© Hindawi Publishing Corp. ON FUZZY DOT SUBALGEBRAS OF BCH-ALGEBRAS

Abstract. We introduce the notion of fuzzy dot subalgebras in BCH-algebras, and study its various properties. 2000 Mathematics Subject Classification. 06F35, 03G25, 03E72. 1. Introduction. In [4], Hu and Li introduced the notion of BCH-algebras which are a generalization of BCK/BCI-algebras. In 1965, Zadeh [6] introduced the concept of fuzzy subsets. Since then several researchers have applied this notion to various mathematical disciplines. Jun [5] applied it to BCH-algebras, and he considered the fuzzification of ideals and filters in BCH-algebras. In this paper, we introduce th