. "1"^^ . "600965" . "P(GA201/02/1540), Z(MSM 212300013)" . "Ljapunov Theorem;T-measure;fuzzy measure;fuzzy set;triangular norm;tribe"@en . "1" . "21230" . . "Characterization of T-measures" . "As a natural generalization of a measure space, Butnariu and Klement introduced T-tribes of fuzzy sets with T-measures. They made the first steps towards a characterization of monotonic real-valued T-measures for a Frank triangular norm T. Later on, Mesiar and the authors of this paper found independently two generalizations, one for vector-valued T-measures with respect to Frank t-norms (in particular for nonmonotonic ones), the other for monotonic real-valued T-measures with respect to general strict t-norms. Here we present a common generalization-a characterization of nonmonotonic T-measures with respect to an arbitrary strict t-norm. Moreover, we prove this for vector-valued T-measures. Using their characterization, we generalize Ljapunov Theorem to this context." . "3"^^ . "Soft Computing" . . . . . "Characterization of T-measures"@en . . "8" . . "Characterization of T-measures"@en . . . . . "Navara, Mirko" . "RIV/68407700:21230/03:03091322" . . "44 ; 50" . "Characterization of T-measures" . "Weber, H." . "DE - Spolkov\u00E1 republika N\u011Bmecko" . "As a natural generalization of a measure space, Butnariu and Klement introduced T-tribes of fuzzy sets with T-measures. They made the first steps towards a characterization of monotonic real-valued T-measures for a Frank triangular norm T. Later on, Mesiar and the authors of this paper found independently two generalizations, one for vector-valued T-measures with respect to Frank t-norms (in particular for nonmonotonic ones), the other for monotonic real-valued T-measures with respect to general strict t-norms. Here we present a common generalization-a characterization of nonmonotonic T-measures with respect to an arbitrary strict t-norm. Moreover, we prove this for vector-valued T-measures. Using their characterization, we generalize Ljapunov Theorem to this context."@en . "RIV/68407700:21230/03:03091322!RIV/2004/GA0/212304/N" . . "[68D86F64B848]" . . . . . "1432-7643" . "7"^^ . "Barbieri, G." . . .