新乡学院学报
新鄉學院學報
신향학원학보
Journal of Xinxiang University
2014年
10期
1-4
,共4页
粗集代数%蕴涵格%格蕴涵代数%剩余格%MV-代数
粗集代數%蘊涵格%格蘊涵代數%剩餘格%MV-代數
조집대수%온함격%격온함대수%잉여격%MV-대수
rough set algebra%implication lattice%lattice implication algebra%residual lattice%MV-algebra
在重新定义补运算和构造新蕴涵算子的基础上,证明了偶序对<R,~ R>不仅可以构成蕴涵格、格蕴涵代数、剩余格,而且可构成正则剩余格和 MV‐代数。
在重新定義補運算和構造新蘊涵算子的基礎上,證明瞭偶序對<R,~ R>不僅可以構成蘊涵格、格蘊涵代數、剩餘格,而且可構成正則剩餘格和 MV‐代數。
재중신정의보운산화구조신온함산자적기출상,증명료우서대<R,~ R>불부가이구성온함격、격온함대수、잉여격,이차가구성정칙잉여격화 MV‐대수。
In this article, it was proved that the even‐order<R, ~ R>can not only constitute implication lattice, lattice implication algebra and residual lattice, but regular residual lattice and MV‐algebra based on the redefined fill opera‐tors and implication operators.