Soft BCK/BCI-algebras

Authors:
Young Bae Jun
Affiliations:
Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, Republic of Korea and RINS, Gyeongsang National University, Chinju 660-701, Republic of Korea
Venue:
Computers & Mathematics with Applications
Year:
2008

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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. In this paper we apply the notion of soft sets by Molodtsov to the theory of BCK/BCI-algebras. The notion of soft BCK/BCI-algebras and soft subalgebras are introduced, and their basic properties are derived.