A Two-Phase Constraint-Handling Technique for Constrained Optimization

Yuan, Yangfei; Gao, Weifeng; Huang, Lingling; Li, Hong; Xie, Jin

doi:10.1109/tsmc.2023.3281550

Cited by 4 publications

(1 citation statement)

References 52 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Yamakawa et al (2023) discussed a new nonlinear optimization model to solve semi definite optimization problems (SDPs), providing some properties related to local optimal solutions. Yuan et al (2023) proposed a two-phase constraint-handling technique is integrated into the evolutionary algorithms to solve constrained optimization problems (called TPDE). A constrained optimization EAs (COEA) based on the two-phase CHT (TPDE), which consists of the exploration phase and exploitation phase, and the EPM and IPM are utilized for selection.…”

Section: Introductionmentioning

confidence: 99%

Solving Fuzzy Nonlinear Programming Problems With Exterior Penalty Fuzzy Valued Functions

Vanaja

2024

AMMA

View full text Add to dashboard Cite

In this article, we explore the exterior penalty fuzzy valued function method for Fuzzy Nonlinear Programming Problems (FNLPP). We present methods of penalty fuzzy valued function for solving constrained optimization problems by converting to unconstrained optimization problems. Triangular fuzzy numbers are used to represent the problem’s decision variables and coefficients. Using a new fuzzy arithmetic and fuzzy ranking method on the parametric form of triangular fuzzy numbers, the optimal solution of the FNLPP is found by applying the exterior penalty fuzzy valued function method without changing to its equivalent crisp form. We present a numerical example of the suggested method and compare the results to those produced by existing methods

show abstract

Section: Introductionmentioning

confidence: 99%