A simple chart shows this information and permits easy interaction. An illustration shows the effects of different sources of imprecision and of aggregating individual assessments in a group.

• Publication year

  2014

• Venue

  Omega-international Journal of Management Science

• Publication date

  2014-12-01

• Fields of study

  Mathematics, Computer Science

• Identifiers
  DOI 10.1016/J.OMEGA.2014.05.001
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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  2013cited by this paper
• Visual and Interactive Comparative Analysis of Individual Opinions: A Group Decision Support Tool

  2013cited by this paper
• Comparing the validity of numerical judgements elicited by direct rating and point allocation: Insights from objectively verifiable perceptual tasks

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  2012cited by this paper
• Evaluation of the results of multi-attribute group decision-making with linguistic information

  2012cited by this paper
• Approaches to displaying information to assist decisions under uncertainty

  2012influential reference
• Using imprecise estimates for weights

  2011cited by this paper
• An experimental study of the effect of uncertainty representation on decision making

  2011cited by this paper
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  2010cited by this paper
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  2010cited by this paper
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  2010cited by this paper
• Stephen T. Ziliak and Deirdre N. McCloskey, The cult of statistical significance: how the standard error costs us jobs. justice and lives

  2010cited by this paper
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  2002cited by this paper
• Heuristics and Biases: The Psychology of Intuitive Judgment

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• SMAA-2: Stochastic Multicriteria Acceptability Analysis for Group Decision Making

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  1999cited by this paper
• The Effects of Integrating Cognitive Feedback and Multi-attribute Utility-Based Multicriteria Decision-Making Methods in GDSS

  1999cited by this paper
• Talking probabilities: communicating probabilistic information with words and numbers

  1999cited by this paper
• The Role of Context in the Communication of Uncertain Beliefs

  1998cited by this paper
• Experiences in elicitation

  1998cited by this paper
• Probabilistic judgments specified partially in the analytic hierarchy process

  1998cited by this paper
• A Psychometric Analysis of the "Divide and Conquer" Principle in Multicriteria Decision Making.

  1998cited by this paper
• SMAA - Stochastic multiobjective acceptability analysis

  1998cited by this paper
• The Stability of Judgmental Modelling: an Application in the Social Services

  1998cited by this paper
• A simulation approach for handling uncertainty in the analytic hierarchy process

  1998cited by this paper
• Simulation techniques for the sensitivity analysis of multi-criteria decision models

  1997cited by this paper
• Evaluating and Combining Subjective Probability Estimates

  1997cited by this paper
• An Applied Study Using the Analytic Hierarchy Process to Translate Common Verbal Phrases to Numerical Probabilities

  1997cited by this paper
• A probabilistic interpretation of the final rankings in AHP

  1997cited by this paper
• On The Calibration of Probability Judgments: Some Critical Comments and Alternative Perspectives

  1997cited by this paper
• Modeling and measuring the effects of vagueness in decision models

  1996cited by this paper
• Inferences from Multinomial Data: Learning About a Bag of Marbles

  1996cited by this paper
• The Analytic Hierarchy Process in an uncertain environment: A simulation approach

  1996cited by this paper
• Deviant Logic, Fuzzy Logic: Beyond the Formalism

  1996cited by this paper
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• Uncertainty in probabilistic risk assessment

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• Decision quality using ranked attribute weights

  1996cited by this paper
• Preference programming through approximate ratio comparisons

  1995cited by this paper
• Multiple significance tests: the Bonferroni method

  1995cited by this paper
• Cognitive Factors Affecting Subjective Probability Assessment

  1994cited by this paper
• Better estimation of PERT activity time parameters

  1993cited by this paper
• The impact of task complexity on information use in multi‐attribute decision making

  1993cited by this paper
• Behavioral influences on weight judgments in multiattribute decision making

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• Judgements under uncertainty: Heuristics and biases

  1984influential reference
• Judgement under Uncertainty: Heuristics and Biasses

  1983influential reference
• Science and Speculation Studies in Hellenistic Theory and Practice /Edited by Jonathan Barnes ... [Et Al.]. --. --

  1982cited by this paper
• On the Origins of the .05 Level of Statistical Significance

  1982cited by this paper
• The framing of decisions and the psychology of choice.

  1981cited by this paper
• Principles of Categorization

  1978cited by this paper
• Integration of fuzzy logical information.

  1977cited by this paper
• Knowing with Certainty: The Appropriateness of Extreme Confidence.

  1977cited by this paper
• A Simple Way of Developing a Probability Distribution of Present Value

  1976cited by this paper
• Cognitive Processes and the Assessment of Subjective Probability Distributions

  1975cited by this paper
• Numerical Encoding of Qualitative Expressions of Uncertainty

  1973cited by this paper
• On the subjective probability of compound events

  1973cited by this paper
• Judgment Estimates of the Moments of Pert Type Distributions

  1968cited by this paper
• The Assessment of Prior Distributions in Bayesian Analysis

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  1956cited by this paper
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  1894cited by this paper

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  2017cites this paper
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