Hierarchical fuzzy relational models: linguistic interpretation and universal approximation

Campello, R.J.G.B., and Amaral, W.C. (2002) Hierarchical fuzzy relational models: linguistic interpretation and universal approximation. In: IEEE International Conference on Fuzzy Systems. pp. 162-167. From: FUZZ-IEEE 02: International Conference on Fuzzy Systems, 12-17 may 2002, Honolulu, HI, USA.

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Hierarchical fuzzy structures composed of a series of sub-models connected in cascade have been found to be effective tools for dealing with the dimensionality problem in fuzzy systems. This paper addresses both the problems of universal approximation and linguistic interpretation of complex systems using hierarchical fuzzy models. Fuzzy relational equations are used to implement the sub-models of a hierarchical structure which has two very important properties: It is a universal approximator and it can be converted into a completely equivalent non-hierarchical model which in turn allows the extraction of linguistic knowledge in the form of consistent fuzzy IF-THEN rules. These properties are analytically derived and their application is illustrated by means of an example.

Item ID: 47940
Item Type: Conference Item (Presentation)
ISBN: 0-7803-7280-8
Funders: FAPESP, CNPq
Projects and Grants: FAPESP 99/03902-6, CNPq 301345184
Date Deposited: 10 May 2017 00:49
FoR Codes: 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010299 Applied Mathematics not elsewhere classified @ 100%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970101 Expanding Knowledge in the Mathematical Sciences @ 100%
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