{
  "_id": "6a104342acfb0bcc41c9de64",
  "Package": "FuzzyNumbers",
  "Title": "Tools to Deal with Fuzzy Numbers",
  "Type": "Package",
  "Authors@R": "c(\nperson(\"Marek\", \"Gagolewski\", role = c(\"aut\", \"cre\"),\nemail = \"marek@gagolewski.com\",\ncomment = c(ORCID = \"0000-0003-0637-6028\")),\nperson(\"Jan\", \"Caha\", role = \"ctb\",\nemail = \"jan.caha@klikni.cz\"))",
  "Description": "S4 classes and methods to deal with fuzzy numbers. They\nallow for computing any arithmetic operations (e.g., by using\nthe Zadeh extension principle), performing approximation of\narbitrary fuzzy numbers by trapezoidal and piecewise linear\nones, preparing plots for publications, computing possibility\nand necessity values for comparisons, etc.",
  "Version": "0.4-7",
  "Date": "2021-11-15",
  "URL": "https://github.com/gagolews/FuzzyNumbers/",
  "BugReports": "https://github.com/gagolews/FuzzyNumbers/issues",
  "License": "LGPL (>= 3)",
  "ByteCompile": "TRUE",
  "VignetteBuilder": "knitr",
  "RoxygenNote": "7.1.2",
  "Encoding": "UTF-8",
  "Repository": "https://gagolews.r-universe.dev",
  "Date/Publication": "2021-11-15 02:15:25 UTC",
  "RemoteUrl": "https://github.com/gagolews/fuzzynumbers",
  "RemoteRef": "HEAD",
  "RemoteSha": "5d206760fc284b02247e049c4250fac10e0de7b1",
  "NeedsCompilation": "no",
  "Packaged": {
    "Date": "2026-05-11 06:58:59 UTC",
    "User": "root"
  },
  "Author": "Marek Gagolewski [aut, cre] (ORCID:\n<https://orcid.org/0000-0003-0637-6028>),\nJan Caha [ctb]",
  "Maintainer": "Marek Gagolewski <marek@gagolewski.com>",
  "MD5sum": "84f7c0dfb8a149c2d807b183b9cc7574",
  "_user": "gagolews",
  "_type": "src",
  "_file": "FuzzyNumbers_0.4-7.tar.gz",
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  "_filesize": 1161289,
  "_sha256": "22a269a62d9a8e411617524a075543d519402bf8dc98c071901eee5618e8cf0e",
  "_created": "2026-05-11T06:58:59.000Z",
  "_published": "2026-05-22T11:51:30.370Z",
  "_distro": "noble",
  "_jobs": [
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      "time": 111,
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  "_buildurl": "https://github.com/r-universe/gagolews/actions/runs/25655105273",
  "_status": "success",
  "_host": "GitHub-Actions",
  "_upstream": "https://github.com/gagolews/fuzzynumbers",
  "_commit": {
    "id": "5d206760fc284b02247e049c4250fac10e0de7b1",
    "author": "gagolews <m.gagolewski@gmail.com>",
    "committer": "gagolews <m.gagolewski@gmail.com>",
    "message": "fix broken link\n",
    "time": 1636942525
  },
  "_maintainer": {
    "name": "Marek Gagolewski",
    "email": "marek@gagolewski.com",
    "login": "gagolews",
    "uuid": 3193581,
    "orcid": "0000-0003-0637-6028"
  },
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  "_dependencies": [
    {
      "package": "R",
      "version": ">= 3.0.0",
      "role": "Depends"
    },
    {
      "package": "methods",
      "role": "Depends"
    },
    {
      "package": "grDevices",
      "role": "Depends"
    },
    {
      "package": "graphics",
      "role": "Depends"
    },
    {
      "package": "stats",
      "role": "Depends"
    },
    {
      "package": "knitr",
      "role": "Suggests"
    },
    {
      "package": "digest",
      "role": "Suggests"
    }
  ],
  "_owner": "gagolews",
  "_selfowned": true,
  "_usedby": 13,
  "_updates": [],
  "_tags": [],
  "_stars": 13,
  "_contributors": [
    {
      "user": "gagolews",
      "count": 94,
      "uuid": 3193581
    }
  ],
  "_userbio": {
    "uuid": 3193581,
    "type": "user",
    "name": "Marek Gagolewski",
    "description": "Free universities!"
