Relations in the context of Turiyam sets

Recently, the Turiyam set was introduced as an extension of the neutrosophic set to handle the uncertainty data set beyond its truth, indeterminacy and falsity values. This article introduced the Cartesian product of Turiyam sets and Turiyam relations. Further, we defined operations on Turiyam relat...

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Published inBMC research notes Vol. 16; no. 1; p. 49
Main Authors Ganati, Gamachu Adugna, Srinivasa Rao Repalle, V N, Ashebo, Mamo Abebe
Format Journal Article
LanguageEnglish
Published England BioMed Central 09.04.2023
BMC
Subjects
Fuzzy sets
Medical diagnosis
Medical research
Neutrosophic sets
Research Note
Turiyam relations
Turiyam sets
Turiyam sets
Neutrosophic sets
Turiyam relations
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Summary:Recently, the Turiyam set was introduced as an extension of the neutrosophic set to handle the uncertainty data set beyond its truth, indeterminacy and falsity values. This article introduced the Cartesian product of Turiyam sets and Turiyam relations. Further, we defined operations on Turiyam relations as well as discussed the inverse and types of Turiyam relations. The Cartesian product of Turiyam sets, Turiyam relations, inverse Turiyam relation and types of Turiyam relations are stated and their properties are derived. Furthermore, examples are given to clarify some concepts.
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ISSN:1756-0500
1756-0500
DOI:10.1186/s13104-023-06292-4