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中文摘要：
本文基于一般的聚合算子，提出一类新的模糊蕴涵，称之为广义刺余蕴涵．广义剩余蕴涵是模糊逻辑中十分重要的刺余蕴涵的自然推广．我们进一步讨论这类蕴涵的基本性质，并且探究广义剩余蕴涵与由模糊合取生成的蕴涵之间的关系，并证明这两类蕴涵为不同的蕴涵．这些结果雀模糊逻辑与模糊决策之间建立了新的联系．
英文摘要：
In this paper, based on the general aggregation operator, a new kind of fuzzy implications, called generalizedresidual implications is proposed, which is a new generalization of the common used residual implications of fuzzylogic. Basic properties of this kind of implications are discussed. Also, the relationship between the generalized residua limplications and the implications obtained through fuzzy conjunctions are explored. It is proved that the two kinds of implications are different. These results establish a new connection between fuzzy logic and fuzzy decision making.
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