کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
389597 661159 2016 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Decomposition approaches to integration without a measure
ترجمه فارسی عنوان
تقسیم رویکرد به یکپارچگی بدون اندازه گیری
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
چکیده انگلیسی

Extending the idea of Even and Lehrer (2014) [3], we discuss a general approach to integration based on a given decomposition system equipped with a weighting function, and a decomposition of the integrated function. We distinguish two type of decompositions: sub-decomposition based integrals (in economics linked with optimization problems to maximize the possible profit) and super-decomposition based integrals (linked with costs minimization). We provide several examples (both theoretical and realistic) to stress that our approach generalizes that of Even and Lehrer (2014) [3] and also covers problems of linear programming and combinatorial optimization. Finally, we introduce some new types of integrals related to optimization tasks.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 287, 15 March 2016, Pages 37–47
نویسندگان
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