Truth Degrees Theory and Approximate Reasoning in 3-Valued Propositional Pre-Rough Logic
By means of the function induced by a logical formula A, the concept of truth degree of the logical formula A is introduced in the 3-valued pre-rough logic in this paper. Moreover, similarity degrees among formulas are proposed and a pseudometric is defined on the set of formulas, and hence a possib...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/592738 |
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| _version_ | 1850173130673225728 |
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| author | Yingcang Ma Juanjuan Zhang Huan Liu |
| author_facet | Yingcang Ma Juanjuan Zhang Huan Liu |
| author_sort | Yingcang Ma |
| collection | DOAJ |
| description | By means of the function induced by a logical formula A, the concept of truth degree of the logical formula A is introduced in the 3-valued pre-rough logic in this paper. Moreover, similarity degrees among formulas are proposed and a pseudometric is defined on the set of formulas, and hence a possible framework suitable for developing approximate reasoning theory in 3-value logic pre-rough logic is established. |
| format | Article |
| id | doaj-art-d1cc47fe8db24ae79b6a340d0acd97b0 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d1cc47fe8db24ae79b6a340d0acd97b02025-08-20T02:19:55ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/592738592738Truth Degrees Theory and Approximate Reasoning in 3-Valued Propositional Pre-Rough LogicYingcang Ma0Juanjuan Zhang1Huan Liu2School of Science, Xi’an Polytechnic University, Xi’an 710048, ChinaSchool of Science, Xi’an Polytechnic University, Xi’an 710048, ChinaSchool of Science, Xi’an Polytechnic University, Xi’an 710048, ChinaBy means of the function induced by a logical formula A, the concept of truth degree of the logical formula A is introduced in the 3-valued pre-rough logic in this paper. Moreover, similarity degrees among formulas are proposed and a pseudometric is defined on the set of formulas, and hence a possible framework suitable for developing approximate reasoning theory in 3-value logic pre-rough logic is established.http://dx.doi.org/10.1155/2013/592738 |
| spellingShingle | Yingcang Ma Juanjuan Zhang Huan Liu Truth Degrees Theory and Approximate Reasoning in 3-Valued Propositional Pre-Rough Logic Journal of Applied Mathematics |
| title | Truth Degrees Theory and Approximate Reasoning in 3-Valued Propositional Pre-Rough Logic |
| title_full | Truth Degrees Theory and Approximate Reasoning in 3-Valued Propositional Pre-Rough Logic |
| title_fullStr | Truth Degrees Theory and Approximate Reasoning in 3-Valued Propositional Pre-Rough Logic |
| title_full_unstemmed | Truth Degrees Theory and Approximate Reasoning in 3-Valued Propositional Pre-Rough Logic |
| title_short | Truth Degrees Theory and Approximate Reasoning in 3-Valued Propositional Pre-Rough Logic |
| title_sort | truth degrees theory and approximate reasoning in 3 valued propositional pre rough logic |
| url | http://dx.doi.org/10.1155/2013/592738 |
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