Authors
Young Bae Jun, Kyoung Ja Lee, Jianming Zhan
Publication date
2009/11/1
Journal
Computers & Mathematics with Applications
Volume
58
Issue
10
Pages
2060-2068
Publisher
Pergamon
Description
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.
Total citations
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Scholar articles
YB Jun, KJ Lee, J Zhan - Computers & Mathematics with Applications, 2009