Uncertainty measure on fuzzy partitions
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Cited by (10)
Fuzzy information entropy-based adaptive approach for hybrid feature outlier detection
2021, Fuzzy Sets and SystemsCitation Excerpt :Based on fuzzy partition, Mesiar introduced a generalized fuzzy information entropy model [37]. Bertoluzza further discussed the uncertainty of the fuzzy partition [38]. Mi et al. put forward uncertainty measurement based on partition by using fuzzy rough theory [39].
Uncertainty measures for general fuzzy relations
2019, Fuzzy Sets and SystemsCitation Excerpt :Information entropy, proposed by Shannon, is an effective and powerful mechanism for characterizing uncertainty information. In recent years, it has been applied in a wide range of fields [1,2,10–12,23,24]. Since Duntch and Gediga introduced information entropy into rough set theory and proposed three types of conditional entropies for predicting a decision attribute [8].
On local entropy of fuzzy partitions
2014, Fuzzy Sets and SystemsThe information content of fuzzy relations and fuzzy rules
2009, Computers and Mathematics with ApplicationsCitation Excerpt :One domain or multiple-domain: similarity and equivalence relations are all defined on a single domain, while general relations are constructed on two or more different domains. In the past literature related to fuzzy relations [1–9], most of them emphasized entropy, and put forward measures of fuzzy relations defined on a single domain with probability distribution preassigned. But the measurement of information content of fuzzy relations defined on multiple-domains without preassigned probability distribution is needed.
Uncertainty measures for fuzzy relations and their applications
2007, Applied Soft Computing Journal