Results 251 to 260 of about 220,242 (290)

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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Measurement-theoretic justification of connectives in fuzzy set theory

Fuzzy Sets and Systems, 1995
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Taner Bilgiç, I. Burhan Türksen
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Adjacency on the order polytope with applications to the theory of fuzzy measures

Fuzzy Sets and Systems, 2010
The adjacency structures of the order polytope of a poset are studied. For a given poset it is determined by its filters whether two vertices in the corresponding order polytope are adjacent. It is shown that checking adjacency between two vertices can be done in quadratic time with respect to the cardinality of the poset.
Elías F. Combarro, Pedro Miranda 0002
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A THEORY OF FUZZY MEASURES: INTEGRATION AND ITS ADDITIVITY

International Journal of General Systems, 1994
Fuzzy measures and their corresponding Choquet integrals introduced by Murofushi and Sugeno [1989, 1991] are included in the theory of pre-measures and the corresponding integral developed by Sipos [1979a, 1979b]. The additivity of Sipos integral is studied. As a corollary, the additivity of the Choquet integral is obtained.
RADKO MESIAR, JÁN ŠIPOŠ
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A measure of the satisfaction by Fuzzy set theory

2013
In this paper the fuzzy set theory is applied to define a measure of subject satisfaction relating to every social aspect (quality of life, job, a service, etc.). This theory is based on the construction of a membership function to a fuzzy set.
De Battista, F, MARASINI, DONATA, Nicolini, G.   +2 more
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Characterizing isometries on the order polytope with an application to the theory of fuzzy measures

Information Sciences, 2010
zbMATH 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, 2002
Based 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, Kwai-Sang Chin, Chuangyin Dang, Richard C. M. Yam   +3 more
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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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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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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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