基于带有三种否定的模糊集FScom的模糊综合评判

J4 ›› 2011, Vol. 33 ›› Issue (9): 136-140.

基于带有三种否定的模糊集FScom的模糊综合评判

杨〓磊，潘正华

（江南大学理学院，江苏无锡 214122）

收稿日期:2011-05-20 修回日期:2011-07-26 出版日期:2011-09-25 发布日期:2011-09-25
作者简介:杨磊(1988),男,四川南充人，硕士生，研究方向为非经典逻辑理论及其推理应用。
基金资助:
国家自然科学基金资助项目（60973156）;江南大学创新研究团队计划资助项目

Fuzzy Comprehensive Evaluation Based on the Fuzzy Set FScom with Three Kinds of Negations

YANG Lei，PAN Zhenghua

（School of Science,Jiangnan University,Wuxi 214122,China）

Received:2011-05-20 Revised:2011-07-26 Online:2011-09-25 Published:2011-09-25

摘要/Abstract

摘要：

FScom集是一种带有三种否定关系：矛盾否定关系、对立否定关系和中介否定关系的模糊集。本文在FScom中提出λ中介否定概念，定义了λ区间函数，使得传统模糊集的最大隶属度原则能适用于FScom集，并由此给出一种基于FScom的模糊综合评判方法以及在灾害损失等级划分实例中的应用。

关键词: 模糊集FScom, &lambda, 中介否定, &lambda, 区间函数, 模糊综合评判

Abstract:

Fuzzy set FScom has three kinds of negative relations, which are contradictory negative relation, opposite negative relation and medium negative relation. This paper puts forward the concept of λmedium negation, and defines the λinterval function to make the maximum membership degree principle of the traditional fuzzy set be applied in the fuzzy set FScom, and also gives the fuzzy comprehensive evaluation of the fuzzy set FScom and its application in disaster loss grade assessment.

Key words: fuzzy set FScom;λmedium negation;λinterval function;fuzzy comprehensive evaluation

杨〓磊，潘正华. 基于带有三种否定的模糊集FScom的模糊综合评判[J]. J4, 2011, 33(9): 136-140.

YANG Lei，PAN Zhenghua. Fuzzy Comprehensive Evaluation Based on the Fuzzy Set FScom with Three Kinds of Negations[J]. J4, 2011, 33(9): 136-140.