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このアイテムの引用には次の識別子を使用してください:
http://hdl.handle.net/10119/5010
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| タイトル: | An algebraic foundation for linguistic reasoning |
| 著者: | Huynh, Van Nam
Murai, Tetsuya
Nakamori, Yoshiteru |
| キーワード: | Linguistic reasoning
fuzzy logic
linguistic variable
hedge algebra
RH-algebra
distributive lattice |
| 発行日: | 2007 |
| 出版者: | IOS Press |
| 誌名: | Fundamenta Informaticae |
| 巻: | 78 |
| 号: | 2 |
| 開始ページ: | 271 |
| 終了ページ: | 294 |
| 抄録: | It is well known that algebraization has been successfully applied to classical and nonclassical logics (Rasiowa and Sikorski, 1968). Following this direction, an ordered-based approach to the problem of finding out a tool to describe algebraic semantics of Zadeh’s fuzzy logic has been introduced and developed by Nguyen Cat-Ho and colleagues during the last decades. In this line of research, RH algebra has been introduced in [20] as a unified algebraic approach to the natural structure of linguistic domains of linguistic variables. It was shown that every RH algebra of a linguistic variable with a chain of the primary terms is a distributive lattice. In this paper we will examine algebraic structures of RH algebras corresponding to linguistic domains having exactly two distinct primary terms, one being an antonym of the other, called symmetrical RH algebras. Computational results for the relatively pseudo-complement operation in these algebras will be given. |
| Rights: | Reprinted from Fundamenta Informaticae, 78(2), Van Nam Huynh, Tetsuya Murai, Yoshiteru NakamoriAn algebraic foundation for linguistic reasoning, 271-294, Copyright 2007, with permission from IOS Press. |
| URI: | http://hdl.handle.net/10119/5010 |
| 資料タイプ: | author |
| 出現コレクション: | a10-1. 雑誌掲載論文 (Journal Articles)
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このアイテムのファイル:
| ファイル |
記述 |
サイズ | 形式 |
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| FudaInfor-final.pdf | | 601Kb | Adobe PDF | 見る/開く |
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