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Hybrid ordered ideals in ordered semirings

Authors
Keerthika, V.Muhiuddin, G.Jun, Y.B.Elavarasan, B.
Issue Date
Jul-2023
Publisher
IOS Press BV
Keywords
hybrid interior ideals; hybrid structure; ideals; ordered semirings; Semiring
Citation
Journal of Intelligent and Fuzzy Systems, v.45, no.1, pp 1397 - 1408
Pages
12
Indexed
SCIE
SCOPUS
Journal Title
Journal of Intelligent and Fuzzy Systems
Volume
45
Number
1
Start Page
1397
End Page
1408
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/68746
DOI
10.3233/JIFS-224060
ISSN
1064-1246
1875-8967
Abstract
Fuzzy sets, soft sets, and their generalisations have always been important tools for mathematicians and researchers working with uncertainty. Jun proposed a hybrid structure that combined the concepts of a fuzzy set and a soft set. It should be noted that hybrid structures are a combination of soft set and fuzzy set speculation. Our aim is to explore the concept of hybrid ordered ideals and hybrid interior ideals in ordered semirings, as well as look at some of their related properties, which is one of the important aspects of this paper. In order to investigate the structure theory of hybrid ideals in ordered semirings, we define hybrid composition and hybrid addition. We also establish and characterise the regularity of ordered semirings in terms of hybrid structures. © 2023 - IOS Press. All rights reserved.
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