Membership-Balanced Principle and ITS Application on Fuzzy Linear Programming

Author

Li, Fa-chao ; Zhang, Zhi-jun

Author_Institution

Coll. of Econ. & Manage., Hebei Univ. of Sci. & Technol., Shijiazhuang

fYear

2006

fDate

13-16 Aug. 2006

Firstpage

1652

Lastpage

1657

Abstract

Propose a principle, membership-balanced principle, to standardize the form of fuzzy information. Based on its structure characteristics, any fuzzy number can be standardized to a triangular one with the aid of a membership-balanced operator. After analyzing the operational properties of a membership-balanced operator for triangularization, a model to solve a system of fuzzy linear equations is given, its effectiveness and usefulness are discussed with an example. All of these help to develop useful techniques to process synthesizedly fuzzy information

Keywords

fuzzy set theory; linear programming; fuzzy linear equation; fuzzy linear programming; membership-balanced principle; triangular fuzzy number; Artificial intelligence; Conference management; Cybernetics; Educational institutions; Equations; Fuzzy control; Fuzzy reasoning; Fuzzy sets; Fuzzy systems; Linear programming; Machine learning; Shape; Technology management; Fuzzy number; Membership-balanced operator; Membership-balanced principle; System of fuzzy linear equations; Triangular fuzzy number;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2006 International Conference on

Conference_Location

Dalian, China

Print_ISBN

1-4244-0061-9

Type

conf

DOI

10.1109/ICMLC.2006.258901

Filename

4028330