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  "Title": "Using the Theory of Belief Functions",
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  "Date": "2024-08-24",
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  "Description": "Using the Theory of Belief Functions for evidence\ncalculus. Basic probability assignments, or mass functions, can\nbe defined on the subsets of a set of possible values and\ncombined. A mass function can be extended to a larger frame.\nMarginalization, i.e. reduction to a smaller frame can also be\ndone. These features can be combined to analyze small belief\nnetworks and take into account situations where information\ncannot be satisfactorily described by probability\ndistributions.",
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  "Author": "Peiyuan Zhu [aut, cre],\nClaude Boivin [aut]",
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    "addToDSM",
    "bca",
    "bcaPrint",
    "bcaRel",
    "bcaTrunc",
    "belplau",
    "belplauH",
    "commonality",
    "decode",
    "DoSSnames",
    "dotprod",
    "dproj",
    "DSA",
    "DSAh",
    "DSC",
    "DSM",
    "dsrwon",
    "elim",
    "encode",
    "extFrame",
    "extmin",
    "extSSR",
    "inters",
    "intersBySSName",
    "jointDSM",
    "marrayToMatrix",
    "matrixToMarray",
    "nameCols",
    "nameCols_prod",
    "nameRows",
    "normalize",
    "nzdsr",
    "peeling",
    "plautrans",
    "printDSM",
    "productSpace",
    "PT",
    "PTsimDSM",
    "shape",
    "SSR",
    "tabresul",
    "truncateDSM",
    "ttmatrix",
    "uproj"
  ],
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      "name": "ads",
      "title": "The Captain's Problem. 'ads': Relation between variables Arrival (A), Departure delay (D) and Sailing delay (S)",
      "object": "ads",
      "class": [
        "matrix",
        "array"
      ],
      "fields": [
        "nospec",
        "m",
        "6",
        "5",
        "4",
        "3",
        "2",
        "1",
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        "2",
        "1",
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        "2",
        "1",
        "0"
      ],
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      "table": true,
      "tojson": true
    },
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      "name": "captain_result",
      "title": "The Captain's Problem. 'swr': Result of the evaluation of the Hypergraph at node Arrival (A)",
      "object": "captain_result",
      "class": [
        "list",
        "bcaspec"
      ],
      "fields": [],
      "table": false,
      "tojson": true
    },
    {
      "name": "dlfm",
      "title": "The Captain's Problem. 'dlfm': Relation between variables Departure delay (D), Loading delay (L), Forecast of the weather (F), Maintenance delay (M)",
      "object": "dlfm",
      "class": [
        "data.frame"
      ],
      "fields": [
        "nospec",
        "m",
        "3",
        "2",
        "1",
        "0",
        "true",
        "false",
        "foul",
        "fair",
        "true",
        "false"
      ],
      "rows": 10,
      "table": true,
      "tojson": true
    },
    {
      "name": "fw",
      "title": "The Captain's Problem. 'fw': Relation between variables Forecast of the weather (F) and Weather at sea (W)",
      "object": "fw",
      "class": [
        "matrix",
        "array"
      ],
      "fields": [
        "nospec",
        "m",
        "foul",
        "fair",
        "foul",
        "fair"
      ],
      "rows": 4,
      "table": true,
      "tojson": true
    },
    {
      "name": "mrf",
      "title": "The Captain's Problem. 'mrf': Relation between variables No Maintenance (M = false) and Repairs at sea (R)",
      "object": "mrf",
      "class": [
        "matrix",
        "array"
      ],
      "fields": [
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        "m",
        "true",
        "false",
        "true",
        "false"
      ],
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      "table": true,
      "tojson": true
    },
    {
      "name": "mrt",
      "title": "The Captain's Problem. 'mrt': Relation between variables Maintenance done (M = true) and Repairs at sea (R)",
      "object": "mrt",
      "class": [
        "matrix",
        "array"
      ],
      "fields": [
        "nospec",
        "m",
        "true",
        "false",
        "true",
        "false"
      ],
      "rows": 8,
      "table": true,
      "tojson": true
    },
    {
      "name": "swr",
      "title": "The Captain's Problem. 'swr': Relation between variables Sailing delay (S), Weather at sea (W), and Repairs at sea (R)",
      "object": "swr",
      "class": [
        "matrix",
        "array"
      ],
      "fields": [
        "nospec",
        "m",
        "3",
        "2",
        "1",
        "0",
        "foul",
        "fair",
        "true",
        "false"
      ],
      "rows": 6,
      "table": true,
      "tojson": true
    }
  ],
  "_help": [
    {
      "page": "addToDSM",
      "title": "Add some elements of 0 mass to an existing DSM.",
      "topics": [
        "addTobca",
        "addToDSM"
      ]
    },
    {
      "page": "ads",
      "title": "The Captain's Problem. 'ads': Relation between variables Arrival (A), Departure delay (D) and Sailing delay (S)",
      "topics": [
        "ads"
      ]
    },
    {
      "page": "captain_result",
      "title": "The Captain's Problem. 'swr': Result of the evaluation of the Hypergraph at node Arrival (A)",
      "topics": [
        "captain_result"
      ]
    },
    {
      "page": "commonality",
      "title": "Compute qq from tt",
      "topics": [
        "commonality"
      ]
    },
    {
      "page": "decode",
      "title": "Find the value in base 10 of a number coded in another base",
      "topics": [
        "aplDecode",
        "decode"
      ]
    },
    {
      "page": "dlfm",