  },
  "_downloads": {
    "count": 460,
    "source": "https://cranlogs.r-pkg.org/downloads/total/last-month/FuzzyNumbers"
  },
  "_devurl": "https://github.com/gagolews/fuzzynumbers",
  "_searchresults": 104,
  "_rbuild": "4.6.0",
  "_assets": [
    "extra/citation.cff",
    "extra/citation.html",
    "extra/citation.json",
    "extra/citation.txt",
    "extra/contents.json",
    "extra/FuzzyNumbers.html",
    "extra/NEWS.html",
    "extra/NEWS.txt",
    "extra/readme.html",
    "extra/readme.md",
    "manual.pdf"
  ],
  "_homeurl": "https://github.com/gagolews/fuzzynumbers",
  "_realowner": "gagolews",
  "_cranurl": true,
  "_releases": [
    {
      "version": "0.02",
      "date": "2012-12-27"
    },
    {
      "version": "0.3-1",
      "date": "2013-06-23"
    },
    {
      "version": "0.3-3",
      "date": "2014-01-03"
    },
    {
      "version": "0.3-5",
      "date": "2014-10-01"
    },
    {
      "version": "0.4-1",
      "date": "2015-02-26"
    },
    {
      "version": "0.4-2",
      "date": "2018-02-14"
    },
    {
      "version": "0.4-5",
      "date": "2019-01-16"
    },
    {
      "version": "0.4-6",
      "date": "2019-02-05"
    },
    {
      "version": "0.4-7",
      "date": "2021-11-15"
    }
  ],
  "_exports": [
    "alphacut",
    "alphaInterval",
    "ambiguity",
    "approxInvert",
    "arctan2",
    "as.FuzzyNumber",
    "as.PiecewiseLinearFuzzyNumber",
    "as.PowerFuzzyNumber",
    "as.TrapezoidalFuzzyNumber",
    "convertAlpha",
    "convertSide",
    "core",
    "DiscontinuousFuzzyNumber",
    "distance",
    "evaluate",
    "expectedInterval",
    "expectedValue",
    "fapply",
    "FuzzyNumber",
    "integrate_discont_val",
    "integrateAlpha",
    "maximum",
    "minimum",
    "necessityExceedance",
    "necessityStrictExceedance",
    "necessityStrictUndervaluation",
    "necessityUndervaluation",
    "piecewiseLinearApproximation",
    "PiecewiseLinearFuzzyNumber",
    "plot",
    "possibilityExceedance",
    "possibilityStrictExceedance",
    "possibilityStrictUndervaluation",
    "possibilityUndervaluation",
    "PowerFuzzyNumber",
    "show",
    "supp",
    "trapezoidalApproximation",
    "TrapezoidalFuzzyNumber",
    "TriangularFuzzyNumber",
    "value",
    "weightedExpectedValue",
    "width"
  ],
  "_help": [
    {
      "page": "FuzzyNumbers-package",
      "title": "Tools to Deal with Fuzzy Numbers",
      "topics": [
        "FuzzyNumbers-package"
      ]
    },
    {
      "page": "pow-PiecewiseLinearFuzzyNumber-numeric-method",
      "title": "Integer power of fuzzy number",
      "concept": [
        "PiecewiseLinearFuzzyNumber-method",
        "extension_principle"
      ],
      "topics": [
        "^,PiecewiseLinearFuzzyNumber,numeric-method"
      ]
    },
    {
      "page": "alphacut-methods",
      "title": "Compute Alpha-Cuts",
      "concept": [
        "FuzzyNumber-method",
        "alpha_cuts"
      ],
      "topics": [
        "alphacut",
        "alphacut,FuzzyNumber,numeric-method"
      ]
    },
    {
      "page": "alphaInterval-methods",
      "title": "Compute the Alpha-Interval of a Fuzzy Number",
      "concept": [
        "FuzzyNumber-method",
        "PiecewiseLinearFuzzyNumber-method",
        "PowerFuzzyNumber-method",
        "TrapezoidalFuzzyNumber-method"
      ],
      "topics": [
        "alphaInterval",
        "alphaInterval,FuzzyNumber-method",
