工程数学学报
工程數學學報
공정수학학보
CHINESE JOURNAL OF ENGINEERING MATHEMATICS
2014年
5期
633-644
,共12页
序信息系统%优势关系%划分%属性约简%并行计算
序信息繫統%優勢關繫%劃分%屬性約簡%併行計算
서신식계통%우세관계%화분%속성약간%병행계산
ordered information system%dominance relation%partition%attribute reduction%parallel computing
在粗糙集理论中,序信息系统的属性约简是一个重要的问题。目前已取得一些初步的研究成果,但仍缺乏有效的计算方法,主要表现为求解约简耗时过长。本文采用“分而治之”的策略,利用递减划分对属性进行分组,从而将原系统分解为规模相近的若干子系统,并在互不影响的情况下同步计算各子系统的核与约简,然后将子系统的核与约简合并得到原系统的核与约简。算例分析验证了本文提出的属性约简方法的可行性和有效性。
在粗糙集理論中,序信息繫統的屬性約簡是一箇重要的問題。目前已取得一些初步的研究成果,但仍缺乏有效的計算方法,主要錶現為求解約簡耗時過長。本文採用“分而治之”的策略,利用遞減劃分對屬性進行分組,從而將原繫統分解為規模相近的若榦子繫統,併在互不影響的情況下同步計算各子繫統的覈與約簡,然後將子繫統的覈與約簡閤併得到原繫統的覈與約簡。算例分析驗證瞭本文提齣的屬性約簡方法的可行性和有效性。
재조조집이론중,서신식계통적속성약간시일개중요적문제。목전이취득일사초보적연구성과,단잉결핍유효적계산방법,주요표현위구해약간모시과장。본문채용“분이치지”적책략,이용체감화분대속성진행분조,종이장원계통분해위규모상근적약간자계통,병재호불영향적정황하동보계산각자계통적핵여약간,연후장자계통적핵여약간합병득도원계통적핵여약간。산례분석험증료본문제출적속성약간방법적가행성화유효성。
Attribute reduction in ordered information systems is an important issue in the rough set theory. Up to now, some basic results have been obtained. However, there are few effective computation methods which can save the computing time. In this paper, we apply the divide-and-conquer strategy to deal with it. More specifically, attributes are divided into different groups by progressively decreasing partition, and decomposing the original system into small subsystems with similar size. Then the core and reducts of each subsystem are syn-chronously and independent to calculate. Finally, numerical examples illustrate the feasibility and effectiveness of the proposed attribute reduction method.