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Aug, 2022
模糊数的格上推广与扎德扩展原理
Lattice Generalizations of the Concept of Fuzzy Numbers and Zadeh's Extension Principle
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Dmitry Maximov
TL;DR
本文将模糊数的概念推广到拥有部分有序元素的有限载体集合，即格，当成员函数也取值于部分有序集（格）时。并对 Zadeh 的模糊数成员度量的推广进行了修正，提出了均值的类比概念，并探讨了在专家评估比较中使用部分有序值在认知图中的应用。
Abstract
The concept of a
fuzzy number
is generalized to the case of a finite carrier set of partially ordered elements, more precisely, a
lattice
, when a membership function also takes values in a
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