|
|
JAIST Repository >
a. 知識科学研究科・知識科学系 >
a10. 学術雑誌論文等 >
a10-1. 雑誌掲載論文 >
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/10119/4996
|
| タイトル: | An algebraic approach to linguistic hedges in Zadeh's fuzzy logic |
| 著者: | Nguyen, Ho C.
Huynh, V. Nam |
| キーワード: | Approximate reasoning
Fuzzy logic
Linguistic variable
Hedge algebra
RH_algebra
Distributive lattice |
| 発行日: | 2002-07-16 |
| 出版者: | Elsevier |
| 誌名: | Fuzzy Sets and Systems |
| 巻: | 129 |
| 号: | 2 |
| 開始ページ: | 229 |
| 終了ページ: | 254 |
| DOI: | 10.1016/S0165-0114(01)00147-6 |
| 抄録: | The paper addresses the mathematical modelling of domains of linguistic variables, i.e. term-sets of linguistic variables, in order to obtain a suitable algebraic structure for the set of truth values of Zadeh's fuzzy logic. We shall give a unified algebraic approach to the natural structure of domains of linguistic variables, which was proposed by Ho and Wechler (Fuzzy Sets and Systems 35 (1990) 281) and, then, by Ho and Nam (Proc. NCST Vietnam 9 (1) (1997) 15; Logic, Algebra and Computer Science, Vol. 46, Banach Center Publications, PWN, Warsaw, 1999, p. 63). In this approach, every linguistic domain can be considered as an algebraic structure called hedge algebra, because properties of its unary operations reflect semantic characteristics of linguistic hedges. Many fundamental properties of refined hedge algebras (RH_algebras) are examined, especially it is shown that every RH_algebra of a linguistic variable with a chain of the primary terms is a distributive lattice. RH_algebras with exactly two distinct primary terms, one being an antonym of the other, will also be investigated and they will be called symmetrical RH_algebras. It is shown that a class of finite symmetrical RH_algebras has a rich enough algebraic structure. |
| Rights: | NOTICE: This is the author's version of a work accepted for publication by Elsevier. Nguyen C. Ho and Huynh V. Nam, Fuzzy Sets and Systems, 129(2), 2002, 229-254, http://dx.doi.org/10.1016/S0165-0114(01)00147-6 |
| URI: | http://hdl.handle.net/10119/4996 |
| 資料タイプ: | author |
| 出現コレクション: | a10-1. 雑誌掲載論文 (Journal Articles)
|
このアイテムのファイル:
| ファイル |
記述 |
サイズ | 形式 |
|---|
| C2009.pdf | | 425Kb | Adobe PDF | 見る/開く |
|
当システムに保管されているアイテムはすべて著作権により保護されています。
|
