Ma Xueling, Kim Hee Sik
Department of Mathematics, Hubei Minzu University, Enshi, Hubei 445000, China.
Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Republic of Korea.
ScientificWorldJournal. 2014;2014:461060. doi: 10.1155/2014/461060. Epub 2014 Apr 1.
The purpose of this paper is to give a foundation for providing a new soft algebraic tool in considering many problems containing uncertainties. In order to provide these new soft algebraic structures, we discuss a new soft set-(M, N)-soft intersection set, which is a generalization of soft intersection sets. We introduce the concepts of (M, N)-SI filters of BL-algebras and establish some characterizations. Especially, (M, N)-soft congruences in BL-algebras are concerned.
本文的目的是为在考虑许多包含不确定性的问题时提供一种新的软代数工具奠定基础。为了提供这些新的软代数结构，我们讨论了一种新的软集-(M, N)-软交集，它是软交集的推广。我们引入了BL-代数的(M, N)-SI滤子的概念并建立了一些刻画。特别地，关注了BL-代数中的(M, N)-软同余。
