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Construction of fuzzy automata by fuzzy experiments

Abstract

The solving the problem of canonical realization of partial reaction morphisms (PRM) for automata in toposes and fuzzy automata is addressed. This problem extends the optimal construction problem for finite deterministic automata by experiments. In the present paper the conception of canonical realization of PRM for automata in toposes is introduced and the sufficient conditions for the existence of canonical realizations for PRM in toposes are presented. As a consequence of this result the existence of canonical realizations for PRM in the category of fuzzy sets over arbitrary complete chain is proven.
Authors:
Mironov, A [1] 
  1. Moscow Univ. (Russian Federation). Dept. of Mathematics and Computer Science
Publication Date:
Dec 31, 1994
Product Type:
Conference
Report Number:
CONF-9409112-
Reference Number:
SCA: 990200; PA: AIX-28:062368; EDB-97:135193; SN: 97001848557
Resource Relation:
Conference: FLINS-1: 1. international workshop on fuzzy logic and intelligent technologies in nuclear science, Mol (Belgium), 14-16 Sep 1994; Other Information: PBD: 1994; Related Information: Is Part Of Fuzzy Logic and Intelligent Technologies in Nuclear Science; Ruan, D.; Dhondt, P.; Govaerts, P. [Centre d`Etude de l`Energie Nucleaire, Mol (Belgium)]; Kerre, E.E. [Ghent University (Belgium)]; PB: 289 p.
Subject:
99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; FUZZY LOGIC; SET THEORY; ARTIFICIAL INTELLIGENCE; DECISION MAKING; EXPERT SYSTEMS; FORECASTING; KNOWLEDGE BASE; MATHEMATICAL MODELS; NEURAL NETWORKS; PROBABILISTIC ESTIMATION; PROBABILITY; RELIABILITY; RISK ASSESSMENT; SAFETY; STATISTICS
OSTI ID:
533270
Research Organizations:
Centre d`Etude de l`Energie Nucleaire, Mol (Belgium); Ghent Rijksuniversiteit (Belgium)
Country of Origin:
Belgium
Language:
English
Other Identifying Numbers:
TRN: BE9700069062368
Availability:
Available from World Scientific Publishing Co. Pte. Ltd., P O Box 128, Farrer Road, Singapore 9128
Submitting Site:
BEN
Size:
pp. 113-116
Announcement Date:

Citation Formats

Mironov, A. Construction of fuzzy automata by fuzzy experiments. Belgium: N. p., 1994. Web.
Mironov, A. Construction of fuzzy automata by fuzzy experiments. Belgium.
Mironov, A. 1994. "Construction of fuzzy automata by fuzzy experiments." Belgium.
@misc{etde_533270,
title = {Construction of fuzzy automata by fuzzy experiments}
author = {Mironov, A}
abstractNote = {The solving the problem of canonical realization of partial reaction morphisms (PRM) for automata in toposes and fuzzy automata is addressed. This problem extends the optimal construction problem for finite deterministic automata by experiments. In the present paper the conception of canonical realization of PRM for automata in toposes is introduced and the sufficient conditions for the existence of canonical realizations for PRM in toposes are presented. As a consequence of this result the existence of canonical realizations for PRM in the category of fuzzy sets over arbitrary complete chain is proven.}
place = {Belgium}
year = {1994}
month = {Dec}
}