The role of multiplier bounds in fuzzy data envelopment analysis
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DOI: 10.1007/s10479-017-2404-8
Abstract: The non-Archimedean epsilon $$\varepsilon $$ε is commonly considered as a lower bound for the dual input weights and output weights in multiplier data envelopment analysis (DEA) models. The amount of $$\varepsilon $$ε can be effectively… read more here.
Keywords: fuzzy data; envelopment analysis; weakly efficient; data envelopment ... See more keywords
Characterization of the weakly efficient solutions in nonsmooth quasiconvex multiobjective optimization
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DOI: 10.1007/s10898-020-00893-0
Abstract: In this paper, we establish necessary and sufficient conditions to characterize weakly efficient solutions in nonsmooth quasiconvex multiobjective programming. The results are proved in terms of the Greenberg–Pierskalla, Penot, Plastria, Gutiérrez and Suzuki–Kuroiwa subdifferentials. The… read more here.
Keywords: solutions nonsmooth; weakly efficient; efficient solutions; optimization ... See more keywords
On the Structure of the Weakly Efficient Set for Quasiconvex Vector Minimization
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DOI: 10.1007/s10957-019-01608-6
Abstract: We investigate conditions under which the weakly efficient set for minimization of m objective functions on a closed and convex $$X\subset \mathbb R^d$$ X ⊂ R d ( $$m>d$$ m > d ) is fully… read more here.
Keywords: efficient set; set quasiconvex; weakly efficient; minimization ... See more keywords
Optimality Conditions for Weakly ϵ-Efficient Solutions of Vector Optimization Problems with Applications
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DOI: 10.1080/01630563.2019.1571510
Abstract: Abstract The aim of this article is to provide necessary and sufficient conditions for a feasible point to be a weakly ϵ-efficient solution of a vector optimization problem with cone constraints under generalized convexity notions… read more here.
Keywords: optimality conditions; weakly efficient; conditions weakly; efficient solutions ... See more keywords