Abstract
In 1976, H.-J. Zimmermann first introduced fuzzy set theory into conventional linear programming problems. He considered linear programming problems with a fuzzy goal and fuzzy constraints. Following the fuzzy decision proposed by Bellman and Zadeh (1970) together with linear membership functions, he proved that there exists an equivalent linear programming problem. Since then, fuzzy linear programming has been developed in a number of directions with many successful applications. Nowadays, fuzzy programming is considered an important area of multiobjective optimization under fuzziness.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media New York
About this chapter
Cite this chapter
Sakawa, M. (1993). Fuzzy Linear Programming. In: Fuzzy Sets and Interactive Multiobjective Optimization. Applied Information Technology. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1633-4_3
Download citation
DOI: https://doi.org/10.1007/978-1-4899-1633-4_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-1635-8
Online ISBN: 978-1-4899-1633-4
eBook Packages: Springer Book Archive