      "title": "The Captain's Problem. 'dlfm': Relation between variables Departure delay (D), Loading delay (L), Forecast of the weather (F), Maintenance delay (M)",
      "topics": [
        "dlfm"
      ]
    },
    {
      "page": "DoSSnames",
      "title": "Construct subsets names from column names of a tt matrix",
      "topics": [
        "DoSSnames"
      ]
    },
    {
      "page": "dotprod",
      "title": "Generalized inner product of two matrices",
      "topics": [
        "dotprod"
      ]
    },
    {
      "page": "dproj",
      "title": "Reduction of a jointDSM",
      "topics": [
        "dproj",
        "elim"
      ]
    },
    {
      "page": "DSA",
      "title": "Calculate the degrees of unambiguous support (p), unambiguous contradiction (q), and ambiguity (r) of a list of hypothesis based on a Dempster-Shafer Model (DSM).",
      "topics": [
        "belplau",
        "DSA"
      ]
    },
    {
      "page": "DSAh",
      "title": "Calculate degree of unambiguous support (p), unambiguous contradiction (q), ambiguity (r), plausibility, and plausibility ratio",
      "topics": [
        "belplauH",
        "DSAh"
      ]
    },
    {
      "page": "DSC",
      "title": "Combination of two Dempster-Shafer models",
      "topics": [
        "available.",
        "calculations",
        "cores",
        "DSC",
        "dsrwon",
        "make",
        "multiple",
        "of",
        "The",
        "use"
      ]
    },
    {
      "page": "DSM",
      "title": "Unidimensional Dempser-Shafer model",
      "topics": [
        "bca",
        "bpa",
        "DSM"
      ]
    },
    {
      "page": "encode",
      "title": "Convert a value to its representation in another chosen base",
      "topics": [
        "aplEncode",
        "encode"
      ]
    },
    {
      "page": "extSSR",
      "title": "Extension of a State Space Representation (SSR)",
      "topics": [
        "extFrame",
        "extSSR"
      ]
    },
    {
      "page": "fw",
      "title": "The Captain's Problem. 'fw': Relation between variables Forecast of the weather (F) and Weather at sea (W)",
      "topics": [
        "fw"
      ]
    },
    {
      "page": "inters",
      "title": "Intersection of two tables of propositions",
      "topics": [
        "inters"
      ]
    },
    {
      "page": "intersBySSName",
      "title": "Intersect two vectors of ssnames",
      "topics": [
        "intersBySSName"
      ]
    },
    {
      "page": "jointDSM",
      "title": "Multidimensional DS Model",
      "topics": [
        "bcaRel",
        "jointDSM"
      ]
    },
    {
      "page": "marrayToMatrix",
      "title": "Transformation of an array data to its matrix representation",
      "topics": [
        "marrayToMatrix"
      ]
    },
    {
      "page": "matrixToMarray",
      "title": "Transformation of the tt matrix of a relation",
      "topics": [
        "matrixToMarray"
      ]
    },
    {
      "page": "mrf",
      "title": "The Captain's Problem. 'mrf': Relation between variables No Maintenance (M = false) and Repairs at sea (R)",
      "topics": [
        "mrf"
      ]
    },
    {
      "page": "mrt",
      "title": "The Captain's Problem. 'mrt': Relation between variables Maintenance done (M = true) and Repairs at sea (R)",
      "topics": [
        "mrt"
      ]
    },
    {
      "page": "nameCols",
      "title": "Naming the columns of the 'tt' matrix",
      "topics": [
        "nameCols"
      ]
    },
    {
      "page": "nameCols_prod",
      "title": "Naming the columns of the 'tt' matrix of a product space",
      "topics": [
        "nameCols_prod"
      ]
    },
    {
      "page": "nameRows",
      "title": "Combining the column names of a matrix to construct names for the rows",
      "topics": [
        "nameRows"
      ]
    },
    {
      "page": "normalize",
      "title": "Normalization of a basic chance assignment",
      "topics": [
        "normalize",
        "nzdsr"
      ]
    },
    {
      "page": "peeling",
      "title": "The peeling algorithm",
      "topics": [
        "peeling"
      ]
    },
    {
      "page": "printDSM",
      "title": "Simple printing of the 'tt' matrix and mass values of a Dempster-Shafer Model",
      "topics": [
        "bcaPrint",
        "printDSM"
      ]
    },
    {
      "page": "productSpace",
      "title": "Product space representation of a relation",
      "topics": [
        "productSpace"
      ]
    },
    {
      "page": "PT",
      "title": "Plausibility transformation of the singletons of a frame",
      "topics": [
        "plautrans",
        "PT"
      ]
    },
    {
      "page": "PTsimDSM",
      "title": "Plausibility Transform for Combined Simple Dempster-Shafer Models (simDSM)",
      "topics": [
        "PTsimDSM"
      ]
    },
    {
      "page": "shape",
      "title": "Obtain dimensions of an array or length of a vector with a single command",
      "topics": [
        "aplShape",
        "shape"
      ]
    },
    {
      "page": "SSR",
      "title": "One dimensional State Space representation",
      "topics": [
        "SSR"
      ]
    },
    {
      "page": "swr",
      "title": "The Captain's Problem. 'swr': Relation between variables Sailing delay (S), Weather at sea (W), and Repairs at sea (R)",
      "topics": [
        "swr"
      ]
    },
    {
      "page": "tabresul",
      "title": "Prepare a table of results",
      "topics": [
        "tabresul"
      ]
    },
    {
      "page": "truncateDSM",
      "title": "Truncation of the mass function of a DSM",
      "topics": [
        "bcaTrunc",
        "truncateDSM"
      ]
    },
    {
      "page": "ttmatrix",
      "title": "Construct a description matrix from a list of subsets names.",
      "topics": [
        "ttmatrix"
      ]
    },
    {
      "page": "uproj",
      "title": "Extension of a relation",
      "topics": [
        "extmin",
        "uproj"
      ]
    }
  ],
  "_readme": "https://github.com/rapler/dst-1/raw/HEAD/README.md",
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