COMPARATIVE STRONG FILTERS IN HYPER QUASI-ORDERED RESIDUATED SYSTEMS

Authors

  • Daniel Abraham Romano International Mathematical Virtual Institute, Banja Luka, Bosnia and Herzegovina Author

DOI:

https://doi.org/10.37560/matbil2448107r

Keywords:

quasi-ordered redisuated system, QRS, hyper QRS, filter in hyper QRS, implicative strong filter in hyper QRS, comparative filter in hyper QRS

Abstract

The concept of quasi-ordered residuated systems as a generalization of both quasi-ordered commutative residuated lattices and hoop-algebras was developed in 2018 by Bonzio and Chajda. The ideas of the theory of hyper structures were applied to this system by this author and designed the concept of hyper quasi-ordered residuated system. In this paper, the concept of comparative strong filters in a hyper quasi-ordered residuated system is constructed and analyzed. This concept is compared to a (strong) filter in this algebraic structure, also.

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Published

2024-04-04

Issue

Vol. 48 No. 1 (2024): 48 (LXXIV) 1 (2024)

Section

Articles

License

Copyright (c) 2024 Matematichki Bilten

Creative Commons License

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

How to Cite

[1]
D. A. Romano, “COMPARATIVE STRONG FILTERS IN HYPER QUASI-ORDERED RESIDUATED SYSTEMS”, Mat. Bilt., vol. 48, no. 1, pp. 7–16, Apr. 2024, doi: 10.37560/matbil2448107r.