        "alphaInterval,PiecewiseLinearFuzzyNumber-method",
        "alphaInterval,PowerFuzzyNumber-method",
        "alphaInterval,TrapezoidalFuzzyNumber-method"
      ]
    },
    {
      "page": "ambiguity-methods",
      "title": "Calculate the Ambiguity of a Fuzzy Number",
      "concept": [
        "FuzzyNumber-method",
        "characteristics"
      ],
      "topics": [
        "ambiguity",
        "ambiguity,FuzzyNumber-method"
      ]
    },
    {
      "page": "approxInvert",
      "title": "Approximate the Inverse of a Given Function",
      "concept": [
        "auxiliary"
      ],
      "topics": [
        "approxInvert"
      ]
    },
    {
      "page": "arctan2",
      "title": "Arc-tangent",
      "concept": [
        "PiecewiseLinearFuzzyNumber-method",
        "special-method"
      ],
      "topics": [
        "arctan2",
        "arctan2,PiecewiseLinearFuzzyNumber,PiecewiseLinearFuzzyNumber-method"
      ]
    },
    {
      "page": "Arithmetic-methods",
      "title": "Arithmetic Operations on Fuzzy Numbers",
      "concept": [
        "FuzzyNumber-method",
        "PiecewiseLinearFuzzyNumber-method",
        "TrapezoidalFuzzyNumber-method",
        "extension_principle"
      ],
      "topics": [
        "*,numeric,FuzzyNumber-method",
        "*,PiecewiseLinearFuzzyNumber,FuzzyNumber-method",
        "*,PiecewiseLinearFuzzyNumber,numeric-method",
        "*,PiecewiseLinearFuzzyNumber,PiecewiseLinearFuzzyNumber-method",
        "*,TrapezoidalFuzzyNumber,numeric-method",
        "+,numeric,FuzzyNumber-method",
        "+,PiecewiseLinearFuzzyNumber,FuzzyNumber-method",
        "+,PiecewiseLinearFuzzyNumber,numeric-method",
        "+,PiecewiseLinearFuzzyNumber,PiecewiseLinearFuzzyNumber-method",
        "+,TrapezoidalFuzzyNumber,TrapezoidalFuzzyNumber-method",
        "-,FuzzyNumber,ANY-method",
        "-,numeric,FuzzyNumber-method",
        "-,PiecewiseLinearFuzzyNumber,FuzzyNumber-method",
        "-,PiecewiseLinearFuzzyNumber,numeric-method",
        "-,PiecewiseLinearFuzzyNumber,PiecewiseLinearFuzzyNumber-method",
        "-,TrapezoidalFuzzyNumber,TrapezoidalFuzzyNumber-method",
        "/,PiecewiseLinearFuzzyNumber,FuzzyNumber-method",
        "/,PiecewiseLinearFuzzyNumber,numeric-method",
        "/,PiecewiseLinearFuzzyNumber,PiecewiseLinearFuzzyNumber-method",
        "Arithmetic"
      ]
    },
    {
      "page": "as.character-methods",
      "title": "Get Basic Information on a Fuzzy Number in a String",
      "concept": [
        "FuzzyNumber-method",
        "PiecewiseLinearFuzzyNumber-method",
        "PowerFuzzyNumber-method",
        "TriangularFuzzyNumber-method",
        "conversion"
      ],
      "topics": [
        "as.character",
        "as.character,FuzzyNumber-method",
        "as.character,PiecewiseLinearFuzzyNumber-method",
        "as.character,PowerFuzzyNumber-method",
        "as.character,TrapezoidalFuzzyNumber-method"
      ]
    },
    {
      "page": "as.FuzzyNumber",
      "title": "Converts an Object to a Fuzzy Number",
      "concept": [
        "FuzzyNumber-method",
        "conversion"
      ],
      "topics": [
        "as.FuzzyNumber",
        "as.FuzzyNumber,FuzzyNumber-method",
        "as.FuzzyNumber,numeric-method"
      ]
    },
    {
      "page": "as.PiecewiseLinearFuzzyNumber",
      "title": "Converts an Object to a Piecewise Linear Fuzzy Number",
