Hybrid ideals in near-subtraction semigroups

S. Meenakshi; G. Muhiuddin; B. Elavarasan; D. Al-Kadi; S. Meenakshi; G. Muhiuddin; B. Elavarasan; D. Al-Kadi

doi:10.3934/math.2022746

AIMS Mathematics

2022, Volume 7, Issue 7: 13493-13507. doi: 10.3934/math.2022746

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Research article Special Issues

Hybrid ideals in near-subtraction semigroups

1.
Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore 641114, Tamilnadu, India
2.
Department of Mathematics, University of Tabuk, P. O. Box 741, Tabuk 71491, Saudi Arabia
3.
Department of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia

Received: 05 February 2022 Revised: 11 April 2022 Accepted: 21 April 2022 Published: 20 May 2022
MSC : 06D72, 20M12

The fuzzy set is highly beneficial for expressing people's hesitations in their everyday lives, and it is a great tool for dealing with uncertainty, which can be described precisely and perfectly from the decision-maker's point of view. Soft set theory has been developed in recent years to address real-world issues. Jun et al. merged fuzzy and soft sets to produce hybrid structures. Hybrid structures are soft set and fuzzy set speculations. The concept of hybrid ideals in near-subtraction semigroups is introduced in this paper, and their equivalent results are obtained. Additionally, we demonstrate the concept of hybrid intersection. Moreover, we define the concept of homomorphism of a hybrid structure in a near-subtraction semigroup.
- semigroup,
- ideals,
- subtraction semigroup,
- hybrid structure,
- hybrid ideals,
- hybrid intersection
Citation: S. Meenakshi, G. Muhiuddin, B. Elavarasan, D. Al-Kadi. Hybrid ideals in near-subtraction semigroups[J]. AIMS Mathematics, 2022, 7(7): 13493-13507. doi: 10.3934/math.2022746

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Abstract

The fuzzy set is highly beneficial for expressing people's hesitations in their everyday lives, and it is a great tool for dealing with uncertainty, which can be described precisely and perfectly from the decision-maker's point of view. Soft set theory has been developed in recent years to address real-world issues. Jun et al. merged fuzzy and soft sets to produce hybrid structures. Hybrid structures are soft set and fuzzy set speculations. The concept of hybrid ideals in near-subtraction semigroups is introduced in this paper, and their equivalent results are obtained. Additionally, we demonstrate the concept of hybrid intersection. Moreover, we define the concept of homomorphism of a hybrid structure in a near-subtraction semigroup.

References

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