Document Type
Article
Source of Publication
AIMS Mathematics
Publication Date
1-1-2022
Abstract
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.
DOI Link
ISSN
Publisher
American Institute of Mathematical Sciences (AIMS)
Volume
7
First Page
1211
Last Page
1223
Disciplines
Physical Sciences and Mathematics
Keywords
(m, N)-ideal, Ordered semiring, Semiring, Single valued neutrosophic (m, N)-ideal, Single valued neutrosophic set
Scopus ID
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Al-Kaseasbeh, Saba; Al Tahan, Madeline; Davvaz, Bijan; and Hariri, Mariam, "Single valued neutrosophic (M; n)-ideals of ordered Semirings" (2022). All Works. 4631.
https://zuscholars.zu.ac.ae/works/4631
Indexed in Scopus
yes
Open Access
yes
Open Access Type
Gold: This publication is openly available in an open access journal/series