Abstract
Investigations on an algebraic structure of linguistic truth values in decision making and social science applications still lack a formalism for development of strict linguistic truth-valued logic system and its approximate reasoning scheme in practice. To attain this goal we characterize and construct the structure of linguistic value sets in natural language by a lattice-valued algebra structure - lattice implication algebra (LIA), where Łukasiewicz implication algebra, as a special case of LIA, plays a substantial role. By using Łukasiewicz logic’s axiomatizability in terms of Pavelka type fuzzy logic, we propose a new axiomatizable linguistic truth-valued logic system based on LIA to place an important foundation for further establishing formal linguistic valued logic based approximate reasoning systems. This proposed logic system has a distinct advantage of handling incomparable linguistic terms in perception-based decision making processes.
| Original language | English |
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| Title of host publication | Computational Intelligence Foundations and Applications - Proceedings of the 9th International FLINS Conference, FLINS 2010 |
| Editors | Da Ruan, Etienne E. Kerre, Da Ruan, Guoqing Chen, Tianrui Li, Yang Xu |
| Publisher | World Scientific Publishing Co. Pte Ltd |
| Pages | 72-78 |
| Number of pages | 7 |
| ISBN (Electronic) | 9814324698, 9789814324694 |
| DOIs | |
| Publication status | Published (in print/issue) - 2010 |
| Event | Computational Intelligence Foundations and Applications - 9th International Fuzzy Logic and Intelligent Technologies in Nuclear Science Conference, FLINS 2010 - Emei, Chengdu, China Duration: 2 Aug 2010 → 4 Aug 2010 |
Publication series
| Name | Computational Intelligence Foundations and Applications - Proceedings of the 9th International FLINS Conference, FLINS 2010 |
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Conference
| Conference | Computational Intelligence Foundations and Applications - 9th International Fuzzy Logic and Intelligent Technologies in Nuclear Science Conference, FLINS 2010 |
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| Country/Territory | China |
| City | Emei, Chengdu |
| Period | 2/08/10 → 4/08/10 |
Bibliographical note
Funding Information:* This work is supported by the National Natural Science Foundation of China (No. 60875034), the Specialized Research Foundation for the Doctoral Program of Higher Education of China (Grant No. 20060613007), and the research project TIN2009-08286 and P08-TIC-3548. † The correspondent author, email: [email protected].
Publisher Copyright:
© 2010 by World Scientific Publishing Co. Pte. Ltd.