عنوان انگلیسی مقاله:
On distributive laws between 2-uninorms and overlap (grouping) functions
ترجمه فارسی عنوان مقاله:
قوانین توزیع بین توابع 2-ناخوشایند و همپوشانی (گروه بندی)
Sciencedirect - Elsevier - International Journal of Approximate Reasoning, 119 (2020) 353–372: 10:1016/j:ijar:2020:01:008
Since Aczél studied the distributive law between two operations, the distributive laws among different binary aggregation functions become an interesting and vast research field. This paper is mainly devoted to solving the distributivity equations between 2-uninorms and overlap(grouping) functions, which are two classes of special aggregation functions found to possess wide applications in image processing, decision making, classification and fuzzy detection problems. We obtain the sufficient and necessary conditions of the distributivity equations between five classes of basic 2-uninorms and overlap(grouping) functions.
Keywords: Uninorms | 2-Uninorms | Distributivity equation | Overlap function | Grouping function