Fuzzy strict preference and social choice

DOI10.1016/j.fss.2005.05.001zbMath1135.91345OpenAlexW2048301272MaRDI QIDQ2568307

Nicolas Gabriel Andjiga, Louis Aimé Fono

Publication date: 10 October 2005

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2005.05.001

zbMATH Keywords

Arrow impossibility theoremFuzzy preferenceGibbard's oligarchy theoremMax-*-transitivityRegular fuzzy strict preference

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Reasoning under uncertainty in the context of artificial intelligence (68T37) Group preferences (91B10) Social choice (91B14)

Related Items (17)

Fuzzy implication operators for difference operations for fuzzy sets and cardinality-based measures of comparison ⋮ On strict lower and upper sections of weakly complete fuzzy pre-orders based on co-implication ⋮ On a New Class of Fuzzy Coimplications Derived from Generalizedh-Generators and Fuzzy Negations ⋮ Utility function of fuzzy preferences on a countable set under max-\(*\)-transitivity ⋮ On some oligarchy results when social preference is fuzzy ⋮ Arrow's theorem and max-star transitivity ⋮ Continuity of utility functions representing fuzzy preferences ⋮ Fuzzy Arrovian Theorems when preferences are complete ⋮ Arrow-type results under fuzzy preferences based on filter and ultrafilter ⋮ Manipulating an aggregation rule under ordinally fuzzy preferences ⋮ Fuzzy topologies generated by fuzzy relations ⋮ FACTORIZATION OF INTUITIONISTIC FUZZY PREFERENCE RELATIONS ⋮ A binary intuitionistic fuzzy relation: some new results, a general factorization, and two properties of strict components ⋮ Fuzzy Arrow-type results without the Pareto principle based on fuzzy pre-orders ⋮ ARROW-TYPE RESULTS UNDER INTUITIONISTIC FUZZY PREFERENCES ⋮ FUZZY BLACK'S MEDIAN VOTER THEOREM: EXAMINING THE STRUCTURE OF FUZZY RULES AND STRICT PREFERENCE ⋮ INDEPENDENCE OF IRRELEVANT ALTERNATIVES AND FUZZY ARROW'S THEOREM

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