灰色结构建模的一种实现算法

IF 1 4区工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Grey System Pub Date : 2007-06-01 DOI:10.30016/JGS.200706.0005

D. Yamaguchi, GuoDong Li, Kozo Mizutani Takahiro Akabane, M. Nagai, M. Kitaoka

{"title":"灰色结构建模的一种实现算法","authors":"D. Yamaguchi, GuoDong Li, Kozo Mizutani Takahiro Akabane, M. Nagai, M. Kitaoka","doi":"10.30016/JGS.200706.0005","DOIUrl":null,"url":null,"abstract":"Grey Structural Modeling (GSM for short) is a new approach of system modeling method succeeding to ISM and FSM. GSM is based on the two procedures: estimating a hierarchy of the elements and estimating paths among the elements. The former is constructed from complex equations including set operation. In this paper, a significant algorithm of the GSM procedure is presented for reliable implementation. The main problem we should solve is how to group the elements into several classes and to determine their hierarchy in the computation. First of all, these procedures are shown in a pseudo language with several figures. The main idea is that two new arrays are defined to manage the elements of hierarchy, and the set operation is founded on the matrix and those arrays computation. Three examples in decision-making are shown with the developed program. The result shows that this algorithm is reliable and the developed program is useful for decision-making.","PeriodicalId":50187,"journal":{"name":"Journal of Grey System","volume":"10 1","pages":"33-40"},"PeriodicalIF":1.0000,"publicationDate":"2007-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"22","resultStr":"{\"title\":\"A Realization Algorithm of Grey Structural Modeling\",\"authors\":\"D. Yamaguchi, GuoDong Li, Kozo Mizutani Takahiro Akabane, M. Nagai, M. Kitaoka\",\"doi\":\"10.30016/JGS.200706.0005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Grey Structural Modeling (GSM for short) is a new approach of system modeling method succeeding to ISM and FSM. GSM is based on the two procedures: estimating a hierarchy of the elements and estimating paths among the elements. The former is constructed from complex equations including set operation. In this paper, a significant algorithm of the GSM procedure is presented for reliable implementation. The main problem we should solve is how to group the elements into several classes and to determine their hierarchy in the computation. First of all, these procedures are shown in a pseudo language with several figures. The main idea is that two new arrays are defined to manage the elements of hierarchy, and the set operation is founded on the matrix and those arrays computation. Three examples in decision-making are shown with the developed program. The result shows that this algorithm is reliable and the developed program is useful for decision-making.\",\"PeriodicalId\":50187,\"journal\":{\"name\":\"Journal of Grey System\",\"volume\":\"10 1\",\"pages\":\"33-40\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2007-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"22\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Grey System\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.30016/JGS.200706.0005\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Grey System","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.30016/JGS.200706.0005","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}

引用次数: 22

摘要

灰色结构建模是继ISM和FSM之后提出的一种新的系统建模方法。GSM基于两个过程:估计元素的层次结构和估计元素之间的路径。前者由包含集合运算的复杂方程构成。本文给出了GSM过程可靠实现的一种重要算法。我们要解决的主要问题是如何将元素分组成几个类，并在计算中确定它们的层次结构。首先，这些程序用伪语言用几个图形表示。其主要思想是定义两个新的数组来管理层次结构中的元素，并在矩阵和这些数组的计算基础上进行集合操作。应用开发的程序给出了三个决策实例。结果表明，该算法是可靠的，所编制的程序对决策是有用的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A Realization Algorithm of Grey Structural Modeling

Grey Structural Modeling (GSM for short) is a new approach of system modeling method succeeding to ISM and FSM. GSM is based on the two procedures: estimating a hierarchy of the elements and estimating paths among the elements. The former is constructed from complex equations including set operation. In this paper, a significant algorithm of the GSM procedure is presented for reliable implementation. The main problem we should solve is how to group the elements into several classes and to determine their hierarchy in the computation. First of all, these procedures are shown in a pseudo language with several figures. The main idea is that two new arrays are defined to manage the elements of hierarchy, and the set operation is founded on the matrix and those arrays computation. Three examples in decision-making are shown with the developed program. The result shows that this algorithm is reliable and the developed program is useful for decision-making.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Grey System 数学-数学跨学科应用

CiteScore

2.40

自引率

43.80%

发文量

审稿时长

1.5 months

期刊介绍： The journal is a forum of the highest professional quality for both scientists and practitioners to exchange ideas and publish new discoveries on a vast array of topics and issues in grey system. It aims to bring forth anything from either innovative to known theories or practical applications in grey system. It provides everyone opportunities to present, criticize, and discuss their findings and ideas with others. A number of areas of particular interest (but not limited) are listed as follows: Grey mathematics- Generator of Grey Sequences- Grey Incidence Analysis Models- Grey Clustering Evaluation Models- Grey Prediction Models- Grey Decision Making Models- Grey Programming Models- Grey Input and Output Models- Grey Control- Grey Game- Practical Applications.