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Fuzzy implications based on semicopulas
"... Recently, two new families of fuzzy implication functions called probabilistic implications and probabilistic Simplications were introduced by Grzegorzewski [6, 7, 9]. They are based on conditional copulas and make a bridge between probability theory and fuzzy logic. In this paper we generalize ..."
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Recently, two new families of fuzzy implication functions called probabilistic implications and probabilistic Simplications were introduced by Grzegorzewski [6, 7, 9]. They are based on conditional copulas and make a bridge between probability theory and fuzzy logic. In this paper we
Copula and semicopula transforms
, 2005
"... In memory of Bruno Bassan, friend and colleague We characterize the transformation, defined for every copula C, by Ch(x, y):= h [−1] (C(h(x),h(y))), where x and y belong to [0,1] and h is a strictly increasing and continuous function on [0,1]. We study this transformation also in the class of quasi ..."
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Cited by 11 (5 self)
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In memory of Bruno Bassan, friend and colleague We characterize the transformation, defined for every copula C, by Ch(x, y):= h [−1] (C(h(x),h(y))), where x and y belong to [0,1] and h is a strictly increasing and continuous function on [0,1]. We study this transformation also in the class of quasicopulas
MATHEMATICS OF FUZZY SYSTEMS ABSTRACTS
, 2004
"... 2 Since their inception in 1979 the Linz Seminars on Fuzzy Set Theory have emphasized the development of mathematical aspects of fuzzy sets by bringing together researchers in fuzzy sets and established mathematicians whose work outside the fuzzy setting can provide direction for further research. T ..."
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2 Since their inception in 1979 the Linz Seminars on Fuzzy Set Theory have emphasized the development of mathematical aspects of fuzzy sets by bringing together researchers in fuzzy sets and established mathematicians whose work outside the fuzzy setting can provide direction for further research
Aggregation of fuzzy αCequivalences
"... The article deals with notions of fuzzy equivalences, where transitivity is defined by the use of a fuzzy conjunction. In particular fuzzy Cequivalences and fuzzy αCequivalences are considered. Moreover, the problem of the preservation of their axioms by some aggregation functions is examined. Th ..."
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The article deals with notions of fuzzy equivalences, where transitivity is defined by the use of a fuzzy conjunction. In particular fuzzy Cequivalences and fuzzy αCequivalences are considered. Moreover, the problem of the preservation of their axioms by some aggregation functions is examined
TRIANGULAR NORMS AND RELATED OPERATORS IN MANYVALUED LOGICS ABSTRACTS
, 2003
"... 2 Since their inception in 1979, the Linz Seminars on Fuzzy Sets have emphasized the development of mathematical aspects of fuzzy sets by bringing together researchers in fuzzy sets and established mathematicians whose work outside the fuzzy setting can provide direction for further research. The se ..."
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2 Since their inception in 1979, the Linz Seminars on Fuzzy Sets have emphasized the development of mathematical aspects of fuzzy sets by bringing together researchers in fuzzy sets and established mathematicians whose work outside the fuzzy setting can provide direction for further research
FUZZY SETS, PROBABILITY, AND STATISTICS – GAPS AND BRIDGES ABSTRACTS
, 2007
"... 2 Since their inception in 1979 the Linz Seminars on Fuzzy Sets have emphasized the development of mathematical aspects of fuzzy sets by bringing together researchers in fuzzy sets and established mathematicians whose work outside the fuzzy setting can provide direction for further research. The sem ..."
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2 Since their inception in 1979 the Linz Seminars on Fuzzy Sets have emphasized the development of mathematical aspects of fuzzy sets by bringing together researchers in fuzzy sets and established mathematicians whose work outside the fuzzy setting can provide direction for further research
Biconic semicopulas with a given section
"... Inspired by the notion of biconic semicopulas, we introduce biconic semicopulas with a given section. Such semicopulas are constructed by linear interpolation on segments connecting the graph of a continuous and decreasing function to the points (0, 0) and (1, 1). Special classes of biconic sem ..."
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semicopulas with a given section such as biconic (quasi)copulas with a given section are considered. Some examples are also provided.
Biometrics and Process Control,
"... A general framework for studying the transitivity of reciprocal relations is presented. The key feature is the cyclic evaluation of transitivity: triangles (i.e. any three points) are visited in a cyclic manner. An upper bound function acting upon the ordered weights encountered provides an upper bo ..."
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bound for the ‘sum minus 1 ’ of these weights. Commutative quasicopulas allow to translate a general definition of fuzzy transitivity (when applied to reciprocal relations) elegantly into the framework of cycletransitivity. Similarly, a general notion of stochastic transitivity corresponds to a
unknown title
"... Fuzzy techniques in the usage and construction of comparison measures for music objects Vage technieken in het gebruik en de constructie van vergelijkingsmaten voor muziekobjecten ..."
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Fuzzy techniques in the usage and construction of comparison measures for music objects Vage technieken in het gebruik en de constructie van vergelijkingsmaten voor muziekobjecten
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