Elsevier

Fuzzy Sets and Systems

Volume 117, Issue 1, 1 January 2001, Pages 81-93
Fuzzy Sets and Systems

Using fuzzy bases to resolve nonlinear programming problems

https://doi.org/10.1016/S0165-0114(98)00273-5Get rights and content

Abstract

In this paper we introduce the concept of fuzzy bases and its usefulness in solving optimization problems with a nonlinear objective function and linear constraints. We investigate the properties of fuzzy bases and operationalize them in fuzzy interpolation. The NLP can be relaxed into a bilinear program with a simple structure using fuzzy interpolation, irrespective of whether the objective function is convex or not. If the objective function is convex, we prove that the optimization problem can be transformed into an ordinary LP using fuzzy (linear) bases.

References (11)

There are more references available in the full text version of this article.

Cited by (5)

1

On leave from Beijing Normal University, China.

View full text