Original Article

Neural Computing and Applications

, Volume 20, Issue 8, pp 1313-1320

Soft set theory applied to p-ideals of BCI-algebras related to fuzzy points

  • Young Bae JunAffiliated withDepartment of Mathematics Education (and RINS), Gyeongsang National University
  • , Seok Zun SongAffiliated withDepartment of Mathematics (and RIBS), Jeju National University Email author 
  • , Keum Sook SoAffiliated withDepartment of Mathematics, Hallym University

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Abstract

The notions of \((\overline{\in}, \overline{\in} \vee \overline{\hbox{q}})\)-fuzzy p-ideals and fuzzy p-ideals with thresholds related to soft set theory are discussed. Relations between \((\overline{\in}, \overline{\in} \vee \overline{\hbox{q}})\)-fuzzy ideals and \((\overline{\in}, \overline{\in} \vee \overline{\hbox{q}})\)-fuzzy p-ideals are investigated. Characterizations of an \((\overline{\in}, \overline{\in} \vee \overline{\hbox{q}})\)-fuzzy p-ideal and a fuzzy p-ideal with thresholds are displayed. Implication-based fuzzy p-ideals are discussed.

Keywords

Soft BCK/BCI-algebra p-Ideal p-Idealistic soft BCI-algerba \((\overline{\in}, \overline{\in} \vee \overline{\hbox{q}})\)-fuzzy p ideal Fuzzy p-ideal with thresholds Fuzzifying p ideal t-Implication-based fuzzy p-ideal