"Mamdani Approach to Fuzzy Control, Logical Approach, What Else?" by Samuel Bravo and Jaime Nava

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Departmental Technical Reports (CS)

Title

Mamdani Approach to Fuzzy Control, Logical Approach, What Else?

Authors

Samuel Bravo, University of Texas at El PasoFollow
Jaime Nava, University of Texas at El PasoFollow

Publication Date

12-2010

Comments

Technical Report: UTEP-CS-10-30a

Published in Proceedings of the 30th Annual Conference of the North American Fuzzy Information Processing Society NAFIPS'2011, El Paso, Texas, March 18-20, 2011.

Abstract

In fuzzy control, two approaches are mainly used: Mamdani's approach, in which we represent the knowledge base as a disjunction of statements Ai(x) & Bi(u) corresponding to individual rules, and logical approach, in which the knowledge base is represented as a conjunction of the rules themselves Ai(x) --> Bi(u). Both approaches are known not to be perfect, so a natural question arises: what other approaches are possible? In this paper, we describe all possible approaches; alternative approaches use an "exclusive or" operation and correspond, e.g., to the fuzzy transform idea.

tr10-30.pdf (80 kB)
Original file: CS-UTEP-10-30

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