广义剩余蕴涵

发布时间：2018-05-12 20:05

  本文选题：模糊蕴涵 + 聚合算子　； 参考：《模糊系统与数学》2017年04期

【摘要】：本文基于一般的聚合算子,提出一类新的模糊蕴涵,称之为广义剩余蕴涵.广义剩余蕴涵是模糊逻辑中十分重要的剩余蕴涵的自然推广.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.这些结果在模糊逻辑与模糊决策之间建立了新的联系.
[Abstract]:In this paper, based on the general aggregation operator, a new kind of fuzzy implication is proposed, which is called generalized residual implication. Generalized residual implication is a natural generalization of the very important residual implication in fuzzy logic. We further discuss the basic properties of this kind of implication, and explore the relationship between generalized residual implication and the implication generated by fuzzy combination, and prove that the two kinds of implication are different implication. These results establish a new relationship between fuzzy logic and fuzzy decision-making.
【作者单位】： 浙江理工大学理学院;
【基金】：国家自然科学基金(11171308、61379018、61472471、51305400)
【分类号】：O159
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本文编号：1879969