| 摘要 |
Methods for making collective decisions independent of irrelevant alternatives. A preferred alternative found, using weighted preference lists while restricting the impact of spoilers, is considered as Independent Collective Choice. If a list is required, it is added to an ordered list of Independent Collective Choices and removed from weighted lists, and finding, adding, and removing are repeated. When selection of a plurality of alternatives with proportional representation is required, the lowest ranked alternative in an Independent Collective Choice Ordered List is removed to find the alternatives with predetermined quota. Some embodiments apply collective choice procedures repeatedly to select the highest ranked alternative, compare the outcomes before and after the removal of alternative combinations, and use the selection of Independent Collective Choice recursively and iteratively when selecting highest or lowest ranked alternatives. Various embodiments can be in decision making systems including humans and machines for selection, sorting, and prediction problems.
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