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Fuzzy morphology and fuzzy convexity measures
Proceedings of 13th International Conference on Pattern Recognition, 1996This 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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Fuzzy integrals and conditional fuzzy measures
Fuzzy Sets and Systems, 1983We introduce a fuzzy integral for fuzzy events with respect to @l-additive fuzzy measures. This integral is the canonical generalization of the Lehesgue integral. A Radon-Nikodym-like theorem is used to give the definition of the conditional fuzziness.
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On the Fuzzy Measures and the Measures of Fuzziness for L-Fuzzy Sets
IFAC Proceedings Volumes, 1983Abstract This paper is based on the results of De Luca and Termini [1.2] and Wang (6,7,8). It includes the following three parts, (l) We extend the fuzzy integrals taking value in the unit inteval (0,1) to a fuzzy integrals taking value in a lattice.
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2019
This chapter is a key contribution of this work in which various computational approaches to learning fuzzy measures are described. The learning problem is framed from the perspective of data fitting, where we aim to define a model that interpolates or approximates a set of observed or user-specified instances.
Gleb Beliakov +2 more
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This chapter is a key contribution of this work in which various computational approaches to learning fuzzy measures are described. The learning problem is framed from the perspective of data fitting, where we aim to define a model that interpolates or approximates a set of observed or user-specified instances.
Gleb Beliakov +2 more
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2016
Dispersion measures are very useful tools to measure the variability of data. Under uncertainty, the fuzzy set theory can be used to capture the vagueness in the data. This chapter develops the fuzzy versions of classical dispersion measures namely, standard deviation and variance, mean absolute deviation, coefficient of variation, range, and quartiles.
İrem Uçal Sarı +2 more
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Dispersion measures are very useful tools to measure the variability of data. Under uncertainty, the fuzzy set theory can be used to capture the vagueness in the data. This chapter develops the fuzzy versions of classical dispersion measures namely, standard deviation and variance, mean absolute deviation, coefficient of variation, range, and quartiles.
İrem Uçal Sarı +2 more
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Fuzzy Sets and Systems, 1994
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Fuzzy Sets and Systems, 1993
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Generalized Fuzzy Measurability
2015In this paper we introduce two concepts of generalized measurability for set-valued functions, namely \(\varphi\)-μ-total-measurability and \(\varphi\)-μ-measurability relative to a non-negative function \(\varphi: \mathcal{P}_{0}(X) \times \mathcal{P}_{0}(X) \rightarrow [0,+\infty )\) and a non-negative set function \(\mu: \mathcal{A}\rightarrow [0 ...
Anca Croitoru, Nikos Mastorakis
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Fuzzy Sets and Systems, 2008
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American Cancer Society's report on the status of cancer disparities in the United States, 2021
Ca-A Cancer Journal for Clinicians, 2022Farhad Islami +2 more
exaly

