Study On The Algebraic Structure Of Refined Neutrosophic Numbers
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Study on the Algebraic Structure of Refined Neutrosophic Numbers
Author | : Qiaoyan Li |
Publisher | : Infinite Study |
Total Pages | : 13 |
Release | : |
Genre | : Mathematics |
ISBN | : |
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This paper aims to explore the algebra structure of refined neutrosophic numbers. Firstly, the algebra structure of neutrosophic quadruple numbers on a general field is studied. Secondly, The addition operator and multiplication operator on refined neutrosophic numbers are proposed and the algebra structure is discussed. We reveal that the set of neutrosophic refined numbers with an additive operation is an abelian group and the set of neutrosophic refined numbers with a multiplication operation is a neutrosophic extended triplet group. Moreover, algorithms for solving the neutral element and opposite elements of each refined neutrosophic number are given.
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