Linear programming based decomposition approach in evaluating priorities from pairwise comparisons and error analysis

DOI10.1007/BF02191743zbMath0827.90087MaRDI QIDQ1893465

Evangelos Triantaphyllou

Publication date: 4 July 1995

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

analytic hierarchy processfuzzy setseigenvectorsartificial intelligencepairwise comparisonsmembership valuesreal-life decision-making

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Linear programming (90C05) Management decision making, including multiple objectives (90B50) Fuzzy and other nonstochastic uncertainty mathematical programming (90C70)

Related Items (7)

An intelligent decomposition of pairwise comparison matrices for large-scale decisions ⋮ Consistent clustering of entries in large pairwise comparison matrices ⋮ Development and evaluation of five fuzzy multiattribute decision-making methods ⋮ Uncertainty index based interval assignment by interval AHP ⋮ Are incomplete and self-confident preference relations better in multicriteria decision making? A simulation-based investigation ⋮ Modelling risk and uncertainty with the analytic hierarchy process ⋮ A Monte Carlo investigation of incomplete pairwise comparison matrices in AHP

Cites Work

• Applications of fuzzy set theory to mathematical programming
• Fuzzy sets and systems. Theory and applications
• A scaling method for priorities in hierarchical structures
• A comparison of two methods for determining the weights of belonging to fuzzy sets
• Fuzzy sets as a basis for a theory of possibility
• Exploring the interface between hierarchies, multiple objectives and fuzzy sets
• The concept of a linguistic variable and its application to approximate reasoning. I
• Minimization approach to membership evaluation in fuzzy sets and error analysis
• Reciprocal matrices with random coefficients
• An algorithm for region filling using two-dimensional grammars
• On the evaluation and application of different scales for quantifying pairwise comparisons in fuzzy sets
• Fuzzy sets
• Fuzzy algorithms
• Decision-Making in a Fuzzy Environment
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