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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… Click to show full 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.
Journal Title: Computational and Applied Mathematics
Year Published: 2019
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