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Kybernetika 41(2):205-212, 2005.

Classes of Fuzzy Measures and Distortion.

Peter Struk and Ľubica Valášková


Abstract:

Distortion of fuzzy measures is discussed. A special attention is paid to the preservation of submodularity and supermodularity, belief and plausibility. Full characterization of distortion functions preserving the mentioned properties of fuzzy measures is given.


Keywords: fuzzy measure; distorted measure; belief measure; plausibility measure;


AMS: 28E10;


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BIB TeX

@article{kyb:2005:2:205-212,

author = {Struk, Peter and Val\'{a}\v{s}kov\'{a}, Lubica},

title = {Classes of Fuzzy Measures and Distortion.},

journal = {Kybernetika},

volume = {41},

year = {2005},

number = {2},

pages = {205-212}

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

}


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