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  "body": "\n## Summary\n\nA fuzzy measure, also called a capacity or a monotone measure, is a set function that vanishes on the empty set and is monotone.\nIt drops the additivity of a [[measure|PR11BZQQPG]] and keeps only the rule that bigger sets get bigger values.\nFuzzy measures model the worth of coalitions in cooperative games and the importance of groups of criteria in decision making.\nOne integrates against them with the [[Choquet integral|36TXCRZ6GC]] or the Sugeno integral.\n\n## Explanations\n\n### L1 human\n\nSuppose several criteria judge a product, and a group of criteria gets a weight.\nTwo criteria that measure almost the same thing should not count twice, so the weight of the pair may be less than the sum of the two weights.\nTwo criteria that support each other may get more than the sum.\nA fuzzy measure allows both effects and asks only that adding a criterion never lowers the weight.\n",
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