کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
395432 665979 2010 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Characterizing isometries on the order polytope with an application to the theory of fuzzy measures
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Characterizing isometries on the order polytope with an application to the theory of fuzzy measures
چکیده انگلیسی

In this paper we study the group of isometries over the order polytope of a poset. We provide a result that characterizes any isometry based on the order structure in the original poset. From this result we provide upper bounds for the number of isometries over the order polytope in terms of its number of connected components. Finally, as an example of application, we recover the set of isometries for the polytope of fuzzy measures and the polytope of p-symmetric measures when the indifference partition is fixed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Information Sciences - Volume 180, Issue 3, 1 February 2010, Pages 384–398
نویسندگان
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