      "concept": [
        "FuzzyNumber-method",
        "PiecewiseLinearFuzzyNumber-method",
        "TrapezoidalFuzzyNumber-method",
        "conversion"
      ],
      "topics": [
        "as.PiecewiseLinearFuzzyNumber",
        "as.PiecewiseLinearFuzzyNumber,FuzzyNumber-method",
        "as.PiecewiseLinearFuzzyNumber,numeric-method",
        "as.PiecewiseLinearFuzzyNumber,PiecewiseLinearFuzzyNumber-method",
        "as.PiecewiseLinearFuzzyNumber,TrapezoidalFuzzyNumber-method"
      ]
    },
    {
      "page": "as.PowerFuzzyNumber",
      "title": "Converts an Object to a Power Fuzzy Number",
      "concept": [
        "FuzzyNumber-method",
        "PiecewiseLinearFuzzyNumber-method",
        "PowerFuzzyNumber-method",
        "TrapezoidalFuzzyNumber-method",
        "conversion"
      ],
      "topics": [
        "as.PowerFuzzyNumber",
        "as.PowerFuzzyNumber,FuzzyNumber-method",
        "as.PowerFuzzyNumber,numeric-method",
        "as.PowerFuzzyNumber,PiecewiseLinearFuzzyNumber-method",
        "as.PowerFuzzyNumber,PowerFuzzyNumber-method",
        "as.PowerFuzzyNumber,TrapezoidalFuzzyNumber-method"
      ]
    },
    {
      "page": "as.TrapezoidalFuzzyNumber",
      "title": "Converts an Object to a Trapezoidal Fuzzy Number",
      "concept": [
        "FuzzyNumber-method",
        "PiecewiseLinearFuzzyNumber-method",
        "PowerFuzzyNumber-method",
        "TrapezoidalFuzzyNumber-method",
        "conversion"
      ],
      "topics": [
        "as.TrapezoidalFuzzyNumber",
        "as.TrapezoidalFuzzyNumber,FuzzyNumber-method",
        "as.TrapezoidalFuzzyNumber,numeric-method",
        "as.TrapezoidalFuzzyNumber,PiecewiseLinearFuzzyNumber-method",
        "as.TrapezoidalFuzzyNumber,PowerFuzzyNumber-method",
        "as.TrapezoidalFuzzyNumber,TrapezoidalFuzzyNumber-method"
      ]
    },
    {
      "page": "convertAlpha",
      "title": "Convert a Given Upper/Lower Alpha-Cut Function to an Alpha-Cut Generating Function",
      "concept": [
        "auxiliary"
      ],
      "topics": [
        "convertAlpha"
      ]
    },
    {
      "page": "convertSide",
      "title": "Convert a Given Side Function to Side Generating Function",
      "concept": [
        "auxiliary"
      ],
      "topics": [
        "convertSide"
      ]
    },
    {
      "page": "core-methods",
      "title": "Calculate the Core of a Fuzzy Number",
      "concept": [
        "FuzzyNumber-method",
        "alpha_cuts"
      ],
      "topics": [
        "core",
        "core,FuzzyNumber-method"
      ]
    },
    {
      "page": "DiscontinuousFuzzyNumber",
      "title": "Creates a Fuzzy Number with Possibly Discontinuous Side Functions or Alpha-Cut Bounds",
      "concept": [
        "DiscontinuousFuzzyNumber-method"
      ],
      "topics": [
        "DiscontinuousFuzzyNumber"
      ]
    },
    {
      "page": "DiscontinuousFuzzyNumber-class",
      "title": "**EXPERIMENTAL** S4 Class Representing a Fuzzy Number with Discontinuous Side Functions or Alpha-Cut Bounds",
      "concept": [
        "DiscontinuousFuzzyNumber-method"
      ],
      "topics": [
        "DiscontinuousFuzzyNumber-class"
      ]
    },
    {
      "page": "distance-methods",
      "title": "Calculate the Distance Between Two Fuzzy Numbers",
      "concept": [
        "DiscontinuousFuzzyNumber-method",
        "FuzzyNumber-method"
      ],
