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Paper Information

Journal:   JOURNAL OF MATHEMATICAL EXTENSION   2018 , Volume 12 , Number 1; Page(s) 69 To 90.
 
Paper: 

Extension Principle Based on Neutrosophic Multi-Fuzzy Sets and Algebraic Operations

 
 
Author(s):  Sahin Mehmet, Deli i., Ulucay Vakkas*
 
* Department of Mathematics, Gaziantep University, Gaziantep,Turkey
 
Abstract: 
In this paper, we first proposed the extension principles of neutrosophic multi-sets and cut sets which are a bridge between neutrosophic 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 neutrosophic multi-sets are defined based on the extension principle.
 
Keyword(s): Neutrosophic set,multi-fuzzy set,extension principle,representation theorem
 
References: 
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