INTUITIONISTIC FUZZY BI-IMPLICATOR AND PROPERTIES OF LUKASIEWICZ INTUITIONISTIC FUZZY BI-IMPLICATOR

S. ASHRAF1, M. QAYYUM2, E. E KERRE3

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Abstract

This paper presents axiomatic as well as constructive denitions of intu- itionistic fuzzy bi-implicators based on intuitionistic fuzzy t-norms and their intuition- istic fuzzy residual implicators. The inter-relationship among dierent proposed classes is presented along with a detailed study of the properties of one of these intuitionistic fuzzy bi-implicators called the intuitionistic fuzzy 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.