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- Title
MONOTONIC FUZZY SYSTEMS AS UNIVERSAL APPROXIMATORS FOR MONOTONIC FUNCTIONS.
- Authors
JINWOOK KIM; JIN-MYUNG WON; KYUNGMO KOO; LEE, JIN S.
- Abstract
In this paper, we propose a constructive method to develop a fuzzy system having a monotonic input-output relationship and prove that the developed fuzzy system can approximate any continuously differentiable monotonic function with any desired degree of accuracy. The fuzzy system is constructed with complete and consistent input membership functions and imposes special parametric constraints on the consequent part of the fuzzy rules. The monotonicity property and approximation capability of the developed fuzzy system are demonstrated using numerical examples.
- Subjects
FUZZY systems; MONOTONIC functions; APPROXIMATION algorithms; SYSTEM analysis; CONSTRAINT algorithms
- Publication
Intelligent Automation & Soft Computing, 2012, Vol 18, Issue 1, p13
- ISSN
1079-8587
- Publication type
Article
- DOI
10.1080/10798587.2012.10643224