Results 251 to 260 of about 219,660 (301)

Optimal measurement planning using fuzzy-set theory

SPIE Proceedings, 2003
In precision measurement, it is known that a measurement process involves errors or factors of different kinds and types. Using the prior knowledge on the relationship between the measured variables and the factors, the best measurement plan may be obtainable if a target function on the errors is minimized.
Xintao Xia, Zhongyu Wang, Yongsheng Gao
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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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Measure theory on granular fuzzy sets

18th International Conference of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.99TH8397), 2003
A granular fuzzy set theory is modeled on fuzzy sets whose membership functions are defined on sets of sets (granules). The grade is interpreted literally; for example, that the grade of x is 1/2 means one half of the granule x belongs to the fuzzy set. By taking the union of these subgranules, one get a crisp set representation of a fuzzy set.
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Fuzzy Subset Theory in the Measurement of Poverty

Philippine Journal of Development, 1992
What has not been explored in the traditional measures of poverty is the extensive set of categorical variables that indicate standard of living and are already available from existing survey data. What precluded researchers from deriving poverty and welfare gauges from these data is the difficulty of incorporating these indicators in their measurement.
Gilberto Llanto, Aniceto Orbeta
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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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Fuzzy approach to the theory of measurement inexactness

Measurement, 2003
Abstract In this paper we propose the t -norm based arithmetics to describe the propagation of both systematic and statistical inexactness. Evaluation of measurement inexactness occurs in three steps: (1) estimation of inexactness of single ‘pure’ measurement results, (2) propagation of inexactness due to statistical evaluation, (3) estimation of ...
Michał K. Urbanski, Janusz Wa̧sowski
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The role of fuzzy scales in measurement theory

Measurement, 2013
The introduction of the representational theory of measurement by Stevens initiated a new way to understand what measurement is and was followed by an intense scientific activity. Ludwik Finkelstein mainly contributed to this activity through several synthetic surveys and his formalisation of this theory includes a generalisation of the representation ...
Benoit, Eric, Foulloy, Laurent
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Fuzzy intervals as a basis for measurement theory

NAFIPS/IFIS/NASA '94. Proceedings of the First International Joint Conference of The North American Fuzzy Information Processing Society Biannual Conference. The Industrial Fuzzy Control and Intelligent Systems Conference, and the NASA Joint Technology Wo, 2002
We describe the problem of error estimation for indirect measurements, one of the main problems of measurement theory. We show why statistical approach is not always adequate, why interval and fuzzy approaches have their own problem, and propose a new paradigm: using fuzzy intervals as a basis for measurement theory. >
G.N. Solopchenko, L.K. Reznik, W.C. Johnson   +2 more
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Inclusion Measures in Intuitionistic Fuzzy Set Theory

2003
Twenty years after their inception, intuitionistic fuzzy sets are on the rise towards making their “claim to fame”. Competing alongside various other, often closely related, formalisms, they are catering to the needs of a more demanding and rapidly expanding knowledge-based systems industry.
Chris Cornelis, Etienne Kerre
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Duality and ordinality in fuzzy measure theory

Fuzzy Sets and Systems, 2003
For a finite fuzzy measure \(m\) (i.e., a non-decreasing set function defined on a sigma-algebra \({\mathcal A}\) of a universe \(X\) vanishing at the empty set), its dual \(m^{\text{d}}:{\mathcal A}\to[0,\infty[\;\) is given by \(m^{\text{d}}(A)=m (X)-m(A^c)\).
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