On intra-regular ordered \Gamma-semihypergroups

On regular and intra-regular Γ-semihypergroups

“…They have given many examples and explored the properties of Γ-semihypergroups on a large scale. The notion of ordered Γ-semihypergroup is given by M. Kondo and N. Lekkoksung in [22] where they have introduced bi-hyperideals, quasi-hyperideals, left hyperideals and right hyperideals in ordered Γ-semihypergroups and characterized intra-regular ordered Γ-semihypergroups in terms of their bi-hyperideals and quasi-hyperideals. Recently S. Omidi et al [24] defined and used the notion of regular ordered Γsemihypergroups to examine some classical results and properties in ordered Γ-semihypergroups.…”

On weakly bi-ideals in ordered semigroups and their fuzzifications

“…It was started by Marty, who introduced a higher level of groups, the concept of hypergroups (see [11]). Several hyperalgebraic structures were introduced after Marty introduced hypergroups, including ordered Γ -semihypergroups and ordered semihyperrings (see [2,9,14]). We recall some interesting results of these hyperstructures.…”

On (∈,∈∨qk)-Fuzzy Hyperideals in Ordered LA-Semihypergroups

“…There are several authors who study the ordering of hyperstructures, for instance, Bakhshi and Borzooei [18], Chvalina [19], Hoskova [20], Kondo and Lekkoksung [21], and Novak [22]. The ordering in LA-semihypergroups was introduced by Yaqoob and Gulistan [23].…”