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http://dx.doi.org/10.14403/jcms.2010.23.3.511

THE MEAN VALUE AND VARIANCE OF ONE-SIDED FUZZY SETS  

Park, Jin Won (Department of Mathematics Education Jeju National University)
Yun, Yong Sik (Department of Mathematics Jeju National University)
Kang, Kyoung Hun (Department of Mathematics Jeju National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.23, no.3, 2010 , pp. 511-521 More about this Journal
Abstract
In this paper, we define the one-sided fuzzy set and we calculate the mean value and variance, defined by C. Carlsson and R. $Full{\acute{e}}r$, of this fuzzy set. And we obtain a result that, in some special case, the mean of the product of two fuzzy sets is the product of means of each fuzzy sets. This result can be considered as the similar result which is well-known in the independence of events in probability theory.
Keywords
one-sided fuzzy set; mean value; variance;
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  • Reference
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