کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
391117 | 661345 | 2007 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Additive decomposition of fuzzy pre-orders
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Fuzzy pre-orders (reflexive and min-transitive fuzzy relations) constitute an important class of fuzzy relations. By means of an indifference generator, a fuzzy pre-order can be decomposed additively into two parts: an indifference relation and a strict preference relation. When using a Frank t-norm as indifference generator, we fully characterize the transitivity of these parts. Only in case the minimum operator is used as generator, both parts are min-transitive. The transitivity of the indifference relation is determined by the Frank t-norms, while the transitivity of the strict preference relation is determined by transforms of the nilpotent minimum t-norm.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 158, Issue 8, 16 April 2007, Pages 830-842
Journal: Fuzzy Sets and Systems - Volume 158, Issue 8, 16 April 2007, Pages 830-842