PSEUDO-CONVOLUTION BASED ON IDEMPOTENT OPERATION AS LIMIT OF g-CONVOLUTION

Endre Pap, Ivana Štajner-Papuga · International Journal of Uncertainty Fuzziness and Knowledge-Based Systems · 1999

Operation with functions known as pseudo-convolution and its generalization as well as theirs basic properties has been presented. Then, it has been proved that pseudo-convolution which core is pseudo-integral based on max or min decomposable measure can be obtained as limit of g-convolutions, i.e., pseudo-convolutions with pseudo-integrals based on ⊕-decomposable measures where ⊕ is generated pseudo-addition, as their cores.

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