کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4944284 | 1437986 | 2017 | 47 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Constructing shadowed sets and three-way approximations of fuzzy sets
ترجمه فارسی عنوان
ساخت مجموعه های سایه ای و تقریبی سه بعدی مجموعه های فازی
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کلمات کلیدی
اصل کمترین هزینه، اصل حداقل فاصله، اصل بی ثباتی عدم اطمینان، مجموعه های سایه تقریبی سه طرفه، تصمیمات سه گانه،
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
چکیده انگلیسی
Shadowed sets, proposed by Pedrycz, are an example of three-way approximations of fuzzy sets. A fuzzy set is approximated by elevating membership grades at or above one threshold to 1, reducing membership grades at or below another threshold to 0, and mapping membership grades between the two thresholds to the unit interval [0, 1]. A fundamental issue in such a construction process of three-way approximations is the interpretation and determination of a pair of thresholds on the unit interval [0, 1]. In this paper, we adopt a generalized definition of three-valued sets by using a set of three values {n, m, p} to replace {0, [0, 1], 1}. We introduce an optimization-based framework for constructing three-way approximations. Within the framework, we critically review existing studies and results and present new formulations according to three principles, i.e., a principle of uncertainty invariance, a principle of minimum distance, and a principle of least cost. Finally, we propose a least-cost model based on a semantic distance function between membership grades in [0, 1] and values in {n, m, p}.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Information Sciences - Volumes 412â413, October 2017, Pages 132-153
Journal: Information Sciences - Volumes 412â413, October 2017, Pages 132-153
نویسندگان
Yiyu Yao, Shu Wang, Xiaofei Deng,