A variable and a fixed ordering of intervals and their application in optimization with interval-valued functions

DOI10.1016/j.ijar.2020.03.004zbMath1446.65024OpenAlexW3011285224MaRDI QIDQ2191240

Debdas Ghosh, Witold Pedrycz, Amit Kumar Debnath

Publication date: 24 June 2020

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijar.2020.03.004

zbMATH Keywords

interval-valued functionsnondominated solutionsinterval optimization problemscone of intervalspartial order relation of intervalsvariable ordering structure on intervals

Mathematics Subject Classification ID

Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Combinatorics of partially ordered sets (06A07) Interval and finite arithmetic (65G30)

Related Items (11)

A first bibliography on set and vector optimization problems with respect to variable domination structures ⋮ On the fractional double integral inclusion relations having exponential kernels via interval-valued co-ordinated convex mappings ⋮ Some new concepts related to fuzzy fractional calculus for up and down convex fuzzy-number valued functions and inequalities ⋮ Fréchet subdifferential calculus for interval-valued functions and its applications in nonsmooth interval optimization ⋮ Interval variational inequalities and their relationship with interval optimization problems ⋮ Ekeland's variational principle for interval-valued functions ⋮ Optimality conditions for nonsmooth fuzzy optimization models under the gH-weak subdifferentiability ⋮ On the fractional integral inclusions having exponential kernels for interval-valued convex functions ⋮ Certain fractional integral inclusions pertaining to interval-valued exponential trigonometric convex functions ⋮ Generalized-Hukuhara penalty method for optimization problem with interval-valued functions and its application in interval-valued portfolio optimization problems ⋮ Generalized Hukuhara-Clarke derivative of interval-valued functions and its properties

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• Introduction to Interval Analysis
• Set optimization by means of variable order relations
• Variable Ordering Structures in Vector Optimization

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