运筹与管理
運籌與管理
운주여관리
OPERATIONS RESEARCH AND MANAGEMENT SCIENCE
2014年
4期
80-86
,共7页
管理科学%方案筛选方法%软集理论%评价指标%积运算%算子
管理科學%方案篩選方法%軟集理論%評價指標%積運算%算子
관이과학%방안사선방법%연집이론%평개지표%적운산%산자
management science%method for screening alternatives%soft set theory%evaluation criteria%product%operators
针对多方给出评价指标集存在差异情形的方案筛选问题,提出了一种基于软集理论的方案筛选方法。在该方法中,首先依据各方给出关于备选方案符合评价指标要求的可接受水平,构建各方相应的评价指标子集,进而针对各备选方案符合评价指标要求的结果构建针对各方评价指标子集的软集;然后构建所有方案均符合全部指标要求的软集,进而通过各评价指标子集的软集与所有方案均符合全部指标要求的软集的积运算和算子运算,得到对应评价指标子集的每方可接受的备选方案集;进一步地,通过各方可接受的备选方案集间的并集运算及交集运算,可得到最终的方案筛选结果。最后,通过一个算例说明了本文给出方法的可行性和有效性。
針對多方給齣評價指標集存在差異情形的方案篩選問題,提齣瞭一種基于軟集理論的方案篩選方法。在該方法中,首先依據各方給齣關于備選方案符閤評價指標要求的可接受水平,構建各方相應的評價指標子集,進而針對各備選方案符閤評價指標要求的結果構建針對各方評價指標子集的軟集;然後構建所有方案均符閤全部指標要求的軟集,進而通過各評價指標子集的軟集與所有方案均符閤全部指標要求的軟集的積運算和算子運算,得到對應評價指標子集的每方可接受的備選方案集;進一步地,通過各方可接受的備選方案集間的併集運算及交集運算,可得到最終的方案篩選結果。最後,通過一箇算例說明瞭本文給齣方法的可行性和有效性。
침대다방급출평개지표집존재차이정형적방안사선문제,제출료일충기우연집이론적방안사선방법。재해방법중,수선의거각방급출관우비선방안부합평개지표요구적가접수수평,구건각방상응적평개지표자집,진이침대각비선방안부합평개지표요구적결과구건침대각방평개지표자집적연집;연후구건소유방안균부합전부지표요구적연집,진이통과각평개지표자집적연집여소유방안균부합전부지표요구적연집적적운산화산자운산,득도대응평개지표자집적매방가접수적비선방안집;진일보지,통과각방가접수적비선방안집간적병집운산급교집운산,가득도최종적방안사선결과。최후,통과일개산례설명료본문급출방법적가행성화유효성。
A method is proposed to solve screening alternatives problems based on soft set theory , in which the criteria sets given by multiple participants are different .In the method , the evaluation criteria subsets of each participant are first constructed based on the acceptance of which each alternative satisfies the requirements of evaluation criteria given by each participant .Then, according to the results that each alternative satisfies the requirements of evaluation criteria , the soft sets for the evaluation criteria subsets of each participant are con-structed .Furthermore , the soft set that all alternatives satisfy the requirements of all evaluation criteria of multi -ple participants are built , and based on the operations of product and operators between the soft sets of evaluation criteria subsets and the soft set all alternatives satisfy the requirements of all evaluation criteria of multiple partici -pants, the alternatives sets of each evaluation criteria subsets accepted by each participant can be obtained . And, according to the union and intersection operation between the alternatives sets in which the each alterna -tives set is accepted by each participant , the ultimate alternatives set passing screening can be obtained .Finally, a numerical example is given to illustrate the feasibility and validity of the proposed method .