کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
389210 | 661112 | 2016 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On pseudo-metric spaces induced by σ-⊥-decomposable measures
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we study the relationship between the pseudo-metric and σ-decomposable measures with respect to a triangular conorm (σ-⊥-decomposable measures, for short). We first construct a pseudo-metric on the measurable sets of a given σ-⊥-decomposable measure, and then discuss several properties such as completeness and continuity of the constructed pseudo-metric space. Finally, we show that the μ-separability and nonatom of the σ-⊥-decomposable measure can be characterized in the constructed pseudo-metric space. Our results suggest that the standard approach for obtaining a metric from a given probability measure can be generalized to the setting of σ-⊥-decomposable measure.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 289, 15 April 2016, Pages 33–42
Journal: Fuzzy Sets and Systems - Volume 289, 15 April 2016, Pages 33–42
نویسندگان
Jialiang Xie, Qingguo Li, Shuili Chen, You Gao,