Source of Publication
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.
American Institute of Mathematical Sciences (AIMS)
Physical Sciences and Mathematics
(m, N)-ideal, Ordered semiring, Semiring, Single valued neutrosophic (m, N)-ideal, Single valued neutrosophic set
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Al-Kaseasbeh, Saba; Al Tahan, Madeline; Davvaz, Bijan; and Hariri, Mariam, "Single valued neutrosophic (M; n)-ideals of ordered Semirings" (2022). All Works. 4631.
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Open Access Type
Gold: This publication is openly available in an open access journal/series