Starshaped (∈, ∈ ∨ q)-fuzzy sets

Article type: Research Article

Authors: Jun, Young Bae^a | Song, Seok Zun^{b; *}

Affiliations: [a] Department of Mathematics Education (and RINS), Gyeongsang National University, Jinju, Korea | [b] Department of Mathematics, Jeju National University, Jeju, Korea

Correspondence: [*] Corresponding author. Seok Zun Song, Department of Mathematics, Jeju National University, Jeju 690-756, Korea. Tel.: +82 64 7543562; Fax: +82 64 7252573; E-mail: [email protected].

Abstract: 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.

Keywords: Starshaped (∈, ∈  ∨ q)-fuzzy set, quasi-starshaped (∈, ∈  ∨ q)-fuzzy set

DOI: 10.3233/IFS-162190

Journal: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 3, pp. 1257-1262, 2016