ファジィアブダクションにおける説明の存在条件と近似解法 Conditions of Existence of Fuzzy Explanations and Approximate Solutions in Fuzzy Abduction

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Abduction is the procedure to derive a set of hypotheses that explains a set of observed events under given knowledge. The derived set of hypotheses is called an explanation. We have already proposed a theory of fuzzy abduction that was an expansion of the abduction with fuzzy theory, and shown the way to derive fuzzy explanations. In the theory, observed events and hypotheses are expressed in fuzzy sets, and a set of implications with a truth value between zero and one is used as the given knowledge. However, it is not guaranteed that fuzzy explanations always exist. In this paper, we specify the necessary and sufficient conditions of existence of fuzzy explanations and propose a method to obtain approximate explanations when the conditions are not satisfied. Fuzzy abduction is a procedure similar to the inverse problem of fuzzy relational equations. However, unlike methods proposed so far in the inverse problem of fuzzy relational equations, our method has a merit that it does not need iterative calculation to obtain approximate solutions.

収録刊行物

  • 計測自動制御学会論文集  

    計測自動制御学会論文集 34(9), 1231-1236, 1998-09-30 

    The Society of Instrument and Control Engineers

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各種コード

  • NII論文ID(NAID)
    10002479480
  • NII書誌ID(NCID)
    AN00072392
  • 本文言語コード
    JPN
  • 資料種別
    ART
  • ISSN
    04534654
  • NDL 記事登録ID
    4571756
  • NDL 雑誌分類
    ZM11(科学技術--科学技術一般--制御工学)
  • NDL 請求記号
    Z14-482
  • データ提供元
    CJP書誌  NDL  J-STAGE 
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