Paper Info
Title
Generalized Modus Ponens for (U, N)-implications.
Abstract
The Modus Ponens becomes an essential property in approximate reasoning and fuzzy control when forward inferences are managed. Thus, the conjunctor and the fuzzy implication function used in the inference process are required to satisfy this property. Usually, the conjunctor is modeled by a t-norm, but recently also by conjunctive uninorms. In this paper we study when (U, N)-implications satisfy the Modus Ponens property with respect to a conjunctive uninorm U in general, in a similar way as it was previously done for RU-implications. The functional inequality derived from the Modus Ponens involves in this case two different uninorms and a fuzzy negation leading to many possibilities. So, this communication presents only a first step in this study and many cases depending on the classes of the involved uninorms are worth to study.
Year
DOI
Venue
2018
10.1007/978-3-319-91473-2_55
Communications in Computer and Information Science
Keywords
Field
DocType
Fuzzy implication function,(U, N)-implication Modus Ponens,t-norm,Uninorm,Natural negation
T-norm,Modus ponens,Algebra,Fuzzy implication,Inference,Fuzzy negation,Approximate reasoning,Fuzzy control system,Mathematics
Conference
Volume
ISSN
Citations 
853
1865-0929
1
PageRank 
References 
Authors
0.35
18
3
Name
Order
Citations
PageRank
M. Mas185549.96
Daniel Ruiz-Aguilera234525.56
Joan Torrens3125992.67