{
  "_id": "6ac8d2d1de46216d5edd802e",
  "Package": "kappalab",
  "Version": "0.4-12",
  "Date": "2023-11-07",
  "Title": "Non-Additive Measure and Integral Manipulation Functions",
  "Author": "Michel Grabisch, Ivan Kojadinovic, Patrick Meyer.",
  "Maintainer": "Ivan Kojadinovic <ivan.kojadinovic@univ-pau.fr>",
  "Description": "S4 tool box for capacity (or non-additive measure, fuzzy\nmeasure) and integral manipulation in a finite setting. It\ncontains routines for handling various types of set functions\nsuch as games or capacities. It can be used to compute several\nnon-additive integrals: the Choquet integral, the Sugeno\nintegral, and the symmetric and asymmetric Choquet integrals.\nAn analysis of capacities in terms of decision behavior can be\nperformed through the computation of various indices such as\nthe Shapley value, the interaction index, the orness degree,\netc. The well-known Möbius transform, as well as other\nequivalent representations of set functions can also be\ncomputed. Kappalab further contains seven capacity\nidentification routines: three least squares based approaches,\na method based on linear programming, a maximum entropy like\nmethod based on variance minimization, a minimum distance\napproach and an unsupervised approach based on parametric\nentropies. The functions contained in Kappalab can for instance\nbe used in the framework of multicriteria decision making or\ncooperative game theory.",
  "Encoding": "UTF-8",
  "License": "CeCILL",
  "NeedsCompilation": "yes",
  "Packaged": {
    "Date": "2026-10-09 11:36:29 UTC",
    "User": "root"
  },
  "Repository": "https://cran.r-universe.dev",
  "Date/Publication": "2023-11-07 22:30:21 UTC",
  "RemoteUrl": "https://github.com/cran/kappalab",
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  "_expires": "2027-01-17T11:41:03.000Z",
  "_created": "2026-10-09T11:36:29.000Z",
  "_published": "2026-10-09T11:41:05.299Z",
  "_buildurl": "https://github.com/r-universe/cran/actions/runs/37924457480",
  "_status": "success",
  "_host": "GitHub-Actions",
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  "_upstream": "https://github.com/cran/kappalab",
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    "author": "Ivan Kojadinovic <ivan.kojadinovic@univ-pau.fr>",
    "committer": "cran-robot <csardi.gabor+cran@gmail.com>",
    "message": "version 0.4-12\n",
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  "_maintainer": {
    "name": "Ivan Kojadinovic",
    "email": "ivan.kojadinovic@univ-pau.fr"
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      "package": "R",
      "version": ">= 2.1.0",
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    {
      "package": "lpSolve",
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    },
    {
      "package": "quadprog",
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    },
    {
      "package": "kernlab",
      "role": "Depends"
    }
  ],
  "_owner": "cran",
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  "_usedby": 5,
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  "_stars": 0,
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    "name": "cran",
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    "description": "Unofficial read-only mirror of all CRAN R packages"
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  "_downloads": {
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    "source": "https://cranlogs.r-pkg.org/downloads/total/last-month/kappalab"
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  "_mentions": 1,
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  "_rbuild": "4.6.1",
  "_assets": [
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    "extra/citation.html",
    "extra/citation.json",
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    "extra/contents.json",
    "extra/kappalab.html",
    "extra/manual.pdf"
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  "_realowner": "cran",
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  "_releases": [
    {
      "version": "0.1-3",
      "date": "2005-07-09"
    },
    {
      "version": "0.2-0",
      "date": "2006-02-26"
    },
    {
      "version": "0.3-0",
      "date": "2006-09-30"
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    {
      "version": "0.4-0",
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    {
      "version": "0.4-1",
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    {
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      "date": "2008-07-16"
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    {
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  ],
