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 |
| Place of Publication | Singapore, Singapore |
| Pages | 72-78 |
| Volume | 1 |
| State | Published - Aug 2010 |
| Event | 2010 - 9th International FLINS Conference on Foundations and Applications of Computational Intelligence - Chengdu Duration: 2 Aug 2010 → 4 Aug 2010 Conference number: FLINS 2010 |
Publication series
| Name | Computer Engineering and Information Science |
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| Number | 4 |
Conference
| Conference | 2010 - 9th International FLINS Conference on Foundations and Applications of Computational Intelligence |
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| Country/Territory | China |
| City | Chengdu |
| Period | 2010-08-02 → 2010-08-04 |