کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
397875 1438444 2015 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Integral representation of belief measures on compact spaces
ترجمه فارسی عنوان
ارائه یکپارچه ای از باورهای عاطفی در فضاهای جمع و جور
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
چکیده انگلیسی

An integral representation theorem for outer continuous and inner regular belief measures on compact topological spaces is elaborated under the condition that compact sets are countable intersections of open sets (e.g. metric compact spaces). Extreme points of this set of belief measures are identified with unanimity games with compact support. Then, the Choquet integral of a real valued continuous function can be expressed as a minimum of means over the sigma-core and also as a mean of minima over the compact subsets. Similarly, for bounded measurable functions, the Choquet integral is expressed as min of means over the core, we prove in addition that it is a mean of infima over the compact subsets. Then, we obtain Choquet–Revuz' measure representation theorem and introduce the Möbius transform of a belief measure. An extension to locally compact and sigma-compact topological spaces is provided.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Approximate Reasoning - Volume 60, May 2015, Pages 37–56
نویسندگان
,