Fuzzy Left Almost Semihyperring
Authors
S I Rahman, N Hidayat, A R Alghofari
Corresponding Author
S I Rahman
Available Online 11 May 2021.
- DOI
- 10.2991/assehr.k.210508.097How to use a DOI?
- Keywords
- LA-semihyperrings, Subset Fuzzy, Fuzzy Hyperideals
- Abstract
The left almost semihyperring (LA) is an algebraic hyperstructure satisfying two axioms, these are the left inverse hyperoperation and the distributive axiom between multiplication and addition hyperoperation. In this article, the concept of fuzzy sets is applied to these structures so that we get a new algebraic structure, and it is called fuzzy left almost semihyperring. We show that the set of all fuzzy subsets in LA-semihyperring is also LA-semihyperring. Furthermore, the LA-subsemihyperring and hyperideal fuzzy properties and their relationship to the characteristic function and level set are analyzed.
- Copyright
- © 2021, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - S I Rahman AU - N Hidayat AU - A R Alghofari PY - 2021 DA - 2021/05/11 TI - Fuzzy Left Almost Semihyperring BT - Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020) PB - Atlantis Press SP - 412 EP - 417 SN - 2352-5398 UR - https://doi.org/10.2991/assehr.k.210508.097 DO - 10.2991/assehr.k.210508.097 ID - Rahman2021 ER -