Results 261 to 270 of about 3,363 (306)

Fuzzy morphology and fuzzy convexity measures

Proceedings of 13th International Conference on Pattern Recognition, 1996
This study results in a very general class of approximate convex measures for objects on grey-tone images. These measures are referred to as convexity indicators. They are based on fuzzy set theory, more precisely, on the fuzzy inclusion indicators defined by Sinha and Dougherty (1993). Consideration is given to the fuzzy morphological operations which
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Invariance of fuzzy measure

Bulletin of the Kyushu Institute of Technology. Pure and applied mathematics, 1999
Let \({\mathcal B}\) be a \(\sigma\)-algebra on \(X\). An increasing function \(\mu:{\mathcal B}\to [0,1]\) with \(\mu(\emptyset)= 0\) and \(\mu(X)= 1\) is called a fuzzy measure. The authors study the question when for two fuzzy measures \(\mu\) and \(\nu\) on \({\mathcal B}\) there is an increasing function \(f: [0,1]\to [0,1]\) such that \(\nu= \mu ...
Honda, Aoi, Okazaki, Yoshiaki
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Fuzzy rationality measures

Fuzzy Sets and Systems, 1994
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CUTELLO, Vincenzo, MONTERO J.
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On Viewing Fuzzy Measures as Fuzzy Subsets

IEEE Transactions on Fuzzy Systems, 2016
We introduce the concept of a fuzzy measure, discuss some of their basic properties and look at some notable examples. We introduce a correspondence between a fuzzy measure on X and a fuzzy subset over the power set of X. These fuzzy subsets are required to have special properties on the space 2X and we refer to these as measure type fuzzy sets.
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Fuzzy measures and integrals

Fuzzy Sets and Systems, 2005
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Fuzzy Measures and Measures of Fuzziness

1985
In order to prevent confusion about fuzzy measures and measures of fuzziness, we shall first briefly describe the meaning and features of fuzzy measures. In the early 1970s, Sugeno defined a fuzzy measure as follows [Sugeno 1977]: 𝓑 is a Borel field of the arbitrary set (universe) X.
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Supports of a fuzzy measure

Bulletin of the Kyushu Institute of Technology. Pure and applied mathematics, 2001
By a fuzzy measure any monotone function \(g: B\to [0,1]\) (defined on the \(\sigma\)-algebra \(B\) of all Borel subsets of a completely regular Hausdorff topological space) is understood. Various definitions of supports of \(g\) are presented and some relations among them are explained.
Honda, Aoi, Okazaki, Yoshiaki
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Fuzzy similarity measures and measurement theory

2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2019
We consider objects associated with a fuzzy set-based representation. By using a classic method of measurement introduced by Tversky, we establish necessary and sufficient conditions for the existence of a particular class of fuzzy similarity measures, agreeing with an ordering relation among pairs of objects which express the idea that two objects are
Coletti, Giulianella, Bouchon-Meunier, Bernadette   +1 more
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Fuzzy-valued fuzzy measures and generalized fuzzy integrals

Fuzzy Sets and Systems, 1998
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Caimei Guo, Deli Zhang, Congxin Wu
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Fuzzy confirmation measures

Fuzzy Sets and Systems, 2008
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