区间值(light)(→s)-预-t-余模及其在构造区间值方向单调模糊蕴涵中的应用OA
Interval Valued(Light)(→s)-Pre-t-Conorms and Its Application in Constructing Interval Valued Monotonic Directional Fuzzy Implications
在聚合函数的研究中,由于存在不满足单调性约束的聚合场景,弱化了聚合函数的单调性,生成具有方向单调的聚合函数成为聚合函数研究中的一个重要内容.首先,将区间值(light)-t-余模的区间单调性扩展到区间值方向单调,给出了区间值(light)(→s)-预-t-余模的概念.其次,研究了区间值(light)(→s)-预-t-余模的性质,并给出了一些构造区间值(light)(→s)-预-t-余模的方法.最后,基于区间值(light)(→s)-预-t-余模、区间值模糊否定,给出了(S,N)-区间值方向单调模糊蕴涵,以及 QL-区间值方向单调算子的定义,并对其性质进行了研究.
In the study of aggregation functions,due to the existence of aggregation scenarios that do not satisfy monotonicity constraints,the monotonicity of aggregation functions was weaken,and generating ag-gregation functions with directional monotonicity was an important research focus.The interval valued monotonicity of light t-conorms to interval valued direction monotonicity was extended,and the concept of(light)(→s)-pre-t-conorms was introduced.Moreover,several properties of interval valued(light)(→s)-pre-t-conorms were analyzed and some methods for constructing interval valued(light)(→s)-pre-t-conorms were proposed.Based on the(light)(→s)-pre-t-conorms and interval valued fuzzy negations,the notions of(S,N)-interval valued direction monotonic fuzzy implications and QL-interval valued direction monotonic fuzzy operators were proposed,and their properties were thoroughly analyzed.
于鹏;肖萌
陕西科技大学 数学与数据科学学院 陕西 西安 710021陕西科技大学 数学与数据科学学院 陕西 西安 710021
数理科学
聚合函数区间值方向单调区间值(light)(→s)-预-t-余模(S,N)-区间值方向单调模糊蕴涵QL-区间值方向单调模糊算子
aggregation functionsinterval valued direction monotonicityinterval valued(light)(→s)-pret-conorms(S,N)-interval valued direction monotonic fuzzy implications,QL-interval valued direction monotonic fuzzy operators
《郑州大学学报（理学版）》 2026 (4)
86-94,9
国家自然科学基金项目(12171294)
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