拟J-clean环

Quasi-J-clean rings

通过拟幂等元引进拟J-clean环的概念,给出拟J-clean环的若干例子,讨论了它们的基本性质。证明了:(1)若R是拟J-clean环,则全矩阵环Mn(R)是拟J-clean环;(2)一个环R是UJ-环,当且仅当R中的拟clean元都是拟J-clean元;(3)设R是一个交换环,则R是拟J-clean环的充分必要条件是若I是R的包含于J(R)的理想且使得R/I是不可分解环,则R/I=J(R/I)∪U(R/I)。

To measure differences in probabilistic q-rung hesitant fuzzy information,a novel measure of the probabilistic q-rung hesitant fuzzy distance is proposed based on the score function and overall hesitancy.The properties of this measure are discussed.A probabilistic q-rung hesitant fuzzy TODIM method is proposed based on the new distance measure.Finally,a practical example is presented to illustrate the reasonableness and effectiveness of the proposed method,and a sensitivity analysis is performed.