GENERALIZED CUBIC SOFT SETS AND THEIR APPLICATIONS TO ALGEBRAIC STRUCTURES

Authors

  • Asad Ali Beijing Institute of Technology - School of Mathematics and Statistics
  • Young Bae Jun Education Gyeongsang National University Chinju - Department of Mathematics
  • Madad Khan COMSATS Institute of information technology - Department of Mathematics
  • Fu-Gui Shi Beijing Institute of Technology - School of Mathematics and Statistics
  • Saima Anis COMSATS Institute of information technology - Department of Mathematics

Keywords:

cubic soft set, \(\mathcal{AG}\)-groupoid, left invertive law, medial law, paramedical law and (\(∈_{(\tilde{γ}_1,γ_2}), ∈_{(\tilde{γ}_1,γ_2)} \vee q_{(\tilde{δ} _1,δ_2})\))-cubic soft right ideal

Abstract

In this paper, we introduce the concepts of generalized cubic soft sets, generalized cubic soft \(\mathcal{AG}\)-subgroupoids and generalized cubic soft left (resp., right) ideals to study the algebraic structures and properties of \(\mathcal{AG}\)-groupoids.  We also give some examples of generalized cubic soft \(\mathcal{AG}\)-subgroupoids and generalized cubic soft left (resp., right) ideals.  Moreover, we characterize intra-regular \(\mathcal{AG}\)-groupoids using the properties of generalized cubic soft sets and generalized cubic soft right ideals.

Cover of n°35 Italian Journal of Pure and Applied Mathematics

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Published

2015-12-31

How to Cite

Ali, A., Jun, Y. B., Khan, M., Shi, F.-G., & Anis, S. (2015). GENERALIZED CUBIC SOFT SETS AND THEIR APPLICATIONS TO ALGEBRAIC STRUCTURES. Italian Journal of Pure and Applied Mathematics, 35, 393–414. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6419

Issue

N°35 - December 2015

Section

Articoli - Forum Editrice

License

Copyright (c) 2015 Asad Ali, Young Bae Jun, Madad Khan, Fu-Gui Shi, Saima Anis

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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