International Journal of Computational Intelligence Systems

Volume 8, Issue Supplement 1, December 2015, Pages 85 - 93

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

Authors
Xiaodong Pan, Yang Xu
Corresponding Author
Xiaodong Pan
Received 10 February 2015, Accepted 27 October 2015, Available Online 1 December 2015.
DOI
10.1080/18756891.2015.1129581How to use a DOI?
Keywords
Propositional fuzzy modal logic, Evaluated syntax, L-tautology, MV-algebra, Consequence operation, Fuzzy decision implication
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.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
8 - Supplement 1
Pages
85 - 93
Publication Date
2015/12/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.1080/18756891.2015.1129581How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Xiaodong Pan
AU  - Yang Xu
PY  - 2015
DA  - 2015/12/01
TI  - Semantics of Propositional Fuzzy Modal Logic with Evaluated Syntax and its Application to Fuzzy Decision Implications
JO  - International Journal of Computational Intelligence Systems
SP  - 85
EP  - 93
VL  - 8
IS  - Supplement 1
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2015.1129581
DO  - 10.1080/18756891.2015.1129581
ID  - Pan2015
ER  -