Semantics of Propositional Fuzzy Modal Logic with Evaluated Syntax and its Application to Fuzzy Decision Implications

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ID: 94355
2015
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Abstract
This paper deals with propositional fuzzy modal logic with evaluated syntax based on MV-algebras. We focus on its semantical theory from the viewpoint of Pavelka's graded semantics of propositional fuzzy logic, investigate the L-tautologies based on different Kripke frames. We also define the notion of L-semantical consequence operation, its some basic properties are obtained. Finally, this paper considers the fuzzy decision implications in propositional fuzzy modal logic with evaluated syntax based on MV-algebras, and presents a kind of semantical characteristics of fuzzy decision implications. Moreover, we introduce the notions of possible and necessary fuzzy decision implication, and their semantical characteristics are presented as well.
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Authors Pan, Xiaodong;Xu, Yang;
Journal international journal of computational intelligence systems
Year 2015
DOI
DOI not found
URL
https://www.atlantis-press.com/article/25868667.pdf
Keywords
Medicine Technology (General) Technology Science (General) Science meteorology. climatology electronic computers. computer science

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