一般注記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.
identifier:https://dspace.jaist.ac.jp/dspace/handle/10119/5010
一次資料へのリンクURLhttps://dspace.jaist.ac.jp/dspace/bitstream/10119/5010/1/FudaInfor-final.pdf
著作権情報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.
連携機関・データベース国立情報学研究所 : 学術機関リポジトリデータベース(IRDB)(機関リポジトリ)
提供元機関・データベース北陸先端科学技術大学院大学 : JAIST学術研究成果リポジトリ