Fuzzy Linguistic Logic Programming

Authors:
Van Hung Le;Fei Liu;Dinh Khang Tran
Affiliations:
Department of Computer Science and Computer Engineering, La Trobe University, Bundoora, Australia VIC 3086;Department of Computer Science and Computer Engineering, La Trobe University, Bundoora, Australia VIC 3086;Faculty of Information Technology, Hanoi University of Technology, Hanoi, Vietnam
Venue:
ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Artificial Intelligence
Year:
2008

Citing 7
Cited 1

Foundations of logic programming; (2nd extended ed.)

Foundations of logic programming; (2nd extended ed.)
Hedge algebras: an algebraic approach to structure of sets of linguistic truth values

Fuzzy Sets and Systems
Extended hedge algebras and their application to fuzzy logic

Fuzzy Sets and Systems
Knowledge Representation in Fuzzy Logic

IEEE Transactions on Knowledge and Data Engineering
A topological completion of refined hedge algebras and a model of fuzziness of linguistic terms and hedges

Fuzzy Sets and Systems
Optimal hedge-algebras-based controller: Design and application

Fuzzy Sets and Systems
Fixpoint Semantics and Completeness of the Computational Model for Fuzzy Linguistic Logic Programming

ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Artificial Intelligence

Fixpoint Semantics and Completeness of the Computational Model for Fuzzy Linguistic Logic Programming

ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Artificial Intelligence

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Abstract

This paper presents fuzzy linguistic logic programming which is developed based on fuzzy logic programming introduced by P. Vojtáš in order to facilitate the representation and reasoning on knowledge expressed in natural language. In fuzzy linguistic logic programming, truth values are linguistic terms such as true, very true, more or less true,and falsetaken from a hedge algebra of the truth variable, and linguistic hedges, e.g., very, more or less, quite,and rather, which are frequently used in natural language, can be used as unary connectives in formulae. In order to compute the truth value of a query, we provide a computational model which directly manipulates linguistic terms. The soundness of the computational model is proved. A fixpoint semantics of logic programs and the completeness of the computational model are discussed.