- SOFT BCC-ALGEBRAS
- Jun, Young-Bae ; Lee, Kyoung-Ja ; Ozturk, Mehmet Ali ;
- Journal of applied mathematics & informatics, volume 27, issue 5_6, 2009, Pages 1293~1305
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 BCC-algebras. The notion of (trivial, whole) soft BCC-algebras and soft BCC-subalgebras are introduced, and several examples are provided. Relations between a fuzzy subalgebra and a soft BCC-algebra are given, and the characterization of soft BCC-algebras is established.