Independence of irrelevant alternatives and fuzzy Arrow's theorem (Q2873491)
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scientific article; zbMATH DE number 6250034
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Independence of irrelevant alternatives and fuzzy Arrow's theorem |
scientific article; zbMATH DE number 6250034 |
Statements
24 January 2014
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Arrow's theorem
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independence of irrelevant alternatives
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fuzzy preference profiles
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fuzzy aggregation rules
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nondictatorship
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Independence of irrelevant alternatives and fuzzy Arrow's theorem (English)
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The authors introduce three new types of independence of irrelevant alternative conditions. The introduced kinds of independence may be applied to the examination of Arrow's theorem. Some nondictatorial results are shown. There is a nondictatorial fuzzy aggregation rule which satisfies independence of irrelevant alternatives and the Pareto condition. Moreover, there are given many theorems presenting some generalizations of particular mathematical problems. All theorems are carefully proved.
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