Artificial Intelligence - Special volume on qualitative reasoning about physical systems
Where do we stand on measures of uncertainty, ambiguity, fuzziness, and the like?
Fuzzy Sets and Systems - Special Issue: Measures of Uncertainty
Group decision making and consensus under fuzzy preferences and fuzzy majority
Fuzzy Sets and Systems - Special issue dedicated to Professor Claude Ponsard
Thermodynamics of computation and information distance
STOC '93 Proceedings of the twenty-fifth annual ACM symposium on Theory of computing
A model of consensus in group decision making under linguistic assessments
Fuzzy Sets and Systems
Supporting facilitation in group support systems: techniques for analyzing consensus relevant data
Decision Support Systems
A rational consensus model in group decision making using linguistic assessments
Fuzzy Sets and Systems
Properties of measures of information in evidence and possibility theories
Fuzzy Sets and Systems
On Measuring Uncertainty and Uncertainty-Based Information: Recent Developments
Annals of Mathematics and Artificial Intelligence
Possibility Theory, Probability Theory and Multiple-Valued Logics: A Clarification
Annals of Mathematics and Artificial Intelligence
The Mathematical Bases for Qualitative Reasoning
IEEE Expert: Intelligent Systems and Their Applications
Variable precision rough set for group decision-making: An application
International Journal of Approximate Reasoning
The orders of magnitude models as qualitative algebras
IJCAI'89 Proceedings of the 11th international joint conference on Artificial intelligence - Volume 2
International Journal of Approximate Reasoning
IEEE Transactions on Fuzzy Systems
Analyzing consensus approaches in fuzzy group decision making: advantages and drawbacks
Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special Issue on Soft Computing in Decision Modeling; Guest Editors: Vicenc Torra, Yasuo Narukawa
A Consensus Model for Group Decision Making With Incomplete Fuzzy Preference Relations
IEEE Transactions on Fuzzy Systems
Using Qualitative Reasoning for a Recommender System
Proceedings of the 2010 conference on Artificial Intelligence Research and Development: Proceedings of the 13th International Conference of the Catalan Association for Artificial Intelligence
Ranking multi-attribute alternatives on the basis of linguistic labels in group decisions
Information Sciences: an International Journal
Using L-fuzzy sets to introduce information theory into qualitative reasoning
Fuzzy Sets and Systems
Allowing agents to be imprecise: A proposal using multiple linguistic terms
Information Sciences: an International Journal
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This paper presents a mathematical framework to assess the consensus found among different evaluators who use ordinal scales in group decision-making and evaluation processes. This framework is developed on the basis of the absolute order-of-magnitude qualitative model through the use of quantitative entropy. As such, we study the algebraic structure induced in the set of qualitative descriptions given by evaluators. Our results demonstrate that it is a weak partial semi-lattice structure that in some conditions takes the form of a distributive lattice. We then define the entropy of a qualitatively described system. This enables us, on the one hand, to measure the amount of information provided by each evaluator and, on the other hand, to consider a degree of consensus among the evaluation committee. This new approach is capable of managing situations where the assessment given by experts involves different levels of precision. In addition, when there is no consensus regarding the group decision, an automatic process assesses the effort required to achieve said consensus.