• STRUCTURE OF FUZZY SOFT A-IDEAL IN BCI-ALGEBRA

A. SOLAIRAJU*, S. MAHALAKSHMI

Abstract


Molodtsov [1999] 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 [2008] applied first the notion of soft set by Molodtsov to the theory of BCK/BCI-algebra. In this paper, the notion of soft a-ideals and a-idealistic soft     BCI-algebra are introduced, and then investigated their basic properties. Using soft sets, characterizations of (fuzzy)  a-ideals in BCI algebra are given. Relations between fuzzy a-ideals and a-idealistic soft BCI-algebras are provided.


Keywords


Soft set (a-idealistic), soft BCI-algebra, soft ideal, and soft a-ideal.

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