Neutrosophic Overlap Function and Its Derived Neutrosophic Residual Implication

Abstract

A new concept of neutrosophic overlap function is given, furthermore a neutrosophic residual implication derived from it is also introduced. Firstly, we give new concept of neutrosophic overlap function and some classical examples which are introduced on the lattice. Secondly, the concept of representable neutrosophic overlap function and its pertinent examples are given, meanwhile the general method of constructing representable neutrosophic overlap function by using intuitionistic overlap function is given. Finally, neutrosophic residual implication induced by neutrosophic overlap function and its basic properties are studied.

Keywords

• neutrosophic overlap function
• lattice
• representable neutrosophic overlap function
• neutrosophic residual implication