Extension principle based on neutrosophic multi-sets and algebraic operations
DOI:
https://doi.org/10.30495/jme.v12i1.617Keywords:
Neutrosophic set, neutrosophic multiset, cut sets, extension principles, representation theorem. algebraic operations.Abstract
The Smaradanche's neutrosophic set theory has become a popular topic of investigation in the fuzzyand intuitionistic community. However, there is less investigation on the cut sets and extension principlesfor neutrosophic sets and neutrosophic multi-sets, as well as algebraic operations. In this paper, we first proposed the extension principles of neutrosophic multi-sets and cut sets which is a bridge betweenneutrosophic multi-sets and crisp sets. Then the representation theorem of neutrosophic multi-setsbased on cut sets are studied. Finally, the addition, subtraction, multiplication and division operationsover neutrosophic multi-sets are defined based on the extension principle.Downloads
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