Consistency Degrees of Theories in Łukasiewicz Fuzzy and n-Valued Propositional Logic Systems
Author
Source
Applied Computational Intelligence and Soft Computing
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-07-07
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Information Technology and Computer Science
Abstract EN
By means of theory of truth degrees of formulas, according to deduction theorems and completeness theorems, the new concepts of consistency degrees and polar index for general theories in Łukasewicz fuzzy and n-valued propositional logic systems are introduced.
Moreover, sufficient and necessary conditions for a theory Γ to be consistent, inconsistent, and fully divergent are obtained.
Finally, some important properties of truth degrees of formulas are proposed.
American Psychological Association (APA)
Zhang, Jiancheng. 2010. Consistency Degrees of Theories in Łukasiewicz Fuzzy and n-Valued Propositional Logic Systems. Applied Computational Intelligence and Soft Computing،Vol. 2010, no. 2010, pp.1-7.
https://search.emarefa.net/detail/BIM-507118
Modern Language Association (MLA)
Zhang, Jiancheng. Consistency Degrees of Theories in Łukasiewicz Fuzzy and n-Valued Propositional Logic Systems. Applied Computational Intelligence and Soft Computing No. 2010 (2010), pp.1-7.
https://search.emarefa.net/detail/BIM-507118
American Medical Association (AMA)
Zhang, Jiancheng. Consistency Degrees of Theories in Łukasiewicz Fuzzy and n-Valued Propositional Logic Systems. Applied Computational Intelligence and Soft Computing. 2010. Vol. 2010, no. 2010, pp.1-7.
https://search.emarefa.net/detail/BIM-507118
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507118
