Soft -ideals of soft BCI-algebras |
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| Authors: | Young Bae Jun Kyoung Ja Lee Jianming Zhan |
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| Affiliation: | aDepartment of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Republic of Korea;bDepartment of Mathematics Education, Hannam University, Daejeon 306-791, Republic of Korea;cDepartment of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province 445000, PR China |
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| Abstract: | Molodtsov [D. Molodtsov, Soft set theory–First results, Comput. Math. Appl. 37 (1999) 19–31] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. Jun [Y. B. Jun, Soft BCK/BCI-algebras, Comput. Math. Appl. 56 (2008) 1408–1413] applied first the notion of soft sets by Molodtsov to the theory of BCK/BCI-algebras. In this paper we introduce the notion of soft p-ideals and p-idealistic soft BCI-algebras, and then investigate their basic properties. Using soft sets, we give characterizations of (fuzzy) p-ideals in BCI-algebras. We provide relations between fuzzy p-ideals and p-idealistic soft BCI-algebras. |
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| Keywords: | Soft set (p-idealistic) soft BCI-algebra Soft ideal Soft p-ideal |
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