The embedding of an ordered semihypergroup in terms of fuzzy sets
1Department of Mathematics & Computer Science, University of Gjirokastra, ALBANIA
2Yildiz Technical University, Dep. of Mathematics, Esenler-ISTANBUL
2Yildiz Technical University, Dep. of Mathematics, Esenler-ISTANBUL
Sigma J Eng Nat Sci 2018; 9(): 17-22
Abstract
In this paper we have investigated an embedding theorem of ordered semihypergroups in terms of fuzzy sets. We prove that an ordered semihypergroup 𝑅 is embedded in the set 𝐹(𝑅) of all fuzzy subsets of 𝑅, which is an poe-semigroup with the ordered relation and the multiplication and addition
defined in this paper.
Keywords: Semihypergroup, ordered semihypergroup, fuzzy sets.