      "topics": [
        "distance",
        "distance,DiscontinuousFuzzyNumber,DiscontinuousFuzzyNumber-method",
        "distance,DiscontinuousFuzzyNumber,FuzzyNumber-method",
        "distance,FuzzyNumber,DiscontinuousFuzzyNumber-method",
        "distance,FuzzyNumber,FuzzyNumber-method"
      ]
    },
    {
      "page": "evaluate-methods",
      "title": "Evaluate the Membership Function",
      "concept": [
        "FuzzyNumber-method",
        "membership_function"
      ],
      "topics": [
        "evaluate",
        "evaluate,FuzzyNumber,numeric-method"
      ]
    },
    {
      "page": "expectedInterval-methods",
      "title": "Calculate the Expected Interval of a Fuzzy Number",
      "concept": [
        "FuzzyNumber-method",
        "PiecewiseLinearFuzzyNumber-method",
        "PowerFuzzyNumber-method",
        "TrapezoidalFuzzyNumber-method"
      ],
      "topics": [
        "expectedInterval",
        "expectedInterval,FuzzyNumber-method",
        "expectedInterval,PiecewiseLinearFuzzyNumber-method",
        "expectedInterval,PowerFuzzyNumber-method",
        "expectedInterval,TrapezoidalFuzzyNumber-method"
      ]
    },
    {
      "page": "expectedValue-methods",
      "title": "Calculate the Expected Value of a Fuzzy Number",
      "concept": [
        "FuzzyNumber-method",
        "characteristics",
        "deffuzification"
      ],
      "topics": [
        "expectedValue",
        "expectedValue,FuzzyNumber-method"
      ]
    },
    {
      "page": "Extract-methods",
      "title": "FuzzyNumber Slot Accessors",
      "concept": [
        "DiscontinuousFuzzyNumber-method",
        "FuzzyNumber-method",
        "PiecewiseLinearFuzzyNumber-method",
        "PowerFuzzyNumber-method"
      ],
      "topics": [
        "Extract",
        "[,DiscontinuousFuzzyNumber,character-method",
        "[,FuzzyNumber,character-method",
        "[,PiecewiseLinearFuzzyNumber,character-method",
        "[,PowerFuzzyNumber,character-method"
      ]
    },
    {
      "page": "fapply-methods",
      "title": "Apply a Function on a Fuzzy Number",
      "concept": [
        "PiecewiseLinearFuzzyNumber-method",
        "extension_principle"
      ],
      "topics": [
        "fapply",
        "fapply,PiecewiseLinearFuzzyNumber,function-method"
      ]
    },
    {
      "page": "FuzzyNumber",
      "title": "Creates a Fuzzy Number",
      "concept": [
        "FuzzyNumber-method"
      ],
      "topics": [
        "FuzzyNumber"
      ]
    },
    {
      "page": "FuzzyNumber-class",
      "title": "S4 class Representing a Fuzzy Number",
      "concept": [
        "FuzzyNumber-method"
      ],
      "topics": [
        "FuzzyNumber-class"
      ]
    },
    {
      "page": "integrate_discont_val",
      "title": "Integrate a Function with at Most Finite Number of Discontinuities *EXPERIMENTAL*",
      "topics": [
        "integrate_discont_val"
      ]
    },
    {
      "page": "integrateAlpha-methods",
      "title": "Numerically Integrate Alpha-Cut Bounds",
      "concept": [
        "DiscontinuousFuzzyNumber-method",
        "FuzzyNumber-method"
      ],
      "topics": [
        "integrateAlpha",
        "integrateAlpha,DiscontinuousFuzzyNumber,character,numeric,numeric-method",
        "integrateAlpha,FuzzyNumber,character,numeric,numeric-method"
      ]
    },
    {
      "page": "maximum",
      "title": "Maximum of fuzzy nubmers",
