{"title":"Study on a New Definition of Degree of Grey Incidence","authors":"Sifeng Liu, Zhigeng Fang, Yi Lin","doi":"10.30016/JGS.200612.0005","DOIUrl":null,"url":null,"abstract":"Based on the definition of degree of grey incidence, which put forward by Professor Ju-Long Deng, a new definition of absolute degree of grey incidence is given in this paper. And a simplified method to calculate the new absolute degree of grey incidence is put forward and proved. The properties of the new definition of absolute degree of grey incidence are studied. Compared with the original definition, the new definition has many advantages such as (1) satisfies the properties of symmetry, (2) the order of grey incidences remain stable, and (3) with smaller amount of computation, etc.","PeriodicalId":50187,"journal":{"name":"Journal of Grey System","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2006-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"35","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Grey System","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.30016/JGS.200612.0005","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: 35
Abstract
Based on the definition of degree of grey incidence, which put forward by Professor Ju-Long Deng, a new definition of absolute degree of grey incidence is given in this paper. And a simplified method to calculate the new absolute degree of grey incidence is put forward and proved. The properties of the new definition of absolute degree of grey incidence are studied. Compared with the original definition, the new definition has many advantages such as (1) satisfies the properties of symmetry, (2) the order of grey incidences remain stable, and (3) with smaller amount of computation, etc.
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.
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