Title of article :
Extension Principle Based on Neutrosophic Multi-Fuzzy Sets and Algebraic Operations
Author/Authors :
Sahin, Mehmet Gaziantep University , Deli, Irfan Kilis 7 Aralık University , Ulucay, Vakkas Gaziantep University
Abstract :
In this paper, we first proposed the extension principles of neutrosophic multi-sets and cut sets which are a bridge between neu-
trosophic multi-sets and crisp sets. Then the representation theorem
of neutrosophic multi-sets based on cut sets are studied. Finally, the
addition, subtraction, multiplication and division operations over neu trosophic multi-sets are defined based on the extension principle
Keywords :
Neutrosophic set , multi-fuzzy set , extension principle , representation theorem
Journal title :
Astroparticle Physics