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Kybernetika 41(4):497-518, 2005.

Multiplication, Distributivity and Fuzzy-Integral III

Wolfgang Sander and Jens Siedekum


Abstract:

Based on the results of generalized additions, multiplications and differences proven in Part~I and II of this paper a framework for a general integral is presented. Moreover it is shown that many results of the literature are contained as special cases in our results.


Keywords: fuzzy measures; distributivity law; restricted domain; pseudo-addition; pseudo-multiplication; Choquet integral; Sugeno integral;


AMS: 28A25; 20M30;


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BIB TeX

@article{kyb:2005:4:497-518,

author = {Sander, Wolfgang and Siedekum, Jens },

title = {Multiplication, Distributivity and Fuzzy-Integral III},

journal = {Kybernetika},

volume = {41},

year = {2005},

number = {4},

pages = {497-518}

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

}


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