\((\lambda,\mu)\)-fuzzy interior ideals of ordered \(\Gamma\)-semigroups

• Date: 2018
• Main Authors: Feng, Yuming, Corsini, P.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: \(\Gamma\)-semigroup; \((\lambda,\mu)\)-fuzzy interior ideal; \((\lambda,\mu)\)-fuzzy simple; regular ordered \(\Gamma\)-semigroup; intra-regular ordered \(\Gamma\)-semigroup
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/755
• Journal Title: Algebra and Discrete Mathematics

For all \(\lambda,\mu\in [0,1]\) such that \(\lambda<\mu\), we first introduced the definitions of \((\lambda,\mu)\)-fuzzy ideals and \((\lambda,\mu)\)-fuzzy interior ideals of an ordered \(\Gamma\)-semigroup. Then we proved that in regular and in intra-regular ordered semigroups the \((\lamb...