Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)

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/).

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Volume Title
Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)
Series
Advances in Social Science, Education and Humanities Research
Publication Date
11 May 2021
ISBN
978-94-6239-378-3
ISSN
2352-5398
DOI
10.2991/assehr.k.210508.097How to use a DOI?
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  -