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
Reliable Computing – Springer Journals
Published: Oct 13, 2004
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