This paper is divided into two parts. In the present Part I, our main objective is to analyse Mamdani-type fuzzy control systems in logical terms, with special emphasis on the fuzzy inference process. To that end, we provide our own inference procedure, cast in the language of standard many-valued logics. We give an ample discussion of the logical meaning of our procedure. We eventually show how to fully recover Mamdani-type fuzzy inference from the latter. In this sense, then, our proposal may be regarded as a logical interpretation of Mamdani-type fuzzy inference. In Part II of this paper, we report on the results of an experiment on the technical analysis of the financial markets based on fuzzy techniques. The core algorithm implements the inference procedure described in this first part of the paper. In Part II, we will argue that the experimental results support the claim that our present theoretical analysis provides a sound interpretation of Mamdani-type fuzzy inference.

A logical analysis of Mamdani-type fuzzy inference, I : theoretical bases / S. Bova, P. Codara, D. Maccari, V. Marra - In: WCCI 2010 : 2010 IEEE international congress on computational intelligence, 2010, july 18-23, Barcelona, SpainPiscataway : IEEE, 2010. - ISBN 9781424469192. - pp. 254-261 (( convegno IEEE International Congress on Computational Intelligence tenutosi a Barcelona, Spain nel 2010 [10.1109/FUZZY.2010.5584830].

A logical analysis of Mamdani-type fuzzy inference, I : theoretical bases

P. Codara
Secondo
;
V. Marra
Ultimo
2010

Abstract

This paper is divided into two parts. In the present Part I, our main objective is to analyse Mamdani-type fuzzy control systems in logical terms, with special emphasis on the fuzzy inference process. To that end, we provide our own inference procedure, cast in the language of standard many-valued logics. We give an ample discussion of the logical meaning of our procedure. We eventually show how to fully recover Mamdani-type fuzzy inference from the latter. In this sense, then, our proposal may be regarded as a logical interpretation of Mamdani-type fuzzy inference. In Part II of this paper, we report on the results of an experiment on the technical analysis of the financial markets based on fuzzy techniques. The core algorithm implements the inference procedure described in this first part of the paper. In Part II, we will argue that the experimental results support the claim that our present theoretical analysis provides a sound interpretation of Mamdani-type fuzzy inference.
Settore INF/01 - Informatica
Settore MAT/01 - Logica Matematica
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/146634
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