Abstract

By using the concept of quasi-coincidence of interval valued fuzzy set, the notion of interval valued fuzzy hyperideal of hyperlattices is introduced. Also some related properties are studied. In particular, the interval valued ( α,β ) – fuzzy hyperideals in a hyperlattice will be investigated. Finally, the concept of implication-based interval valued (∈,∈⊔q) – fuzzy hyperideal and its basic properties in logical view is considered.

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