Soft p-ideals of soft BCI-algebras

Authors:
Young Bae Jun;Kyoung Ja Lee;Jianming Zhan
Affiliations:
Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Republic of Korea;Department of Mathematics Education, Hannam University, Daejeon 306-791, Republic of Korea;Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province 445000, PR China
Venue:
Computers & Mathematics with Applications
Year:
2009

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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.