Title
Extending possibilistic logic over Gödel logic
Abstract
In this paper we present several fuzzy logics trying to capture different notions of necessity (in the sense of possibility theory) for Godel logic formulas. Based on different characterizations of necessity measures on fuzzy sets, a group of logics with Kripke style semantics is built over a restricted language, namely, a two-level language composed of non-modal and modal formulas, the latter, moreover, not allowing for nested applications of the modal operator N. Completeness and some computational complexity results are shown.
Year
DOI
Venue
2011
10.1016/j.ijar.2010.08.014
Int. J. Approx. Reasoning
Keywords
Field
DocType
gödel logic,fuzzy set,modal formula,possibilistic logic,different notion,restricted language,godel logic formula,different characterization,two-level language,fuzzy logic,necessity measures,modal operator,necessity measure,possibility theory,computational complexity
T-norm fuzzy logics,Discrete mathematics,Normal modal logic,Kripke semantics,Accessibility relation,Algebra,Multimodal logic,Modal logic,Artificial intelligence,Mathematics,Intermediate logic,S5
Journal
Volume
Issue
ISSN
52
1
International Journal of Approximate Reasoning
Citations 
PageRank 
References 
5
0.50
20
Authors
3
Name
Order
Citations
PageRank
Pilar Dellunde115622.63
Lluís Godo288856.28
Enrico Marchioni311412.96