Study on the Algebraic Structure of Refined Neutrosophic Numbers

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  • Study on the Algebraic Structure of Refined Neutrosophic Numbers Book Detail

  • Author : Qiaoyan Li
  • Release Date :
  • Publisher : Infinite Study
  • Genre : Mathematics
  • Pages : 13
  • ISBN 13 :
  • File Size : 78,78 MB

Study on the Algebraic Structure of Refined Neutrosophic Numbers by Qiaoyan Li PDF Summary

Book Description: 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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n-Refined Neutrosophic Groups I

n-Refined Neutrosophic Groups I

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The aim of this paper is to define for the first time the concept of n-refined neutrosophic group. This work is devoted to study some elementary properties of n

n-Refined Neutrosophic Modules

n-Refined Neutrosophic Modules

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This paper introduces the concept of n-refined neutrosophic module as a new generalization of neutrosophic modules and refined neutrosophic modules respectively