An efficient and flexible mechanism for constructing membership functions

被引：53

作者：

Medaglia, AL

Fang, SC ^{[1
]}

Nuttle, HLW

Wilson, JR

机构：

[1] N Carolina State Univ, Coll Engn Operat Res & Ind Engn, Dept Ind Engn, Raleigh, NC 27695 USA

[2] N Carolina State Univ, Coll Engn Operat Res & Ind Engn, Grad Program Operat Res, Raleigh, NC 27695 USA

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2002年 / 139卷 / 01期

关键词：

fuzzy sets; membership functions; Bezier curves; measures of information; fuzzy numbers;

D O I：

10.1016/S0377-2217(01)00157-6

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper introduces a Bezier curve-based mechanism for constructing membership functions of convex normal fuzzy sets. The mechanism can fit any given data set with a minimum level of discrepancy, in the absence of data, the mechanism can be intuitively manipulated by the user to construct membership functions with the desired shape. Some numerical experiments are included to compare the performance of the proposed mechanism with conventional methods. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：84 / 95

页数：12

共 17 条

[1]

[Anonymous], 1997, NEURO FUZZY SOFT COM

[2]

Chameau J. L., 1987, International Journal of Approximate Reasoning, V1, P287, DOI 10.1016/S0888-613X(87)80003-8

[3] CONSTRUCTING MEMBERSHIP FUNCTIONS USING INTERPOLATION AND MEASUREMENT THEORY [J].