The notions of starshaped (∈, ∈ ∨ q)-fuzzy sets and quasi-starshaped (∈, ∈ ∨ q)-fuzzy sets are introduced, and related properties are investigated. Characterizations of starshaped (∈, ∈ ∨ q)-fuzzy sets and quasi-starshaped (∈, ∈ ∨ q)-fuzzy sets are discussed.
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