Fuzzy solution of interval linear equations

Authors:
Pavel Sevastjanov;Ludmila Dymova
Affiliations:
Institute of Computer and Information Sciences, Technical University of Czestochowa, Czestochowa, Poland;Institute of Computer and Information Sciences, Technical University of Czestochowa, Czestochowa, Poland
Venue:
PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics
Year:
2007

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Abstract

A new concept of interval and fuzzy equations solving based on the generalized procedure of interval extension called "interval extended zero" method is proposed. The central for this approach is the treatment of "interval zero" as an interval centered around 0. It is shown that such proposition is not of heuristic nature, but is a direct consequence of interval subtraction operation. It is shown that the resulting solution of interval linear equations based on the elaborated method may be naturally treated as a fuzzy number. An important advantage of new method is that it substantially decreases the excess width effect.