Single valued neutrosophic $ (m, n) $-ideals of ordered semirings

The aim of this paper is to combine the innovative concept of single valued neutrosophic sets and ordered semirings. It studies ordered semirings by the properties of their single valued neutrosphic subsets. In this regard, we define single valued neutrosophic $ (m, n) $-ideals (SVN-$ (m, n) $-ideal...

Full description

Saved in:
Bibliographic Details
Published inAIMS mathematics Vol. 7; no. 1; pp. 1211 - 1223
Main Authors Al-Kaseasbeh, Saba, Tahan, Madeline Al, Davvaz, Bijan, Hariri, Mariam
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
(m，n)-ideal
ordered semiring
semiring
single valued neutrosophic (m，n)-ideal
single valued neutrosophic set
Online AccessGet full text

Cover

More Information
Summary:The aim of this paper is to combine the innovative concept of single valued neutrosophic sets and ordered semirings. It studies ordered semirings by the properties of their single valued neutrosphic subsets. In this regard, we define single valued neutrosophic $ (m, n) $-ideals (SVN-$ (m, n) $-ideals) of ordered semirings. First, we illustrate our new definition by non-trivial examples. Second, we study these SVN-$ (m, n) $-ideals under different operations of SVNS. Finally, we find a relationship between the $ (m, n) $-ideals of ordered semirings and level sets by finding a necessary and sufficient condition for an SVNS of an ordered semiring $ R $ to be an SVN-$ (m, n) $-ideal of $ R $.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022071