On a class of distributive fuzzy implications

Authors
Baczynski, M
Citation
M. Baczynski, On a class of distributive fuzzy implications, INT J UNC F, 9(2), 2001, pp. 229-238
Citations number
11
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
ISSN journal
02184885 → ACNP
Volume
9
Issue
2
Year of publication
2001
Pages
229 - 238
Database
ISI
SICI code
0218-4885(200104)9:2<229:OACODF>2.0.ZU;2-R
Abstract
We deal with the system of functional equations I(x,T(y,z)) = T(I(x,y),I(x, z)), I(x, I(y,z)) = I(T(x,y),z), where function T: [0,1](2) --> [0,1] is a strict t-norm and I: [0, 1](2) --> [0,1] is an unknown function. Under some assumptions imposed on function I we obtain that I is almost conjugate wit h the Yager fuzzy implication.