Results 181 to 190 of about 529 (217)
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Characterizing isometries on the order polytope with an application to the theory of fuzzy measures
Information Sciences, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elías F. Combarro, Pedro Miranda 0002
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A new method for measuring uncertainty and fuzziness in rough set theory
International Journal of General Systems, 2002Based on the complement behavior of information gain, a new definition of information entropy is proposed along with its justification in rough set theory. Some properties of this definition imply those of Shannon's entropy. Based on the new information entropy, conditional entropy and mutual information are then introduced and applied to knowledge ...
Jiye Liang +3 more
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Measure Theory, Metrology and Fuzzy Sets
Śląski Przegląd StatystycznyMathematical models of physical objects customarily rely on idealised Euclidean geometries, representing boundaries as crisp, continuous lines or surfaces. However, physical reality – ranging from the surface of a rubber ball to biological membranes – is characterised by microscopic roughness, textural undulations, and measurement ambiguity. This paper
Reinhard Viertl, Jan Schneider
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Hasse Diagrams, Poset Theory and Fuzzy Poverty Measures
Rivista internazionale di scienze sociali : 1, 2008, 2008It is generally agreed that poverty cannot be faithfully represented by a single monetary measure. Poverty involves many different aspects of life and people can be poor in different ways, to different degrees and from several points of view. For this reason, fuzzy multidimensional indicators have been proposed to measure material deprivation. However,
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FOUNDATIONS OF O-THEORY: MEASUREMENTS AND RELATION TO FUZZY SET THEORY
International Journal of General Systems, 1988Abstract A measurement framework for O-theory, an algebra of random sets, is presented. The framework is probabilistic and derived from experimental measurements of evidential support. It is used to quantify the probabilistic masses needed in O-theory.
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Toward a Fuzzy Theory of Performance Measurement
1992Abstract : This report offers an alternative method for evaluating military unit performance. Fuzzy set theory is presented as a formal model of language expressions used in value judgments made by military experts. Further, it is suggested that fuzzy set theory may be used to connect the automated or instrumented physical measures taken from unit ...
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Fuzzy sets in the theory of measurement of incompatible observables
Foundations of Physics, 1974The notion of fuzzy event is introduced in the theory of measurement in quantum mechanics by indicating in which sense measurements can be considered to yield fuzzy sets. The concept of probability measure on fuzzy events is defined, and its general properties are deduced from the operational meaning assigned to it.
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Radon-Nikodým derivatives and conditioning in fuzzy measure theory
1987Let (X,\({\mathcal F},g)\) be a fuzzy measure space, as defined by \textit{M. Sugeno} in his Thesis (1974). Given any measurable function f: \(X\to {\mathbb{R}}^+_ 0\), and any set \(A\in {\mathcal F}\), the fuzzy integral of f over A, with respect to g, is the following number: \[ \int_{A}f\cdot g=\sup_{\alpha \geq 0}[\alpha \wedge g(A\cap F_{\alpha})]
CANDELORO, Domenico, PUCCI S.
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