Geodesic
$S$-measures, $T$-measures and distinguished classes of fuzzy measures
Kybernetika, Tome 42 (2006) no. 3, pp. 367-378.

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$S$-measures are special fuzzy measures decomposable with respect to some fixed t-conorm $S$. We investigate the relationship of $S$-measures with some distinguished properties of fuzzy measures, such as subadditivity, submodularity, belief, etc. We show, for example, that each $S_P$-measure is a plausibility measure, and that each $S$-measure is submodular whenever $S$ is 1-Lipschitz.
Classification : 03E72, 28E10
Keywords: fuzzy measure; t-norm; T-conorm; subadditivity; belief 
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     title = {$S$-measures, $T$-measures and distinguished classes of fuzzy measures},
     journal = {Kybernetika},
     pages = {367--378},
     publisher = {mathdoc},
     volume = {42},
     number = {3},
     year = {2006},
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     zbl = {1249.28031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2006__42_3_a8/}
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Struk, Peter; Stupňanová, Andrea. $S$-measures, $T$-measures and distinguished classes of fuzzy measures. Kybernetika, Tome 42 (2006) no. 3, pp. 367-378. http://geodesic.mathdoc.fr/item/KYB_2006__42_3_a8/