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

Original Article

DOI: 10.1007/s00521-010-0460-y

Cite this article as:
Jun, Y.B., Song, S.Z. & So, K.S. Neural Comput & Applic (2011) 20: 1313. doi:10.1007/s00521-010-0460-y

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 

Copyright information

© Springer-Verlag London Limited 2010

Authors and Affiliations

  1. 1.Department of Mathematics Education (and RINS)Gyeongsang National UniversityChinjuKorea
  2. 2.Department of Mathematics (and RIBS)Jeju National UniversityJejuKorea
  3. 3.Department of MathematicsHallym UniversityChuncheonKorea

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