Computational and Applied Mathematics | 2019
On generalized fuzzy hyperideals in ordered LA-semihypergroups
Abstract
In this paper, we study the hyperideals of ordered LA-semihypergroups in terms of $$(\\overline{\\in },\\overline{\\in }\\vee \\overline{q_{k}})$$(∈¯,∈¯∨qk¯)-fuzzy sets which is a new generalization of fuzzy hyperideals. We study the relation between different $$(\\overline{\\in },\\overline{\\in }\\vee \\overline{q_{k}})$$(∈¯,∈¯∨qk¯) -fuzzy hyperideals in regular ordered LA-semihypergroups. Finally the upper parts of the $$(\\overline{\\in },\\overline{\\in }\\vee \\overline{q_{k}})$$(∈¯,∈¯∨qk¯)-fuzzy LA-subsemihypergroup (resp., left hyperideal, right hyperideal, hyperideal, interior hyperideal, bi-hyperideal) is defined and some related results are provided.