Title of article :
INTUITIONISTIC FUZZY BI-IMPLICATOR and PROPERTIES OF LUKASIEWICZ INTUITIONISTIC FUZZY BI-IMPLICATOR
Author/Authors :
ASHRAF, S Queen Mary College For Women - Lahore, Pakistan , QAYYUM, M COMSATS Institute of Information Technology - Lahore, Pakistan , E KERRE, E Department of Applied Mathematics - Computer Science and Statistics - Gent University, Krijgslaan
Abstract :
This paper presents axiomatic as well as constructive definitions of intuitionistic fuzzy bi-implicators based on intuitionistic fuzzy t-norms and their intuitionistic fuzzy residual implicators. The inter-relationship among different proposed classes
is presented along with a detailed study of the properties of one of these intuitionistic
fuzzy bi-implicators called the intuitionistic fuzzy β−bi-implicator operator constructed
using Lukasiewicz intuitionistic fuzzy t-norm and its R-implicator.
Keywords :
Intuitionistic fuzzy set , Intuitionistic fuzzy implicator , Intuitionistic fuzzy t-norm , Intuitionistic fuzzy bi-implicator
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
