Characterizations of hemirings by $$(\overline{\varvec{\in}},\overline{\varvec{\in}} \vee \overline{\varvec{q}})$$ -fuzzy ideals

In this paper, we study the hyperideals of ordered LA-semihypergroups in terms of (∈, ∈∨q k)fuzzy sets which is a new generalization of fuzzy hyperideals. We study the relation between different (∈, ∈ ∨ q k)-fuzzy hyperideals in regular ordered LA-semihypergroups. Finally the upper parts of the (∈, ∈ ∨ q k)-fuzzy LA-subsemihypergroup (resp., left hyperideal, right hyperideal, hyperideal, interior hyperideal, bi-hyperideal) is defined and some related results are provided. Keywords Ordered LA-semihypergroups • Fuzzy hyperideals • (∈, ∈ ∨ q k)-Fuzzy hyperideals Mathematics Subject Classification 20N20 1 Introduction Hyperstructure theory was given by a French mathematician Marty (1934). Since then, several authors continued their researches in this direction. Some basic definitions and theorems about Communicated by Marcos Eduardo Valle.

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Some properties of (α, β)-fuzzy positive implicative ideals in BCK-algebras

Zulfiqar

2013

Acta Sci. Technol.

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Characterizations of hemirings by $$(\overline{\varvec{\in}},\overline{\varvec{\in}} \vee \overline{\varvec{q}})$$ -fuzzy ideals

Cited by 3 publications

References 24 publications

On interval-valued $$(\in_{\gamma },\in _{\gamma }\vee q_{\delta })$$ -fuzzy k-ideals in hemirings

On interval-valued $$(\in_{\gamma },\in _{\gamma }\vee q_{\delta })$$ -fuzzy k-ideals in hemirings

On generalized fuzzy hyperideals in ordered LA-semihypergroups

Some properties of (α, β)-fuzzy positive implicative ideals in BCK-algebras

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