Vague集上基于蕴含算子I(,■)的三I算法

The Triple I Algorithm for the Implication I(,■) Operator Based on Vague Sets

给出区间集上蕴含算子的定义和一个蕴含算子。利用三I思想,给出了Vague集上基于蕴含算子I(x,y)的三IVMP算法的计算公式,分析了三IVMP算法的还原性,并给出了基于区间集上蕴含算子I(x,y)的三IVMP算法具有还原性的本质条件.由于Vague集具有表达不确定性知识比Fuzzy集更为丰富的特点,三I思想更为可信,故在不确定性的推理中,三IVMP算法是较为令人满意的算法。

The definition of the implication operator of the interval set and a concrete implication operator are given. The calculation formulas of the triple IVMP algorithm for the implication I(x,y) operator based on Vague sets are obtained. The reversible properties of the triple IVMP algorithm are analyzed, and the essential conditions of the reversible properties of the triple IVMP algorithm for implication I(x,y) operator based on Vague sets are obtained. Because the Vague set is better than the Fuzzy set in expressing the uncertain knowledge, the triple I thinking is more believable and the triple IVMP algorithm is more satisfying in the uncertain reasoning.