Results 231 to 240 of about 14,344 (264)

Measure Theory, Metrology and Fuzzy Sets

Śląski Przegląd Statystyczny
Mathematical 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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Decision tree generation using fuzzy measure theory

Journal of the Chinese Institute of Industrial Engineers, 1997
Abstract The methodology of generating rules for knowledge base development requires the understanding and regulation of several complex tasks. While ID3 algorithm is used to induce a decision tree from a set of examples, conversion either from a linguistic value to a numeric value or vice versa is necessary due to the requirement of information ...
Kang Chang, Chien-Hsing Wu
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Hasse Diagrams, Poset Theory and Fuzzy Poverty Measures

Rivista internazionale di scienze sociali : 1, 2008, 2008
It 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, 1988
Abstract 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

1992
Abstract : 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, 1974
The 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

1987
Let (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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Attribute reduction methods in fuzzy rough set theory: An overview, comparative experiments, and new directions

Applied Soft Computing Journal, 2021
Tianrui Li, Hongmei Chen, Zhong Yuan
exaly  

Fuzzy Measure Theory

1992
Zhenyuan Wang, George J. Klir
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Three-Way Group Conflict Analysis Based on Pythagorean Fuzzy Set Theory

IEEE Transactions on Fuzzy Systems, 2020
Hamido Fujita, Duoqian Miao, Guangming Lang   +2 more
exaly