Volume 8 , Issue 1 , PP: 18-22, 2024 | Cite this article as | XML | Html | PDF
Rashel Abu Hakmeh 1 * , Murhaf Obaidi 2
Doi: https://doi.org/10.54216/JNFS.080102
The main goal of this work is to study the solutions of linear congruencies in the standard and n-standard fuzzy number theoretical systems, where we present necessary and sufficient conditions for fuzzy congruence to be solvable in these systems. Also, we provide the conditions of fuzzy nilpotency and fuzzy invertibility modulo integers with many illustrated examples. On the other hand, we suggest an algorithm to generate fuzzy Pythagoras triples and fuzzy Pythagoras quadruples in the standard fuzzy number theoretical system.
standard fuzzy number theoretical system , n-standard system , fuzzy Pythagoras triple , fuzzy nilpotent element , fuzzy invertible element
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