Paper Info
Title
Exact solutions for interacting rules in generalized modus ponens with parameterized implication functions
Abstract
Many authors have presented exact analyses of the behavior of an isolated fuzzy inference rule, and many have presented empirical studies of the behavior of multiple-rule systems. This paper presents an exact analysis of the behavior of a class of two-rule systems in which the antecedent and consequent membership functions are trapezoidal and the implication operator is a strong implication (S-implication) or a residuated implication (R-implication) formed by the Schweizer-Sklar family of parameterized T-norms. The two-rule system exhibits many emergent properties not found when a single rule is studied, and much of the behavior of many-rule systems is dominated by two-rule interactions.
Year
DOI
Venue
1996
10.1016/0020-0255(96)00050-3
Inf. Sci.
Keywords
Field
DocType
exact solution,interacting rule,parameterized implication function,generalized modus ponens,empirical study,emergent properties,membership function,modus ponens
Discrete mathematics,Parameterized complexity,Modus ponens,Fuzzy logic,Fuzzy set,Operator (computer programming),Artificial intelligence,Fuzzy control system,Rule of inference,Empirical research,Mathematics
Journal
Volume
Issue
ISSN
92
1-4
0020-0255
Citations 
PageRank 
References 
4
0.71
6
Authors
1
Name
Order
Citations
PageRank
Thomas Whalen111532.39