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Truth Degrees Theory and Approximate Reasoning in 3-Valued Propositional Pre-Rough Logic
Author(s) -
Yingcang Ma,
Juanjuan Zhang,
Huan Liu
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/592738
Subject(s) - truth function , truth value , propositional calculus , similarity (geometry) , rough set , function (biology) , computer science , algorithm , mathematics , set (abstract data type) , artificial intelligence , discrete mathematics , programming language , image (mathematics) , evolutionary biology , biology
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

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