A Linguistic Truth-Valued Uncertainty Reasoning Model Based on Lattice-Valued Logic

The subject of this work is to establish a mathematical framework that provide the basis and tool for uncertainty reasoning based on linguistic information. This paper focuses on a flexible and realistic approach, i.e., the use of linguistic terms, specially, the symbolic approach acts by direct com...

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Published inFuzzy Systems and Knowledge Discovery pp. 276 - 284
Main Authors Chen, Shuwei, Xu, Yang, Ma, Jun
Format Book Chapter Conference Proceeding
LanguageEnglish
Published Berlin, Heidelberg Springer Berlin Heidelberg 01.01.2005
Springer
SeriesLecture Notes in Computer Science
Subjects
Applied sciences
Artificial intelligence
Computer science; control theory; systems
Exact sciences and technology
Imprecise Information
Linguistic Term
Linguistic Variable
Residuated Lattice
Symbolic Approach
Algebraic structure
Uncertainty
Model-based reasoning
Uncertain system
Algebra
Imperfect information
Linguistics
Logical programming
Symbolic computation
Incomplete information
Linguistic model
Lattice
Online AccessGet full text
ISBN3540283129
9783540283126
ISSN0302-9743
1611-3349
DOI10.1007/11539506_35

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Abstract The subject of this work is to establish a mathematical framework that provide the basis and tool for uncertainty reasoning based on linguistic information. This paper focuses on a flexible and realistic approach, i.e., the use of linguistic terms, specially, the symbolic approach acts by direct computation on linguistic terms. An algebra model with linguistic terms, which is based on a logical algebraic structure, i.e., lattice implication algebra, is applied to represent imprecise information and deals with both comparable and incomparable linguistic terms (i.e., non-ordered linguistic terms). Within this framework, some inferential rules are analyzed and extended to deal with these kinds of lattice-valued linguistic information.
AbstractList The subject of this work is to establish a mathematical framework that provide the basis and tool for uncertainty reasoning based on linguistic information. This paper focuses on a flexible and realistic approach, i.e., the use of linguistic terms, specially, the symbolic approach acts by direct computation on linguistic terms. An algebra model with linguistic terms, which is based on a logical algebraic structure, i.e., lattice implication algebra, is applied to represent imprecise information and deals with both comparable and incomparable linguistic terms (i.e., non-ordered linguistic terms). Within this framework, some inferential rules are analyzed and extended to deal with these kinds of lattice-valued linguistic information.
Author Xu, Yang
Ma, Jun
Chen, Shuwei
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  organization: Department of Mathematics, Southwest Jiaotong University, Chengdu, P.R. China
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2005 INIST-CNRS
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Wang, Lipo
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Keywords Algebraic structure
Uncertainty
Model-based reasoning
Uncertain system
Algebra
Imperfect information
Linguistics
Logical programming
Symbolic computation
Incomplete information
Linguistic model
Lattice
Language English
License CC BY 4.0
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PublicationSeriesSubtitle Lecture Notes in Artificial Intelligence
PublicationSeriesTitle Lecture Notes in Computer Science
PublicationSubtitle Second International Conference, FSKD 2005, Changsha, China, August 27-29, 2005, Proceedings, Part I
PublicationTitle Fuzzy Systems and Knowledge Discovery
PublicationYear 2005
Publisher Springer Berlin Heidelberg
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Snippet The subject of this work is to establish a mathematical framework that provide the basis and tool for uncertainty reasoning based on linguistic information....
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StartPage 276
SubjectTerms Applied sciences
Artificial intelligence
Computer science; control theory; systems
Exact sciences and technology
Imprecise Information
Linguistic Term
Linguistic Variable
Residuated Lattice
Symbolic Approach
Title A Linguistic Truth-Valued Uncertainty Reasoning Model Based on Lattice-Valued Logic
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