A statistical approach to the analytic hierarchy process with interval judgements. I: Distributions on feasible regions

DOI10.1016/S0377-2217(97)00245-2zbMath0934.91014WikidataQ127185887 ScholiaQ127185887MaRDI QIDQ1303711

Linda M. Haines

Publication date: 11 November 1999

Published in: European Journal of Operational Research (Search for Journal in Brave)

zbMATH Keywords

analytic hierarchy processuniform distributionpreferencesinterval judgementdistribution of random convex combinations

Mathematics Subject Classification ID

Decision theory (91B06) Management decision making, including multiple objectives (90B50) Individual preferences (91B08)

Related Items (28)

Link function selection in stochastic multicriteria decision making models ⋮ A fuzzy approach to deriving priorities from interval pairwise comparison judgements ⋮ Some models for deriving the priority weights from interval fuzzy preference relations ⋮ An eigenvector method for generating normalized interval and fuzzy weights ⋮ A goal programming method for obtaining interval weights from an interval comparison matrix ⋮ Using intervals for global sensitivity and worst-case analyses in multiattribute value trees ⋮ Examining alternatives in the interval analytic hierarchy process using complete enumeration ⋮ Evidential reasoning based preference programming for multiple attribute decision analysis under uncertainty ⋮ Probabilistic consistency of stochastic multiplicative comparison matrices based on Monte Carlo simulation ⋮ Logarithmic least squares approaches to deriving interval weights, rectifying inconsistency and estimating missing values for interval multiplicative preference relations ⋮ Consistency and optimized priority weight analytical solutions of interval multiplicative preference relations ⋮ Min-max decision rules for choice under complete uncertainty: axiomatic characterizations for preferences over utility intervals ⋮ A general unified framework for interval pairwise comparison matrices ⋮ An exact global optimization method for deriving weights from pairwise comparison matrices ⋮ A new fuzzy programming method to derive the priority vector from an interval reciprocal comparison matrix ⋮ Group decision making based on incomplete intuitionistic multiplicative preference relations ⋮ A two-stage logarithmic goal programming method for generating weights from interval comparison matrices ⋮ An information mining method for deriving weights from an interval comparison matrix ⋮ A statistical approach to multiple-attribute decision-making with interval numbers ⋮ The evidential reasoning approach for multi-attribute decision analysis under interval uncertainty ⋮ A stochastic AHP decision making methodology for imprecise preferences ⋮ A linear optimization problem to derive relative weights using an interval judgement matrix ⋮ Acceptable consistency analysis of interval reciprocal comparison matrices ⋮ Interval weight generation approaches based on consistency test and interval comparison matrices ⋮ A survey of preference relations ⋮ Mean utility in the assurance region model ⋮ An analysis of distributions of priority values from alternative comparison scales within AHP ⋮ A GP-AHP method for solving group decision-making fuzzy AHP problems

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• Polytope Volume Computation
• Comparison of eigenvalue, logarithmic least squares and least squares methods in estimating ratios
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• A Survey and Comparison of Methods for Finding All Vertices of Convex Polyhedral Sets
• Two Algorithms for Determining Volumes of Convex Polyhedra
• Upper and Lower Probabilities Generated by a Random Closed Interval

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