Nestriktās matemātikas morfoloģijas operatori: teorijas pamati un operatoru realizācija konkrētiem konjuktoru-implikatoru pāriem

6533b85afe1ef96bd12b9a6b

RESEARCH PRODUCT

Nestriktās matemātikas morfoloģijas operatori: teorijas pamati un operatoru realizācija konkrētiem konjuktoru-implikatoru pāriem

subject

fuzzy set Matemātika opening dilation erosion fuzzy mathematical morphology

description

Maģistra darbā apskatīti matemātiskās morfoloģijas pamatoperatoru - dilācija, erozija, atvēršana, slēgšana - paplašinājumi nestriktās kopās. Vispārīga nestrikta morfoloģijas operatora definīcija realizēta konkrētiem konjunktoru-implikātoru pāriem. Operatoru realizācijā par konjunktoriem izvēlētas minimuma, reizinājuma un Lukasieviča t-normas un par implikatoriem - tām atbilstošie rezidiji un Klīnī-Dinesa implikācija. Konkrētie konjunktoru-implikatoru pāriem iegūtie operatori ilustrēti ar vizuāliem piemēriem, to realizācijai izstrādāta arī lietojumprogramma. Veikta iegūto rezultātu analīze.

year	journal	country	edition	language
2021-01-01

https://dspace.lu.lv/dspace/handle/7/55940

PEPhysical Sciences and Engineering
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