Intuitionistic Fuzzy 2-(0- or 1-) Prime Ideals in Semirings


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Authors

  • M. R. Thirumagal Department of Mathematics, Annamalai University, Annamalainagar, Tamilnadu, India
  • P. Murugadas Department of Mathematics, Government Arts and Science College, Karur, Tamilnadu, India

Keywords:

Semiring, intuitionistic fuzzy ideal ($k$-ideal), intuitionistic fuzzy 2-(0- or 1-) prime ideal, intuitionistic fuzzy $m_2(m_0 ~or~m_1)$-systems

Abstract

The notion of intuitionistic fuzzy set was introduced by Atanassov as a generalization of the notion of fuzzy set. The purpose of this paper is to introduce the concept of three different types of intuitionistic fuzzy prime ideals and it has been shown that $A$ is an intuitionistic fuzzy 2-prime ideal of the semiring $S$ if and only if $A^C$ is an intuitionistic fuzzy $m_2$-system in $S$.

 

Author Biographies

M. R. Thirumagal, Department of Mathematics, Annamalai University, Annamalainagar, Tamilnadu, India

 

 

P. Murugadas, Department of Mathematics, Government Arts and Science College, Karur, Tamilnadu, India

 

 

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Published

01-03-2018

How to Cite

M. R. Thirumagal, & P. Murugadas. (2018). Intuitionistic Fuzzy 2-(0- or 1-) Prime Ideals in Semirings. International Journal of Mathematics And Its Applications, 6(1 - D), 825–834. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1146

Issue

Vol. 6 No. 1 - D (2018)

Section

Research Article

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