A weight space-based approach to fuzzy multiple-objective linear programming

Authors:
Ana Rosa Borges;Carlos Henggeler Antunes
Affiliations:
ISEC-Coimbra Polytechnic Institute, Apartado 10057, Quinta da Nora, 3030-601 Coimbra, Portugal and Department of Electrical Engineering, University of Coimbra, Polo II, 3030-030 Coimbra, Portugal;Department of Electrical Engineering, University of Coimbra, Polo II, 3030-030 Coimbra, Portugal and INESC-Rua Antero de Quental 199, 3000-033 Coimbra, Portugal
Venue:
Decision Support Systems
Year:
2003

Citing 5
Cited 1

A parametric approach to fuzzy linear programming

Fuzzy Sets and Systems
Fuzzy sets, decision making and expert systems

Fuzzy sets, decision making and expert systems
An interactive fuzzy programming system

Fuzzy Sets and Systems
Fuzzy multiple objective programming and compromise programming with Pareto optimum

Fuzzy Sets and Systems
Fuzzy set theory—and its applications (3rd ed.)

Fuzzy set theory—and its applications (3rd ed.)

A review and classification of fuzzy mathematical programs

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, the effects of uncertainty on multiple-objective linear programming models are studied using the concepts of fuzzy set theory. The proposed interactive decision support system is based on the interactive exploration of the weight space. The comparative analysis of indifference regions on the various weight spaces (which vary according to intervals of values of the satisfaction degree of objective functions and constraints) enables to study the stability and evolution of the basis that correspond to the calculated efficient solutions with changes of some model parameters.