"t-conorm" meaning in All languages combined

See t-conorm on Wiktionary

Noun [English]

Forms: t-conorms [plural]
Etymology: Short for triangular 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, Pages with 1 entry, Pages with entries

Inflected forms

{
  "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": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "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 #92;sqrt#123;x²#43;y²-x²y²#125; is dominated by the t-conorm x#43;y-xy, which is in turn dominated by the t-conorm #123;x#43;y#92;over 1#43;xy#125;.",
          "type": "example"
        },
        {
          "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.",
          "type": "example"
        }
      ],
      "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_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",
        "English terms with usage examples",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Fuzzy logic"
      ],
      "examples": [
        {
          "text": "The t-conorm #92;sqrt#123;x²#43;y²-x²y²#125; is dominated by the t-conorm x#43;y-xy, which is in turn dominated by the t-conorm #123;x#43;y#92;over 1#43;xy#125;.",
          "type": "example"
        },
        {
          "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.",
          "type": "example"
        }
      ],
      "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"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-31 from the enwiktionary dump dated 2025-01-20 using wiktextract (bcd5c38 and 9dbd323). 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.

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