A matrix approach to status quo analysis in the graph model for conflict resolution

DOI10.1016/j.amc.2009.02.051zbMath1220.68088OpenAlexW2014982378MaRDI QIDQ1026323

Kevin W. Li, D. Marc Kilgour, Hai-Yan Xu, Keith William Hipel

Publication date: 24 June 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://scholar.uwindsor.ca/cgi/viewcontent.cgi?article=1065&context=odettepub

zbMATH Keywords

matrix representationdecision support systemgraph model for conflict resolutionmultiple decision makersstatus quo analysis

Mathematics Subject Classification ID

Management decision making, including multiple objectives (90B50) Computing methodologies for information systems (hypertext navigation, interfaces, decision support, etc.) (68U35) Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.) (68T20)

Related Items (14)

A hierarchical graph model for conflict resolution with sequential moves ⋮ Coalition analysis with preference uncertainty in group decision support ⋮ Matrix representation of stability definitions in the graph model for conflict resolution with grey-based preferences ⋮ Alternating-pancyclism in 2-edge-colored graphs ⋮ Optimizing the cost of preference manipulation in the graph model for conflict resolution ⋮ A generalization of properly colored paths and cycles in edge-colored graphs ⋮ An integrated algebraic approach to conflict resolution with three-level preference ⋮ A new sufficient condition for the existence of alternating Hamiltonian cycles in 2-edge-colored multigraphs ⋮ Using matrices to link conflict evolution and resolution in a graph model ⋮ A consensus reaching model for 2-tuple linguistic multiple attribute group decision making with incomplete weight information ⋮ A matrix-based approach to searching colored paths in a weighted colored multidigraph ⋮ Vertex alternating-pancyclism in 2-edge-colored generalized sums of graphs ⋮ Some conditions for the existence of Euler \(H\)-trails ⋮ \(H\)-cycles in \(H\)-colored multigraphs

Cites Work

• Solution concepts in hypergames
• The decision support system GMCR in environmental conflict management
• Genetic algorithms for rerouting shortest paths in dynamic and stochastic networks
• Strength of preference in graph models for multiple-decision-maker conflicts
• A discrete-time recurrent neural network for shortest-path routing
• Status quo analysis in the graph model for conflict resolution

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