An algebraic foundation for linguistic reasoning

• Huynh, Van Nam

• Murai, Tetsuya

• Nakamori, Yoshiteru

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.

identifier:https://dspace.jaist.ac.jp/dspace/handle/10119/5010

収録刊行物

• Fundamenta Informaticae

  Fundamenta Informaticae 78 (2), 271-294, 2007

  IOS Press

キーワード

• Linguistic reasoning
• fuzzy logic
• linguistic variable
• hedge algebra
• RH-algebra
• distributive lattice

詳細情報

• CRID: 1050001337537218688
• NII論文ID: 120000861763
• ISSN: 01692968
• Web Site: http://hdl.handle.net/10119/5010
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles