运筹与管理
運籌與管理
운주여관리
OPERATIONS RESEARCH AND MANAGEMENT SCIENCE
2014年
3期
102-107
,共6页
模糊合作对策%直觉模糊集%核心%核仁解
模糊閤作對策%直覺模糊集%覈心%覈仁解
모호합작대책%직각모호집%핵심%핵인해
fuzzy cooperative game%intuitionistic fuzzy sets%the core%the nucleolus
本文主要研究支付值为直觉模糊集的合作对策问题及其模糊核仁解。首先定义了直觉模糊集的得分函数和精确函数,并给出其排序方法,得到基于直觉模糊集的合作对策模型和适合这种模型的相应定义,同时提出了直觉模糊核仁解的概念;其次运用新的排序方法将求核仁解的问题转化为求解双目标非线性规划问题;最后通过实例分析验证了该方法的可行性和有效性。
本文主要研究支付值為直覺模糊集的閤作對策問題及其模糊覈仁解。首先定義瞭直覺模糊集的得分函數和精確函數,併給齣其排序方法,得到基于直覺模糊集的閤作對策模型和適閤這種模型的相應定義,同時提齣瞭直覺模糊覈仁解的概唸;其次運用新的排序方法將求覈仁解的問題轉化為求解雙目標非線性規劃問題;最後通過實例分析驗證瞭該方法的可行性和有效性。
본문주요연구지부치위직각모호집적합작대책문제급기모호핵인해。수선정의료직각모호집적득분함수화정학함수,병급출기배서방법,득도기우직각모호집적합작대책모형화괄합저충모형적상응정의,동시제출료직각모호핵인해적개념;기차운용신적배서방법장구핵인해적문제전화위구해쌍목표비선성규화문제;최후통과실례분석험증료해방법적가행성화유효성。
This paper focuses on the problem of the cooperative game with payoffs of intuitionistic fuzzy sets ( IFS) and its fuzzy nucleolus .Firstly, the score function and accurate function of IFS are defined and given their the approach for ranking of IFS .The cooperative game model and its related definitions are given .The concept of the fuzzy nucleolus in fuzzy cooperative game is put forward .Secondly , according to the new ranking approach , the intuitionistic fuzzy nucleolus can be obtained by solving the bi-objective nonlinear programming model .Finally, an example is given to explain the feasibility and availability of this method .