  "_exports": [
    "additive.capacity",
    "as.capacity",
    "as.card.capacity",
    "as.card.game",
    "as.card.set.func",
    "as.game",
    "as.Mobius.capacity",
    "as.Mobius.card.set.func",
    "as.Mobius.game",
    "as.Mobius.set.func",
    "as.set.func",
    "capacity",
    "card.capacity",
    "card.game",
    "card.set.func",
    "cdf.Choquet.unif",
    "Choquet.integral",
    "conjugate",
    "entropy",
    "entropy.capa.ident",
    "expect.Choquet.norm",
    "expect.Choquet.unif",
    "favor",
    "game",
    "heuristic.ls.capa.ident",
    "interaction.indices",
    "is.cardinal",
    "is.kadditive",
    "is.monotone",
    "is.normalized",
    "k.truncate.Mobius",
    "least.squares.capa.ident",
    "lin.prog.capa.ident",
    "lower.capacity",
    "ls.ranking.capa.ident",
    "ls.sorting.capa.ident",
    "ls.sorting.treatment",
    "mini.dist.capa.ident",
    "mini.var.capa.ident",
    "Mobius",
    "Mobius.capacity",
    "Mobius.card.set.func",
    "Mobius.game",
    "Mobius.set.func",
    "normalize",
    "orness",
    "pdf.Choquet.unif",
    "rnd",
    "sd.Choquet.norm",
    "sd.Choquet.unif",
    "set.func",
    "Shapley.value",
    "show",
    "Sipos.integral",
    "Sugeno.integral",
    "summary",
    "to.data.frame",
    "uniform.capacity",
    "upper.capacity",
    "variance",
    "veto",
    "zeta"
  ],
  "_help": [
    {
      "page": "as.capacity-methods",
      "title": "Coercion method",
      "topics": [
        "as.capacity",
        "as.capacity,card.capacity-method",
        "as.capacity,set.func-method",
        "as.capacity-methods"
      ]
    },
    {
      "page": "as.card.capacity-methods",
      "title": "Coercion method",
      "topics": [
        "as.card.capacity",
        "as.card.capacity,capacity-method",
        "as.card.capacity,card.set.func-method",
        "as.card.capacity-methods"
      ]
    },
    {
      "page": "as.card.game-methods",
      "title": "Coercion method",
      "topics": [
        "as.card.game",
        "as.card.game,card.set.func-method",
        "as.card.game,game-method",
        "as.card.game-methods"
      ]
    },
    {
      "page": "as.card.set.func-methods",
      "title": "Coercion method",
      "topics": [
        "as.card.set.func",
        "as.card.set.func,Mobius.card.set.func-method",
        "as.card.set.func,Mobius.set.func-method",
        "as.card.set.func,set.func-method",
        "as.card.set.func-methods"
      ]
    },
    {
      "page": "as.game-methods",
      "title": "Coercion method",
      "topics": [
        "as.game",
        "as.game,card.game-method",
        "as.game,set.func-method",
        "as.game-methods"
      ]
    },
    {
      "page": "as.Mobius.capacity-methods",
      "title": "Coercion method",
      "topics": [
        "as.Mobius.capacity",
        "as.Mobius.capacity,Mobius.set.func-method",
        "as.Mobius.capacity-methods"
      ]
    },
    {
      "page": "as.Mobius.card.set.func-methods",
      "title": "Coercion method",
      "topics": [
        "as.Mobius.card.set.func",
        "as.Mobius.card.set.func,card.set.func-method",
        "as.Mobius.card.set.func,Mobius.set.func-method",
        "as.Mobius.card.set.func,set.func-method",
        "as.Mobius.card.set.func-methods"
      ]
    },
    {
      "page": "as.Mobius.game-methods",
      "title": "Coercion method",
      "topics": [
        "as.Mobius.game",
        "as.Mobius.game,Mobius.set.func-method",
        "as.Mobius.game-methods"
      ]
    },
    {
      "page": "as.Mobius.set.func-methods",
      "title": "Coercion method",
      "topics": [
        "as.Mobius.set.func",
        "as.Mobius.set.func,card.set.func-method",
        "as.Mobius.set.func,Mobius.card.set.func-method",
        "as.Mobius.set.func,set.func-method",
        "as.Mobius.set.func-methods"
      ]
    },
    {
      "page": "as.set.func-methods",
      "title": "Coercion method",
      "topics": [
        "as.set.func",
        "as.set.func,card.set.func-method",
        "as.set.func,Mobius.card.set.func-method",
        "as.set.func,Mobius.set.func-method",
        "as.set.func-methods"
      ]
    },
    {
      "page": "capacity-class",
      "title": "Class \"capacity\"",
      "topics": [
        "capacity-class"
      ]
    },
    {
      "page": "card.capacity-class",
      "title": "Class \"card.capacity\"",
      "topics": [
        "card.capacity-class"
      ]
    },
    {
      "page": "card.game-class",
      "title": "Class \"card.game\"",
      "topics": [
        "card.game-class"
      ]
    },
    {
      "page": "card.set.func.gen",
