运筹与管理
運籌與管理
운주여관리
OPERATIONS RESEARCH AND MANAGEMENT SCIENCE
2013年
6期
78-83
,共6页
管理科学%混合多属性决策%模糊熵%熵权%直觉模糊集
管理科學%混閤多屬性決策%模糊熵%熵權%直覺模糊集
관이과학%혼합다속성결책%모호적%적권%직각모호집
management science%hybrid multi-attribute decision making%fuzzy entropy%entropy weight%intuitionist fuzzy set
针对决策信息以区间数、直觉模糊数和语言变量给出的混合多属性决策问题,提出了基于模糊熵-熵权法的混合多属性决策方法。通过规范化的方法把区间数转化为直觉模糊数,建立了直觉模糊数与语言变量的对应关系,把混合多属性决策信息统一在同一决策框架下;然后利用熵权法确定属性的客观权重区间,通过求解属性信息模糊熵最小的线性规划模型得到属性客观权重;再与主观赋权方法相结合确定属性的组合权重;最后应用相对熵排序法得到方案的最终排序结果。算例分析表明方法的可行性和实用性。
針對決策信息以區間數、直覺模糊數和語言變量給齣的混閤多屬性決策問題,提齣瞭基于模糊熵-熵權法的混閤多屬性決策方法。通過規範化的方法把區間數轉化為直覺模糊數,建立瞭直覺模糊數與語言變量的對應關繫,把混閤多屬性決策信息統一在同一決策框架下;然後利用熵權法確定屬性的客觀權重區間,通過求解屬性信息模糊熵最小的線性規劃模型得到屬性客觀權重;再與主觀賦權方法相結閤確定屬性的組閤權重;最後應用相對熵排序法得到方案的最終排序結果。算例分析錶明方法的可行性和實用性。
침대결책신식이구간수、직각모호수화어언변량급출적혼합다속성결책문제,제출료기우모호적-적권법적혼합다속성결책방법。통과규범화적방법파구간수전화위직각모호수,건립료직각모호수여어언변량적대응관계,파혼합다속성결책신식통일재동일결책광가하;연후이용적권법학정속성적객관권중구간,통과구해속성신식모호적최소적선성규화모형득도속성객관권중;재여주관부권방법상결합학정속성적조합권중;최후응용상대적배서법득도방안적최종배서결과。산례분석표명방법적가행성화실용성。
For the problem of the hybrid MADM for interval number , intuitionistic fuzzy numbers and linguistic variables, this paper proposes a method to determine the attribute weight based on fuzzy entropy .This method changes the interval number to the intuitionistic fuzzy number by standardized method , and unites the information of the decision in the same framework by building the relationship between the intuitinistic fuzzy numbers and the linguistic variables .Then it uses the model of the entropy weight to determine the objective weights range of the attributes , gets the objective weights by the liner programming model of the minimum of the fuzzy entropy , and gets the combined weights by combining subjective weight method .At last it gets the ranking results by the meth-od of the relative entropy .A numerical example illustrates the validity and applicability of the proposed method .