"t-conorm" meaning in All languages combined

See t-conorm on Wiktionary

Noun [English]

Forms: t-conorms [plural]
Etymology: Short for triangular conorm. Etymology templates: {{m|en|triangular}} triangular, {{m|en|conorm}} conorm Head templates: {{en-noun}} t-conorm (plural t-conorms)
  1. (fuzzy logic) A binary function from [0,1] × [0,1] to [0,1], which, when given (a,b) as input, returns one minus a t-norm of (1 − a, 1 − b). Categories (topical): Fuzzy logic Synonyms: s-norm Related terms: t-norm
    Sense id: en-t-conorm-en-noun-U8LGRqkT Categories (other): English entries with incorrect language header

Inflected forms

Download JSON data for t-conorm meaning in All languages combined (1.8kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "triangular"
      },
      "expansion": "triangular",
      "name": "m"
    },
    {
      "args": {
        "1": "en",
        "2": "conorm"
      },
      "expansion": "conorm",
      "name": "m"
    }
  ],
  "etymology_text": "Short for triangular conorm.",
  "forms": [
    {
      "form": "t-conorms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "t-conorm (plural t-conorms)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Fuzzy logic",
          "orig": "en:Fuzzy logic",
          "parents": [
            "Logic",
            "Formal sciences",
            "Philosophy",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "The t-conorm √ is dominated by the t-conorm x+y-xy, which is in turn dominated by the t-conorm x+y/1+xy."
        },
        {
          "text": "A t-conorm acts as a disjunction in fuzzy logic or as a union in fuzzy set theory. When one of its arguments is 0, it returns its other argument; when one of its arguments is 1, it returns 1. It is both associative and commutative, and its partial derivatives with respect to its parameters are non-negative."
        }
      ],
      "glosses": [
        "A binary function from [0,1] × [0,1] to [0,1], which, when given (a,b) as input, returns one minus a t-norm of (1 − a, 1 − b)."
      ],
      "id": "en-t-conorm-en-noun-U8LGRqkT",
      "links": [
        [
          "fuzzy logic",
          "fuzzy logic"
        ],
        [
          "t-norm",
          "t-norm"
        ]
      ],
      "qualifier": "fuzzy logic",
      "raw_glosses": [
        "(fuzzy logic) A binary function from [0,1] × [0,1] to [0,1], which, when given (a,b) as input, returns one minus a t-norm of (1 − a, 1 − b)."
      ],
      "related": [
        {
          "word": "t-norm"
        }
      ],
      "synonyms": [
        {
          "word": "s-norm"
        }
      ]
    }
  ],
  "word": "t-conorm"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "triangular"
      },
      "expansion": "triangular",
      "name": "m"
    },
    {
      "args": {
        "1": "en",
        "2": "conorm"
      },
      "expansion": "conorm",
      "name": "m"
    }
  ],
  "etymology_text": "Short for triangular conorm.",
  "forms": [
    {
      "form": "t-conorms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "t-conorm (plural t-conorms)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "t-norm"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Fuzzy logic"
      ],
      "examples": [
        {
          "text": "The t-conorm √ is dominated by the t-conorm x+y-xy, which is in turn dominated by the t-conorm x+y/1+xy."
        },
        {
          "text": "A t-conorm acts as a disjunction in fuzzy logic or as a union in fuzzy set theory. When one of its arguments is 0, it returns its other argument; when one of its arguments is 1, it returns 1. It is both associative and commutative, and its partial derivatives with respect to its parameters are non-negative."
        }
      ],
      "glosses": [
        "A binary function from [0,1] × [0,1] to [0,1], which, when given (a,b) as input, returns one minus a t-norm of (1 − a, 1 − b)."
      ],
      "links": [
        [
          "fuzzy logic",
          "fuzzy logic"
        ],
        [
          "t-norm",
          "t-norm"
        ]
      ],
      "qualifier": "fuzzy logic",
      "raw_glosses": [
        "(fuzzy logic) A binary function from [0,1] × [0,1] to [0,1], which, when given (a,b) as input, returns one minus a t-norm of (1 − a, 1 − b)."
      ]
    }
  ],
  "synonyms": [
    {
      "word": "s-norm"
    }
  ],
  "word": "t-conorm"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-20 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.