      "title": "Create objects representing cardinal set functions.",
      "topics": [
        "card.capacity",
        "card.game",
        "card.set.func",
        "lower.capacity",
        "uniform.capacity",
        "upper.capacity"
      ]
    },
    {
      "page": "card.set.func-class",
      "title": "Class \"card.set.func\"",
      "topics": [
        "card.set.func-class"
      ]
    },
    {
      "page": "Choquet.integral-methods",
      "title": "Choquet integral",
      "topics": [
        "Choquet.integral",
        "Choquet.integral,card.game,numeric-method",
        "Choquet.integral,game,numeric-method",
        "Choquet.integral,Mobius.game,numeric-method",
        "Choquet.integral-methods"
      ]
    },
    {
      "page": "conjugate-methods",
      "title": "The conjugate (or dual) transform",
      "topics": [
        "conjugate",
        "conjugate,capacity-method",
        "conjugate,card.capacity-method",
        "conjugate,card.set.func-method",
        "conjugate,set.func-method",
        "conjugate-methods"
      ]
    },
    {
      "page": "entropy-methods",
      "title": "Normalized entropy of a capacity",
      "topics": [
        "entropy",
        "entropy,capacity-method",
        "entropy,card.capacity-method",
        "entropy,Mobius.capacity-method",
        "entropy-methods"
      ]
    },
    {
      "page": "entropy.capa.ident",
      "title": "Unsupervised identification of a capacity from profiles",
      "topics": [
        "entropy.capa.ident"
      ]
    },
    {
      "page": "expect.Choquet.unif-methods",
      "title": "Expectation and standard deviation of the Choquet integral in the uniform and normal cases",
      "topics": [
        "expect.Choquet.norm",
        "expect.Choquet.norm,game-method",
        "expect.Choquet.norm,Mobius.game-method",
        "expect.Choquet.norm-methods",
        "expect.Choquet.unif",
        "expect.Choquet.unif,game-method",
        "expect.Choquet.unif-methods",
        "sd.Choquet.norm",
        "sd.Choquet.norm,game-method",
        "sd.Choquet.norm-methods",
        "sd.Choquet.unif",
        "sd.Choquet.unif,game-method",
        "sd.Choquet.unif-methods"
      ]
    },
    {
      "page": "favor-methods",
      "title": "Favor indices",
      "topics": [
        "favor",
        "favor,capacity-method",
        "favor,card.capacity-method",
        "favor,Mobius.capacity-method",
        "favor-methods"
      ]
    },
    {
      "page": "game-class",
      "title": "Class \"game\"",
      "topics": [
        "game-class"
      ]
    },
    {
      "page": "heuristic.ls.capa.ident",
      "title": "Heuristic least squares capacity identification",
      "topics": [
        "heuristic.ls.capa.ident"
      ]
    },
    {
      "page": "interaction.indices-methods",
      "title": "The Shapley interaction indices",
      "topics": [
        "interaction.indices",
        "interaction.indices,card.set.func-method",
        "interaction.indices,Mobius.set.func-method",
        "interaction.indices,set.func-method",
        "interaction.indices-methods"
      ]
    },
    {
      "page": "is.cardinal-methods",
      "title": "Test method",
      "topics": [
        "is.cardinal",
        "is.cardinal,card.set.func-method",
        "is.cardinal,Mobius.set.func-method",
        "is.cardinal,set.func-method",
        "is.cardinal-methods"
      ]
    },
    {
      "page": "is.kadditive-methods",
      "title": "Test method",
      "topics": [
        "is.kadditive",
        "is.kadditive,card.set.func,numeric-method",
        "is.kadditive,Mobius.set.func,numeric-method",
        "is.kadditive,set.func,numeric-method",
        "is.kadditive-methods"
      ]
    },
    {
      "page": "is.monotone-methods",
      "title": "Test method",
      "topics": [
        "is.monotone",
        "is.monotone,card.set.func-method",
        "is.monotone,Mobius.set.func-method",
        "is.monotone,set.func-method",
        "is.monotone-methods"
      ]
    },
    {
      "page": "is.normalized-methods",
      "title": "Test method",
      "topics": [
        "is.normalized",
        "is.normalized,capacity-method",
        "is.normalized,card.capacity-method",
        "is.normalized,Mobius.capacity-method",
        "is.normalized-methods"
      ]
    },
    {
      "page": "k.truncate.Mobius-methods",
      "title": "k-order truncation of the Möbius representation of a set function.",
      "topics": [
        "k.truncate.Mobius",
        "k.truncate.Mobius,Mobius.set.func,numeric-method",
        "k.truncate.Mobius,set.func,numeric-method",
        "k.truncate.Mobius-methods"
