Algebraic solution to box-constrained bi-criteria problem of rating alternatives through pairwise comparisons

DOI10.14736/kyb-2022-5-0665OpenAlexW4317435588MaRDI QIDQ5878528

Nikolai Krivulin

Publication date: 21 February 2023

Published in: Kybernetika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.09208

zbMATH Keywords

box constraintspairwise comparisonsidempotent semifieldPareto-optimal solutiontropical optimizationconstrained bi-criteria decision problem

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Multi-objective and goal programming (90C29) Management decision making, including multiple objectives (90B50) Max-plus and related algebras (15A80) Tropical optimization (e.g., max-plus optimization) (90C24)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Decision making and optimization. Special matrices and their applications in economics and management
• Max-algebra and pairwise comparison matrices. II.
• A note on the analysis of subjective judgement matrices
• A scaling method for priorities in hierarchical structures
• A common framework for deriving preference values from pairwise comparison matrices
• Direct solution to constrained tropical optimization problems with application to project scheduling
• Max-algebra and pairwise comparison matrices
• The analytic hierarchy process, max algebra and multi-objective optimisation
• Tropical implementation of the analytical hierarchy process decision method
• Using tropical optimization techniques in bi-criteria decision problems
• Pairwise comparisons method. Theory and applications in decision making
• Graphs, dioids and semirings. New models and algorithms.
• Extremal properties of tropical eigenvalues and solutions to tropical optimization problems
• A constrained tropical optimization problem: Complete solution and application example
• Pareto Optimality
• Comparison of eigenvalue, logarithmic least squares and least squares methods in estimating ratios
• Deriving weights from pairwise comparison matrices
• A multidimensional tropical optimization problem with a non-linear objective function and linear constraints
• Multicriteria Optimization
• On the Measurement of Intangibles. A Principal Eigenvector Approach to Relative Measurement Derived from Paired Comparisons

This page was built for publication: Algebraic solution to box-constrained bi-criteria problem of rating alternatives through pairwise comparisons