Result: A fuzzy multiobjective linear programming model with fuzzy numbers

Title:
A fuzzy multiobjective linear programming model with fuzzy numbers
Authors:
Liu, Xiaoyun
Publisher Information:
Université Paul Sabatier, Toulouse
Subject Terms:
large scale systems, Applications of mathematical programming, Management decision making, including multiple objectives, Linear programming, min-bounded sum compensatory operator, Sensitivity, stability, parametric optimization, Fuzzy multiobjective programming, Theory of fuzzy sets, etc
Document Type:
Academic journal Article
File Description:
application/xml
Access URL:
https://zbmath.org/3926657
Accession Number:
edsair.c2b0b933574d..3c61106200ea6752c8d0aa17c39fc0e0
Database:
OpenAIRE

Further Information

Summary: Fuzzy multiobjective programming is very useful in many fields, especially in large scale systems with several objectives, such as environmental protection, earthquake prediction, transportation planning, and so on. There are two points at least to solve a fuzzy multiobjective linear programming problem with fuzzy numbers used as the coefficients of the constraints (FMLP). One of them is the method to transform the fuzzy linear system of constraints into a real linear one, the other is the choice of the fuzzy operators. This paper attempts to introduce a new approach based on D. Duboi's works, and to prove the property of the solution obtained from the min-bounded sum compensatory operator. In the end, a FMLP model is applied for planning the air quality in Beijing.