BACK to VOLUME 42 NO.3

Kybernetika 42(3):367-378, 2006.

S-measures, T-measures and Distinguished Classes of Fuzzy Measures

Peter Struk and Andrea Stupňanová


Abstract:

$S$-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.


Keywords: fuzzy measure; t-norm; T-conorm; subadditivity; belief;


AMS: 28E10;


download abstract.pdf


BIB TeX

@article{kyb:2006:3:367-378,

author = {Struk, Peter and Stup\v{n}anov\'{a}, Andrea},

title = {$S$-measures, $T$-measures and Distinguished Classes of Fuzzy Measures},

journal = {Kybernetika},

volume = {42},

year = {2006},

number = {3},

pages = {367-378}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


BACK to VOLUME 42 NO.3