郑州大学学报（理学版）2026，Vol.58Issue(4)：86-94,9.DOI:10.13705/j.issn.1671-6841.2024185
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
Interval Valued(Light)(→s)-Pre-t-Conorms and Its Application in Constructing Interval Valued Monotonic Directional Fuzzy Implications
摘要
Abstract
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.关键词
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Key words
aggregation functions/interval valued direction monotonicity/interval valued(light)(→s)-pret-conorms/(S,N)-interval valued direction monotonic fuzzy implications,QL-interval valued direction monotonic fuzzy operators分类
数理科学引用本文复制引用
于鹏,肖萌..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[J].郑州大学学报（理学版）,2026,58(4):86-94,9.基金项目
国家自然科学基金项目(12171294) （12171294）
