Soft -ideals of soft BCI-algebras

✍ Scribed by Young Bae Jun; Kyoung Ja Lee; Jianming Zhan

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 593 KB
• Volume: 58
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2009.07.072

✦ Synopsis

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 (2008Appl. 56 ( ) 1408Appl. 56 ( -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) pideals in BCI-algebras. We provide relations between fuzzy p-ideals and p-idealistic soft BCI-algebras.