运筹与管理2018，Vol.27Issue(4)：10-14,5.DOI:10.12005/orms.2018.0078
区间合作对策核心存在性的进一步讨论
A Further Discussion on the Existence of Interval Core
摘要
Abstract
Interval cooperative game is a hind of model focusing on how to allocate the profits reasonably when the profits of any coalition are interval numbers.For the past years,the existence and reasonableness of its solutions have aroused widespread concern.Interval core is a stable set-valued solution concept in interval cooperative game.Thus in this paper, we firstly have a further discussion on the existence of interval core by introducing some concepts such as:strongly unbalanced,minimal strongly balanced,size monotonic and so on.Then on the condition that the interval profit value of any coalition is not fully used to allocate,a generalized interval coopera-tive game and its solution concepts, such as generalized interval imputation, generalized interval core are pro-posed,a theorem to discuss the existence of generalized interval core is developed.The conclusions in this paper will promote the development of interval cooperative games and lay a sound base for solving the profit allocation problems under interval uncertainties.关键词
区间合作对策/区间核心/均衡对策/极小强均衡/广义区间核心Key words
interval cooperative games/interval core/balanced games/minimal strongly balanced/generalized interval core1分类
数理科学引用本文复制引用
关菲,栗军..区间合作对策核心存在性的进一步讨论[J].运筹与管理,2018,27(4):10-14,5.基金项目
河北省自然科学基金资助项目(F2017207010) （F2017207010）
河北省高等学校科学技术研究项目(QN2017060) （QN2017060）
国家自然科学基金项目(71371030) （71371030）
河北经贸大学校内科研基金青年项目(2017KYQ07)资助 （2017KYQ07）
