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  "Description": "Provides constructors and arithmetic for intuitionistic\nfuzzy values (intuitionistic fuzzy value, IFV) for\nintuitionistic fuzzy sets (Atanassov (1986)\n<doi:10.1016/S0165-0114(86)80034-3>), including aggregation\noperators of Xu (2007) <doi:10.1109/TFUZZ.2006.890678> and Xu\nand Yager (2006) <doi:10.1080/03081070600574353>:\nintuitionistic fuzzy weighted averaging (IFWA), intuitionistic\nfuzzy weighted geometric (IFWG), intuitionistic fuzzy ordered\nweighted averaging (IFOWA), intuitionistic fuzzy ordered\nweighted geometric (IFOWG), intuitionistic fuzzy hybrid\naveraging (IFHA), intuitionistic fuzzy hybrid geometric (IFHG),\nand Einstein operators; entropy (Szmidt and Kacprzyk (2000)\n<doi:10.1016/S0165-0114(98)00402-3>; Vlachos and Sergiadis\n(2007) <doi:10.1016/j.patrec.2006.07.004>) and distance and\nsimilarity measures, including Ye (2011)\n<doi:10.1016/j.mcm.2010.07.022> cosine similarity and Hamming,\nEuclidean and Hausdorff distances; intuitionistic fuzzy c-means\nand k-means clustering; approximate reasoning via compositional\ninference; and multi-criteria decision support via\nintuitionistic fuzzy Technique for Order of Preference by\nSimilarity to Ideal Solution (IF-TOPSIS) (Boran et al. (2009)\n<doi:10.1016/j.eswa.2009.03.039>) and score ranking. All\ncomputations use only base R with fully vectorised\nimplementations.",
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    "if_einstein_wa",
    "if_einstein_wg",
    "if_entropy",
    "if_fuzzify",
    "if_hesitation",
    "if_infer",
    "if_mul",
    "if_order",
    "if_pi",
    "if_pow",
    "if_rank",
    "if_rank_df",
    "if_rule_block",
    "if_scalar_mul",
    "if_score",
    "if_sim",
    "if_topsis",
    "ifcmeans",
    "ifha",
    "ifhg",
    "ifkmeans",
    "ifowa",
    "ifowg",
    "ifv",
    "ifwa",
    "ifwg",
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      "page": "if_add",
      "title": "Intuitionistic fuzzy arithmetic (Xu operations)",
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        "if_einstein_add",
        "if_einstein_mul",
        "if_einstein_pow",
        "if_einstein_scalar_mul",
        "if_mul",
        "if_pow",
        "if_scalar_mul"
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    },
    {
      "page": "if_aggregate_matrix",
      "title": "Aggregate rows of an IF decision matrix",
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    },
    {
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      "title": "Validate IFVs",
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      "title": "Complement of an IFV",
      "topics": [
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    {
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    {
      "page": "if_defuzzify",
      "title": "Defuzzify IFVs to crisp scores",
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    {
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      "topics": [
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    {
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    {
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      "title": "Fuzzify numeric data into intuitionistic fuzzy values",
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        "if_fuzzify"
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        "if_best",
        "if_hesitation",
        "if_order",
        "if_rank",
        "if_score"
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