格结构及其对有序模糊数的启示

EUSFLAT Conf. Pub Date : 2011-08-06 DOI:10.2991/eusflat.2011.156

M. Kacprzak, W. Kosinski

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引用次数: 16

摘要

第二作者和他的两位同事在2002年发明的有序模糊数(OFN)使得利用模糊算法构造模糊数的阿贝尔群进而构造有序环成为可能。OFN的定义采用凸模糊数的参数表示的推广。利用代数运算和在OFN上定义的格结构，提出了模糊蕴涵。

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On lattice structure and implications on ordered fuzzy numbers

Ordered fuzzy numbers (OFN) invented by the second author and his two coworkers in 2002 make possible to utilize the fuzzy arithmetic and to construct the Abelian group of fuzzy numbers and then an ordered ring. The definition of OFN uses the extension of the parametric representation of convex fuzzy numbers. Fuzzy implication is proposed with the help of algebraic operations and a lattice structure defined on OFN.

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EUSFLAT Conf.

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