Qudratic Programming with Max-Min Fuzzy Relation Equations Constraint

In this paper, a new solution method of quadratic programming with max-min fuzzy relation equation constraint is put forward. Firstly, the optimal solution to some special fuzzy relation quadratic programming is researched. Secondly, some rules are presented to simplify the original programming. Finally, the new algorithm is given based on the simplified programming and the branch and bound method, the new algorithm does not need to find all feasible minimal solutions. Some numerical examples are given to illustrate the feasibility and effectiveness of the presented new algorithm.

Authors

Institutions

Publication Details

Journal
Fuzzy Information and Engineering
Published
2024-12-01
DOI
https://doi.org/10.26599/fie.2024.9270047
Primary Topic
Optimization and Mathematical Programming
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Qudratic Programming with Max-Min Fuzzy Relation Equations Constraint

Xue-Gang Zhou
Fuzzy Information and Engineering
Optimization and Mathematical Programming
article

Qudratic Programming with Max-Min Fuzzy Relation Equations Constraint

Xue-Gang Zhou
article en

Abstract

In this paper, a new solution method of quadratic programming with max-min fuzzy relation equation constraint is put forward. Firstly, the optimal solution to some special fuzzy relation quadratic programming is researched. Secondly, some rules are presented to simplify the original programming. Finally, the new algorithm is given based on the simplified programming and the branch and bound method, the new algorithm does not need to find all feasible minimal solutions. Some numerical examples are given to illustrate the feasibility and effectiveness of the presented new algorithm.

Fuzzy Information and EngineeringVol. 16(4)
Guangdong University of Finance (CN)
National Natural Science Foundation of China, Natural Science Foundation of Guangdong Province
Openalex Percentile: Top 70%
Optimization and Mathematical Programming
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.