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Algebraic Hyperstructures of Vague Soft Sets Associated with Hyperrings and Hyperideals

التراكيب المفرطة الجبرية للمجموعات الناعمة الغامضة المرتبطة بالأوتار المفرطة والمثالية المفرطة
Authors: Ganeshsree Selvachandran; Abdul Razak Salleh;

Algebraic Hyperstructures of Vague Soft Sets Associated with Hyperrings and Hyperideals

Abstract

We apply the classical theory of hyperrings to vague soft sets to derive the concepts of vague soft hyperrings, vague soft hyperideals, and vague soft hyperring homomorphism. The properties and structural characteristics of these concepts are also studied and discussed. Furthermore, the relationship between the concepts introduced here and the corresponding concepts in classical hyperring theory and soft hyperring theory is studied and investigated.

Keywords

Algebraic number, Technology, Artificial intelligence, Science, Social Sciences, Management Science and Operations Research, Multi-Criteria Decision Making, Mathematical analysis, Decision Sciences, Algebraic properties, Soft set, Fuzzy Logic and Residuated Lattices, FOS: Mathematics, Algebra over a field, T, Q, R, Application of Soft Set Theory in Decision Making, Pure mathematics, Computer science, Fuzzy logic, Computational Theory and Mathematics, Computer Science, Physical Sciences, Homomorphism, Soft Set Theory, Medicine, Mathematics, Research Article

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
Green
gold