      ]
    },
    {
      "page": "least.squares.capa.ident",
      "title": "Least squares capacity identification",
      "topics": [
        "least.squares.capa.ident"
      ]
    },
    {
      "page": "lin.prog.capa.ident",
      "title": "Capacity identification based on linear programming",
      "topics": [
        "lin.prog.capa.ident"
      ]
    },
    {
      "page": "ls.ranking.capa.ident",
      "title": "Least squares capacity identification in the framework of a ranking procedure",
      "topics": [
        "ls.ranking.capa.ident"
      ]
    },
    {
      "page": "ls.sorting.capa.ident",
      "title": "Least squares capacity identification in the framework of a sorting procedure",
      "topics": [
        "ls.sorting.capa.ident"
      ]
    },
    {
      "page": "ls.sorting.treatment",
      "title": "Least squares capacity identification in the framework of a sorting procedure: evaluation of the determined capacity",
      "topics": [
        "ls.sorting.treatment"
      ]
    },
    {
      "page": "mini.dist.capa.ident",
      "title": "Minimum distance capacity identification",
      "topics": [
        "mini.dist.capa.ident"
      ]
    },
    {
      "page": "mini.var.capa.ident",
      "title": "Minimum variance capacity identification",
      "topics": [
        "mini.var.capa.ident"
      ]
    },
    {
      "page": "Mobius-methods",
      "title": "The Möbius transform",
      "topics": [
        "Mobius",
        "Mobius,capacity-method",
        "Mobius,card.set.func-method",
        "Mobius,game-method",
        "Mobius,set.func-method",
        "Mobius-methods"
      ]
    },
    {
      "page": "Mobius.capacity-class",
      "title": "Class \"Mobius.capacity\"",
      "topics": [
        "Mobius.capacity-class"
      ]
    },
    {
      "page": "Mobius.card.gen",
      "title": "Creates an object representing the Möbius transform of a cardinal set function.",
      "topics": [
        "Mobius.card.set.func"
      ]
    },
    {
      "page": "Mobius.card.set.func-class",
      "title": "Class \"Mobius.card.set.func\"",
      "topics": [
        "Mobius.card.set.func-class"
      ]
    },
    {
      "page": "Mobius.game-class",
      "title": "Class \"Mobius.game\"",
      "topics": [
        "Mobius.game-class"
      ]
    },
    {
      "page": "Mobius.gen",
      "title": "Create objects representing the Möbius transform of a set function.",
      "topics": [
        "additive.capacity",
        "Mobius.capacity",
        "Mobius.game",
        "Mobius.set.func"
      ]
    },
    {
      "page": "Mobius.set.func-class",
      "title": "Class \"Mobius.set.func\"",
      "topics": [
        "Mobius.set.func-class"
      ]
    },
    {
      "page": "normalize-methods",
      "title": "Normalizes a capacity.",
      "topics": [
        "normalize",
        "normalize,capacity-method",
        "normalize,card.capacity-method",
        "normalize,Mobius.capacity-method",
        "normalize-methods"
      ]
    },
    {
      "page": "orness-methods",
      "title": "Orness degree",
      "topics": [
        "orness",
        "orness,capacity-method",
        "orness,card.capacity-method",
        "orness,Mobius.capacity-method",
        "orness-methods"
      ]
    },
    {
      "page": "pdf.Choquet.unif-methods",
      "title": "Distribution of the Choquet integral for evaluations uniformly distributed on the unit hypercube",
      "topics": [
        "cdf.Choquet.unif",
        "cdf.Choquet.unif,game,numeric-method",
        "cdf.Choquet.unif-methods",
        "pdf.Choquet.unif",
        "pdf.Choquet.unif,game,numeric-method",
        "pdf.Choquet.unif-methods"
      ]
    },
    {
      "page": "rnd-methods",
      "title": "Rounding of set function coefficients",
      "topics": [
        "rnd",
        "rnd,superclass.set.func-method",
        "rnd-methods"
      ]
    },
    {
      "page": "set.func.gen",
      "title": "Create objects of class \"set.func\", \"game\", or \"capacity\".",
      "topics": [
        "capacity",
        "game",
        "set.func"
      ]
    },
    {
      "page": "set.func-class",
      "title": "Class \"set.func\"",
      "topics": [
        "set.func-class"
      ]
    },
    {
      "page": "Shapley.value-methods",
      "title": "The Shapley value",
      "topics": [
        "Shapley.value",
        "Shapley.value,card.set.func-method",
        "Shapley.value,Mobius.set.func-method",
        "Shapley.value,set.func-method",
        "Shapley.value-methods"
      ]
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    {
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