      "concept": [
        "PiecewiseLinearFuzzyNumber-method",
        "min_max-operators"
      ],
      "topics": [
        "maximum",
        "maximum,PiecewiseLinearFuzzyNumber,PiecewiseLinearFuzzyNumber-method"
      ]
    },
    {
      "page": "minimum",
      "title": "Minimum of fuzzy nubmers",
      "concept": [
        "PiecewiseLinearFuzzyNumber-method",
        "min_max-operators"
      ],
      "topics": [
        "minimum",
        "minimum,PiecewiseLinearFuzzyNumber,PiecewiseLinearFuzzyNumber-method"
      ]
    },
    {
      "page": "necessityExceedance",
      "title": "Necessity of exceedance",
      "concept": [
        "PiecewiseLinearFuzzyNumber-method",
        "comparison-operators"
      ],
      "topics": [
        "necessityExceedance",
        "necessityExceedance,PiecewiseLinearFuzzyNumber,PiecewiseLinearFuzzyNumber-method"
      ]
    },
    {
      "page": "necessityStrictExceedance",
      "title": "Necessity of strict exceedance",
      "concept": [
        "PiecewiseLinearFuzzyNumber-method",
        "comparison-operators"
      ],
      "topics": [
        "necessityStrictExceedance",
        "necessityStrictExceedance,PiecewiseLinearFuzzyNumber,PiecewiseLinearFuzzyNumber-method"
      ]
    },
    {
      "page": "necessityStrictUndervaluation",
      "title": "Necessity of strict undervaluation",
      "concept": [
        "PiecewiseLinearFuzzyNumber-method",
        "comparison-operators"
      ],
      "topics": [
        "necessityStrictUndervaluation",
        "necessityStrictUndervaluation,PiecewiseLinearFuzzyNumber,PiecewiseLinearFuzzyNumber-method"
      ]
    },
    {
      "page": "necessityUndervaluation",
      "title": "Necessity of undervaluation",
      "concept": [
        "PiecewiseLinearFuzzyNumber-method",
        "comparison-operators"
      ],
      "topics": [
        "necessityUndervaluation",
        "necessityUndervaluation,PiecewiseLinearFuzzyNumber,PiecewiseLinearFuzzyNumber-method"
      ]
    },
    {
      "page": "piecewiseLinearApproximation-methods",
      "title": "Piecewise Linear Approximation of a Fuzzy Number",
      "concept": [
        "FuzzyNumber-method",
        "approximation"
      ],
      "topics": [
        "piecewiseLinearApproximation",
        "piecewiseLinearApproximation,FuzzyNumber-method"
      ]
    },
    {
      "page": "PiecewiseLinearFuzzyNumber",
      "title": "Creates a Piecewise Linear Fuzzy Number",
      "concept": [
        "PiecewiseLinearFuzzyNumber-method"
      ],
      "topics": [
        "PiecewiseLinearFuzzyNumber"
      ]
    },
    {
      "page": "PiecewiseLinearFuzzyNumber-class",
      "title": "S4 Class Representing a Piecewise Linear Fuzzy Number",
      "concept": [
        "PiecewiseLinearFuzzyNumber-method"
      ],
      "topics": [
        "PiecewiseLinearFuzzyNumber-class"
      ]
    },
    {
      "page": "plot-methods",
      "title": "Plot a Fuzzy Number",
      "concept": [
        "DiscontinuousFuzzyNumber-method",
        "FuzzyNumber-method",
        "PiecewiseLinearFuzzyNumber-method",
        "TrapezoidalFuzzyNumber-method"
      ],
      "topics": [
        "plot",
        "plot,DiscontinuousFuzzyNumber,missing-method",
        "plot,FuzzyNumber,missing-method",
        "plot,PiecewiseLinearFuzzyNumber,missing-method",
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