Fritz John Optimality Conditions for Interval-Valued Multi-Objective Functions Using gH-Symmetrical Derivative

Sachin Rastogi, Akhlad Iqbal, Sanjeev Rajan
{"title":"Fritz John Optimality Conditions for Interval-Valued Multi-Objective Functions Using gH-Symmetrical Derivative","authors":"Sachin Rastogi, Akhlad Iqbal, Sanjeev Rajan","doi":"10.1142/S0217595921500299","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce the concept and applications of gH-symmetrical derivative for interval-valued multi-objective functions, which is the generalization of generalized Hukuhara derivative (gH-derivative). By a suitable example it has been shown that gH-symmetrically derivative is an extension of gH-derivative. Furthermore, we apply this new derivative to investigate the Fritz John type optimality conditions for interval-valued multiobjective programming problems. We use LR type of order relation in this context.","PeriodicalId":8478,"journal":{"name":"Asia Pac. J. Oper. Res.","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asia Pac. J. Oper. Res.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/S0217595921500299","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1

Abstract

In this paper, we introduce the concept and applications of gH-symmetrical derivative for interval-valued multi-objective functions, which is the generalization of generalized Hukuhara derivative (gH-derivative). By a suitable example it has been shown that gH-symmetrically derivative is an extension of gH-derivative. Furthermore, we apply this new derivative to investigate the Fritz John type optimality conditions for interval-valued multiobjective programming problems. We use LR type of order relation in this context.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
h -对称导数下区间值多目标函数的Fritz John最优性条件
本文介绍了区间值多目标函数的h -对称导数的概念及其应用,它是广义Hukuhara导数(gh -导数)的推广。通过一个适当的例子证明了h -对称导数是h -导数的推广。进一步,我们应用这个新导数研究了区间值多目标规划问题的Fritz John型最优性条件。在这种情况下,我们使用LR类型的顺序关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Uncertainty in Study of Social Networks: Robust Optimization and Machine Learning Optimality Conditions for E-Convex Interval-Valued Programming Problem Using gH-Symmetrical Derivative A Bicriterion Approach to Due Date Assignment Scheduling in Single-Machine with Position-Dependent Weights Approximation Algorithms for Spherical k-Means Problem with Penalties Using Local Search Techniques An Accelerated Three-Term Extension of a Descent Nonlinear Conjugate Gradient Method
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1