LEVEL SOFT SEMIRING FROM FUZZY SUBSEMIRING

  • Saman Abdurrahman Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lambung Mangkurat, Indonesia https://orcid.org/0000-0001-9120-5922
  • Thresye Thresye Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lambung Mangkurat, Indonesia https://orcid.org/0009-0001-6310-2843
DOI: https://doi.org/10.30598/barekengvol20iss3pp2245-2258
Keywords: Algebraic operations, Fuzzy subsemiring, Level soft semiring

Abstract

This paper introduces the concept of a level soft set and a level soft semiring over a semiring derived from a fuzzy subsemiring. By employing the level subset approach of fuzzy sets, we construct soft structures whose images form subsemirings of the underlying semiring. Several fundamental properties of level soft semirings are established, including their behavior under intersection, union, and AND operations. These results extend classical semiring theory into the fuzzy–soft framework and provide a rigorous algebraic foundation for further theoretical developments. The proposed framework may serve as a basis for future applications in information systems, decision-making, and computational algebra.

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Published
2026-04-08
How to Cite
[1]
S. Abdurrahman and T. Thresye, “LEVEL SOFT SEMIRING FROM FUZZY SUBSEMIRING”, BAREKENG: J. Math. & App., vol. 20, no. 3, pp. 2245-2258, Apr. 2026.
Issue
Vol 20 No 3 (2026): BAREKENG: Journal of Mathematics and Its Application
Section
Articles

Copyright (c) 2026 Saman Abdurrahman, Thresye Thresye

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