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:	Yingcang Ma, Juanjuan Zhang, Huan Liu
Format:	Article
Language:	English
Published:	Hindawi Limited 2013-01-01
Series:	Journal of Applied Mathematics
Online Access:	http://dx.doi.org/10.1155/2013/592738

id	doaj-d1cc47fe8db24ae79b6a340d0acd97b0
record_format	Article
spelling	doaj-d1cc47fe8db24ae79b6a340d0acd97b02020-11-24T21:42:12ZengHindawi LimitedJournal 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
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yingcang Ma Juanjuan Zhang Huan Liu
spellingShingle	Yingcang Ma Juanjuan Zhang Huan Liu Truth Degrees Theory and Approximate Reasoning in 3-Valued Propositional Pre-Rough Logic Journal of Applied Mathematics
author_facet	Yingcang Ma Juanjuan Zhang Huan Liu
author_sort	Yingcang Ma
title	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_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_sort	truth degrees theory and approximate reasoning in 3-valued propositional pre-rough logic
publisher	Hindawi Limited
series	Journal of Applied Mathematics
issn	1110-757X 1687-0042
publishDate	2013-01-01
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.
url	http://dx.doi.org/10.1155/2013/592738
work_keys_str_mv	AT yingcangma truthdegreestheoryandapproximatereasoningin3valuedpropositionalpreroughlogic AT juanjuanzhang truthdegreestheoryandapproximatereasoningin3valuedpropositionalpreroughlogic AT huanliu truthdegreestheoryandapproximatereasoningin3valuedpropositionalpreroughlogic
_version_	1725918489138429952

Truth Degrees Theory and Approximate Reasoning in 3-Valued Propositional Pre-Rough Logic

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