Title of article :
F-transforms determined by implicators
Author/Authors :
Tripathi, A. Department of Mathematics & Computing - Indian Institute of Technology (ISM), India , Tiwari, S. P. Department of Mathematics & Computing - Indian Institute of Technology (ISM), India , Perfilieva, I. University of Ostrava - Institute for Research and Applications of Fuzzy Modeling, Czech Republic
Abstract :
This work aims to study F-transforms based on general implicators and to investigate their basic properties. Interestingly, we show that some of the properties of F-transforms fail to hold in the case of implicators, such as S- and QL-implicators. {Further, we establish an equivalence between L-fuzzy transformation systems and F-transforms}.
Keywords :
L-fuzzy transformation system , F-transform , L-fuzzy partition , Implicator
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
