Group decision making and consensus under fuzzy preferences and fuzzy majority
Fuzzy Sets and Systems - Special issue dedicated to Professor Claude Ponsard
Fuzzy Sets and Systems
Computers and Operations Research
Aggregation of fuzzy opinions under group decision making
Fuzzy Sets and Systems
A rational consensus model in group decision making using linguistic assessments
Fuzzy Sets and Systems
The shortest distance among points in general position
Computational Geometry: Theory and Applications
Optimal consensus of fuzzy opinions under group decision making environment
Fuzzy Sets and Systems
A linguistic modeling of consensus in group decision making basedon OWA operators
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
A consensus model for multiperson decision making with different preference structures
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
An automatic approach to reaching consensus in multiple attribute group decision making
Computers and Industrial Engineering
Consensus models for AHP group decision making under row geometric mean prioritization method
Decision Support Systems
CDVE'09 Proceedings of the 6th international conference on Cooperative design, visualization, and engineering
A web based consensus support system for group decision making problems and incomplete preferences
Information Sciences: an International Journal
Expert Systems with Applications: An International Journal
Short Communication: A new optimal consensus method with minimum cost in fuzzy group decision
Knowledge-Based Systems
Maximum expert consensus models with linear cost function and aggregation operators
Computers and Industrial Engineering
Distance-based consensus models for fuzzy and multiplicative preference relations
Information Sciences: an International Journal
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Consensus is a pivotal concept in group decision making. Many times, such a consensus is achieved by the experts shifting their opinion towards a point of mutual consent. Such a shift in many cases is the result of laborious negotiations, which escalates the cost of reaching the consensus. Moreover, many times the group decision is multi-criteria oriented in which the experts need to agree on each criterion separately. This paper describes three problems where experts of unequal importance and with a linear cost of changing their opinion (opinion elasticity) consider a single and a multi-criteria decision consensus. These problems achieve a minimum cost consensus without a budget limit. It turns out that the optimal consensus point is at the median opinion for rectilinear cost function and at the weighted average opinion for squared geometric distance calculations. Linear-time algorithms are presented for all cost consensus problems with no budget limits. Proofs, computational complexity and examples are provided for these algorithms.