کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4949570 | 1440194 | 2017 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Enumerating and categorizing positive Boolean functions separable by a k-additive capacity
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
Motivated by the elicitation or the learning of certain types of models for classifying objects in ordered categories based on several criteria, we categorize the positive Boolean functions up to 6 variables. We list all inequivalent positive Boolean functions and we determine the smallest degree k of the k-additive capacity that can be used for separating their true points from their false points. 1-additive Boolean functions are the well-studied threshold functions. Each function is described by its set of minimal true points. The latter correspond to the minimal winning coalitions of simple games. They also correspond to the minimal sufficient coalitions in the multiple criteria classification models we are interested in, namely, the MR-Sort and the noncompensatory sorting model.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Applied Mathematics - Volume 229, 1 October 2017, Pages 17-30
Journal: Discrete Applied Mathematics - Volume 229, 1 October 2017, Pages 17-30
نویسندگان
Eda Uyanık, Olivier Sobrie, Vincent Mousseau, Marc Pirlot,