EFFICIENCY IN MULTIOBJECTIVE FRACTIONAL PROGRAMMING WITH GENERALIZED (F, b, φ, ρ, θ)-TYPE I UNIVEX n-SET FUNCTIONS

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作者
Stancu, Andreea Mădălina [1 ]
Jayswal, Anurag [2 ]
Stancu-Minasian, I.M. [1 ]
机构
[1] Gheorghe Mihoc-Caius Iacob Institute of Mathematical Statistics and Applied Mathematics, Romanian Academy, 13 Septembrie Street, No. 13, Bucharest,050711, Romania
[2] Indian Institute of Technology, (Indian School of Mines), Jharkhand, Dhanbad,826 004, India
来源
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics | 2024年 / 86卷 / 02期
关键词
Computer programming - Decision making - Decision theory - Efficiency - Mathematical programming - Operations research - Set theory - Site selection;
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摘要
Stancu-Minasian and Stancu [Duality for multiple objective fractional programming with generalized type-I univexity. In: A. Migdalas et al. (eds.), Optimization Theory, Decision Making and Operations Research Applications, Springer Proceedings in Mathematics & Statistics 31, DOI 10.1007/978-1-4614-5134-1 14, Springer Science + Business Media New York 2013, pp. 199-209.] introduced a new class of (F, b, φ, ρ, θ)-type I univex n-set functions, according to a partition, where F is a convex function in the third argument. In this paper we discuss semiparametric sufficient efficiency conditions for a multiobjective fractional programming problem involving aforesaid class of n-set functions. © 2024, Politechnica University of Bucharest. All rights reserved.
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页码:71 / 84
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