Fuzzy sets in $\le$-hypergroupoids
Niovi Kehayopulu
TL;DR
This paper demonstrates how properties and results from ordered semigroups and semigroups can be extended to hypersemigroups and hypergroupoids, illustrating a method for transferring algebraic concepts to more generalized structures.
Contribution
It introduces a systematic approach to extend results from ordered groupoids and semigroups to hypergroupoids and hypersemigroups.
Findings
Transfer of results from semigroups to hypersemigroups
Method for passing from ordered groupoids to hypergroupoids
Framework for extending algebraic properties
Abstract
This paper serves as an example to show the way we pass from ordered groupoids (ordered semigroups) to ordered hypergroupoids (ordered hypersemigroups), from groupoids (semigroups) to hypergroupoids (hypersemigroups). The results on semigroups (or on ordered semigroup) can be transferred to hypersemigroups (or to ordered hypersemigroups) in the way indicated in the present paper.
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Taxonomy
TopicsFuzzy and Soft Set Theory