Title
Continuity issues of the implicational interpretation of fuzzy rules
Abstract
The implicational interpretation of fuzzy rules has received little attention in real-world applications so far. This is largely due to the fact that ensuring continuity of the resulting function is not a straightforward task. This paper targets this subject. Departing from consistent linguistic descriptions/rule bases, we introduce sufficient conditions for the continuity of the implicational interpretation with mean of maximum defuzzification. We demonstrate that continuity can be achieved under practically feasible conditions, regardless of the dimensionality of the input.
Year
DOI
Venue
2010
10.1016/j.fss.2010.03.009
Fuzzy Sets and Systems
Keywords
Field
DocType
linguistic description,conjunctive normal form,rule based
Linguistic description,Discrete mathematics,Defuzzification,Fuzzy logic,Curse of dimensionality,Conjunctive normal form,Mathematics
Journal
Volume
Issue
ISSN
161
14
0165-0114
Citations 
PageRank 
References 
16
0.71
19
Authors
4
Name
Order
Citations
PageRank
Martin Stepnicka144750.26
Ulrich Bodenhofer270568.02
Martina Danková321418.11
Vilém Novák41247132.67