An Algebraic Foundation for Linguistic Reasoning

• Autorzy: Huynh. V.N. , Murai T. , Nakamori Y.
• Języki publikacji: EN

Abstrakty

EN

It is well known that algebraization has been successfully applied to classical and non-classical 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.

Słowa kluczowe

EN

linguistic reasoning; fuzzy logic; linguistic variable; hedge algebra; RH-algebra; distributive lattice

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2007
• Tom: Vol. 78, nr 2
• Strony: 271--294
• Opis fizyczny: bibliogr. 32 poz.

Twórcy

autor

Huynh. V.N.

autor

Murai T.

autor

Nakamori Y.

• School of Knowledge Science, Japan Advanced Institute of Science and technology, 1-1 Asahidai, Nomi, Ishikawa 923-1292, Japan,

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