Reliable Computing: Special Issue on the Linkages between Interval Mathematics and Fuzzy Set Theory

Reliable Computing: Special Issue on the Linkages between Interval Mathematics and Fuzzy Set Theory Reliable Computing: Special Issue on the Linkages Between Interval Mathematics and Fuzzy Set Theory GUEST EDITOR: WELDON A. LODWICK Reliable Computing will devote a special issue to papers that address the inter- relationship between interval mathematics and fuzzy set theory. The connection between interval mathematics and fuzzy set theory is evident in the extension prin- ciple, arithmetic, logic, and in the mathematics of uncertainty. Much of the research to date has been in the use of interval mathematics in fuzzy set theory, in particular fuzzy arithmetic and fuzzy interval analysis. This may be because intervals can be considered as a particular type of fuzzy set. The impact of fuzzy set theory on interval mathematics is not quite as evident. For example, it is clear that fuzzy logic, fuzzy control, fuzzy neural networks, and fuzzy cluster analysis, are four important areas of fuzzy set theory. The impact of interval analysis on these four areas is not as apparent. Can the development in these areas of fuzzy set theory inform research in interval mathematics? There are areas of interval mathematics and fuzzy set theory that have developed in parallel with little or no interchange of ideas. In particular the extension principle http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

Reliable Computing: Special Issue on the Linkages between Interval Mathematics and Fuzzy Set Theory

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2002 by Kluwer Academic Publishers
Subject
Mathematics; Numeric Computing; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Mathematical Modeling and Industrial Mathematics
ISSN
1385-3139
eISSN
1573-1340
D.O.I.
10.1023/A:1014793820388
Publisher site
See Article on Publisher Site

Abstract

Reliable Computing: Special Issue on the Linkages Between Interval Mathematics and Fuzzy Set Theory GUEST EDITOR: WELDON A. LODWICK Reliable Computing will devote a special issue to papers that address the inter- relationship between interval mathematics and fuzzy set theory. The connection between interval mathematics and fuzzy set theory is evident in the extension prin- ciple, arithmetic, logic, and in the mathematics of uncertainty. Much of the research to date has been in the use of interval mathematics in fuzzy set theory, in particular fuzzy arithmetic and fuzzy interval analysis. This may be because intervals can be considered as a particular type of fuzzy set. The impact of fuzzy set theory on interval mathematics is not quite as evident. For example, it is clear that fuzzy logic, fuzzy control, fuzzy neural networks, and fuzzy cluster analysis, are four important areas of fuzzy set theory. The impact of interval analysis on these four areas is not as apparent. Can the development in these areas of fuzzy set theory inform research in interval mathematics? There are areas of interval mathematics and fuzzy set theory that have developed in parallel with little or no interchange of ideas. In particular the extension principle

Journal

Reliable ComputingSpringer Journals

Published: Oct 13, 2004

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