Soft set theory applied to p-ideals of BCI-algebras related to fuzzy points |
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| Authors: | Young Bae Jun Seok Zun Song Keum Sook So |
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| Affiliation: | (1) Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju, 660-701, Korea;(2) Department of Mathematics (and RIBS), Jeju National University, Jeju, 690-756, Korea;(3) Department of Mathematics, Hallym University, Chuncheon, 200-702, Korea |
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| Abstract: | The notions of $(overline{in}, overline{in} vee overline{hbox{q}})The notions of ([`( ? )],[`( ? )] ú[`q])(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 ([`( ? )],[`( ? )] ú[`q])(overline{in}, overline{in} vee overline{hbox{q}})-fuzzy ideals and ([`( ? )],[`( ? )] ú[`q])(overline{in}, overline{in} vee overline{hbox{q}})-fuzzy p-ideals are investigated. Characterizations of an ([`( ? )],[`( ? )] ú[`q])(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. |
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