Application of mathematical methods of artificial intelligence to solve problems of optimal set partitioning

The issues of applying mathematical methods of artificial intelligence for solving fuzzyproblems of optimal set partitioning, which represent a new section of infinite-dimensionalmathematical programming with Boolean variables, are considered. It is shown that appa-ratus of artificial intelligence such as fuzzy set theories, fuzzy logic, neural networks,neuro-fuzzy technologies are effectively used to reveal uncertainty in solving fuzzy prob-lems of optimal set partitioning.

Authors

Institutions

Publication Details

Journal
Problems of applied mathematics and mathematic modeling
Published
2024-11-22
DOI
https://doi.org/10.15421/322409
Primary Topic
Aerospace, Electronics, Mathematical Modeling
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Application of mathematical methods of artificial intelligence to solve problems of optimal set partitioning

Liudmyla Hart, Elena M. Kiseleva, Tetyana Zaytseva, Oleksandr Kuzenkov et al.
Problems of applied mathematics and mathematic modeling
Aerospace, Electronics, Mathematical Modeling
article

Application of mathematical methods of artificial intelligence to solve problems of optimal set partitioning

Liudmyla Hart, Elena M. Kiseleva, Tetyana Zaytseva, Oleksandr Kuzenkov, Olga Prytomanova
article en

Abstract

The issues of applying mathematical methods of artificial intelligence for solving fuzzyproblems of optimal set partitioning, which represent a new section of infinite-dimensionalmathematical programming with Boolean variables, are considered. It is shown that appa-ratus of artificial intelligence such as fuzzy set theories, fuzzy logic, neural networks,neuro-fuzzy technologies are effectively used to reveal uncertainty in solving fuzzy prob-lems of optimal set partitioning.

Problems of applied mathematics and mathematic modeling
Kyiv National Economic University named after Vadym Hetman (UA), Oles Honchar Dnipro National University (UA)
Openalex Percentile: Top 75%
Aerospace, Electronics, Mathematical Modeling
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Application of mathematical methods of artificial intelligence to solve problems of optimal set partitioning — Liudmyla Hart, Elena M. Kiseleva, et al. · Problems of applied mathematics and mathematic modeling (2024) | TGRS Research Map | TGRS