Interval type-2 fuzzy linear programming: Uncertain constraints

Author

García, Juan Carlos Figueroa

Author_Institution

Lab. for Autom., Microelectron. & Comput. Intell. (LAMIC), Univ. Distrital Francisco Jose de Caldas, Bogotá, Colombia

fYear

2011

fDate

11-15 April 2011

Firstpage

94

Lastpage

101

Abstract

This paper presents some definitions about of Interval Type-2 Fuzzy Constraints regarding Interval Type-2 Fuzzy Linear Programming models (IT2 FLP) such as the Interval Type-2 Fuzzy Feasible Region (IT2 FFR) and the concept of an Interval Type-2 Fuzzy Constraint (IT2 FC). In this proposal, a LP problem with uncertain right hand side parameters treated as Interval Type-2 Fuzzy sets is theoretically defined. As always, a real-valued solution should be found, so two optimization methods which deal with uncertain right hand side parameters are referred.

Keywords

constraint handling; fuzzy control; fuzzy set theory; fuzzy systems; linear programming; interval type-2 fuzzy constraint; interval type-2 fuzzy feasible region; interval type-2 fuzzy linear programming; interval type-2 fuzzy sets; optimization; uncertain constraints; Estimation; Fuzzy sets; Joints; Linear programming; Mathematical model; Optimization; Uncertainty; Linear Programming; Type-2 fuzzy sets; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Advances in Type-2 Fuzzy Logic Systems (T2FUZZ), 2011 IEEE Symposium on

Conference_Location

Paris

Print_ISBN

978-1-61284-077-2

Type

conf

DOI

10.1109/T2FUZZ.2011.5949559

Filename

5949559