作者: MICHAEL B. GIBILISCO , JOHN N. MORDESON , TERRY D. CLARK
DOI: 10.1142/S179300571240011X
关键词: Fuzzy classification 、 Cardinal voting systems 、 Artificial intelligence 、 Type-2 fuzzy sets and systems 、 Machine learning 、 Median voter theorem 、 Defuzzification 、 Voting 、 Mathematical economics 、 Fuzzy number 、 Mathematics 、 Preference
摘要: Under certain aggregation rules, particular subsets of the voting population fully characterize social preference relation, and preferences remaining voters become irrelevant. In traditional literature, these types i.e. simple have received considerable attention because they produce non-empty maximal sets under single-peaked profiles but are particularly poorly behaved in multi-dimensional space. However, effects fuzzy relations on rules is largely unexplored. This paper extends analysis framework. doing so, we contribute to this literature by relaxing previous assumptions about strict illustrating that Black's Median Voter Theorem does not hold all conceptualizations set.