On sequences of fuzzy sets and fuzzy set-valued mappings

被引：0
|
作者：
Masamichi Kon
Hiroaki Kuwano
机构：
[1] Hirosaki University,Graduate School of Science and Technology
[2] Kanazawa Gakuin University,Faculty of Business Administration and Information Science
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
sequence of fuzzy sets; fuzzy set-valued mapping; fuzzy set-valued analysis;
D O I：
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学科分类号：
摘要：
Based on level sets of fuzzy sets, we propose definitions of limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings. Then, their properties are derived. Limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings are fuzzified ones of them for crisp sets, where ‘crisp’ means ‘non-fuzzy’.
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