Results 221 to 230 of about 14,344 (264)
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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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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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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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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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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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A measure of the satisfaction by Fuzzy set theory
2013In 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 +2 more
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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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