On field theory of Λ-standard fuzzy numbers

被引：0
|
作者：
Mattila, JK [1 ]
机构：
[1] Lappeenranta Univ Technol, Inst Appl Math, FIN-53851 Lappeenranta, Finland
来源：
KNOWLEDGE-BASED INTELLIGENT INFORMATION ENGINEERING SYSTEMS & ALLIED TECHNOLOGIES, PTS 1 AND 2 | 2001年 / 69卷
关键词：
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The set of fuzzy Lambda -standard fuzzy numbers are considered. These fuzzy numbers are convex normal fuzzy sets. Addition, subtraction, multiplication and division are defined so that the set of these fuzzy numbers is closed under these operations. The set of fuzzy natural numbers is a subset of the set of these real fuzzy numbers. These fuzzy numbers are unique, especially in concerning with the shape of their membership functions and the length of the support of the numbers. The axioms of field theory are shown to be satisfied for the set of fuzzy Lambda -standard fuzzy numbers.
引用
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页码：695 / 699
页数：5
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