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Fuzzy Subset Theory in the Measurement of Poverty
Philippine Journal of Development, 1992What 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.
Bantilan, Maria Cynthia S. +2 more
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Imperfect Pattern Recognition Using the Fuzzy Measure Theory
2009This paper aims to provide a unified framework to deal with information imperfection and heterogeneity using possibility theory, in addition to information conflict and scarcity using Dempster-Shafer theory in order to classify imperfectly-described medical images. The proposed method is very robust and general.
Dahabiah, Anas +2 more
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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, 2002We 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 +2 more
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A study of similarity measures through the paradigm of measurement theory: the fuzzy case
Soft Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Coletti, Giulianella +1 more
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Inclusion Measures in Intuitionistic Fuzzy Set Theory
2003Twenty 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 E. Kerre
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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), 2003A 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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Generalization of the Dempster-Shafer theory: a fuzzy-valued measure
IEEE Transactions on Fuzzy Systems, 1999The Dempster-Shafer theory (DST) may be considered as a generalization of the probability theory, which assigns mass values to the subsets of the referential set and suggests an interval-valued probability measure. There have been several attempts for fuzzy generalization of the DST by assigning mass (probability) values to the fuzzy subsets of the ...
Caro Lucas, Babak Nadjar Araabi
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Measurement-theoretic justification of connectives in fuzzy set theory
Fuzzy Sets and Systems, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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, 2010The 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, 1994Fuzzy 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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