Optimality conditions for multiple objective fractional subset programming with (Gamma, rho, sigma, theta)-V-type-I and related non-convex functions

doi:10.1016/j.mcm.2007.12.018

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	Optimality conditions for multiple objective fractional subset programming with (Gamma, rho, sigma, theta)-V-type-I and related non-convex functions
	Mishra, S. K.1,2; Wang, S. Y.3; Lai, K. K.2
	2008-10-01
发表期刊	MATHEMATICAL AND COMPUTER MODELLING
ISSN	0895-7177
卷号	48 期号:7-8 页码:1201-1212
摘要	In this paper, we introduce a new class of generalized convex n-set functions, called (Gamma, rho, sigma, theta)V-Type-I and related non-convex functions, and then establish a number of parametric and semi-parametric sufficient optimality conditions for the primal problem under the aforesaid assumptions. This work partially extends an earlier work of [G.J. Zalmai, Efficiency conditions and duality models for multiobjective fractional subset programming problems with generalized (Gamma, alpha, rho, theta)-V-convex functions, Comput. Math. Appl. 43 ( 2002) 1489 - 1520] to a wider class of functions. (C) 2008 Elsevier Ltd. All rights reserved.
关键词	multiple objective fractional subset programming generalized n-set convex functions optimality conditions
DOI	10.1016/j.mcm.2007.12.018
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000258663700018
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6138
专题	中国科学院数学与系统科学研究院
通讯作者	Mishra, S. K.
作者单位	1.Govind Ballabh Pant Univ Agr & Technol, Dept Math Stat & Comp Sci, Coll Basic Sci & Humanities, Pantnagar 263145, Uttar Pradesh, India 2.City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China 3.Acad Sinica, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Mishra, S. K.,Wang, S. Y.,Lai, K. K.. Optimality conditions for multiple objective fractional subset programming with (Gamma, rho, sigma, theta)-V-type-I and related non-convex functions[J]. MATHEMATICAL AND COMPUTER MODELLING,2008,48(7-8):1201-1212.
APA	Mishra, S. K.,Wang, S. Y.,&Lai, K. K..(2008).Optimality conditions for multiple objective fractional subset programming with (Gamma, rho, sigma, theta)-V-type-I and related non-convex functions.MATHEMATICAL AND COMPUTER MODELLING,48(7-8),1201-1212.
MLA	Mishra, S. K.,et al."Optimality conditions for multiple objective fractional subset programming with (Gamma, rho, sigma, theta)-V-type-I and related non-convex functions".MATHEMATICAL AND COMPUTER MODELLING 48.7-8(2008):1201-1212.