Models of Relative Nearness Incidence Based on Standard Distance Entropy

Models of Relative Nearness Incidence Based on Standard Distance Entropy

The model of grey nearness incidence cannot reflect the nearness degree of sequences correctly. Therefore, the model of relative nearness incidence of sequences, curves, and surfaces is suggested based on standard distance entropy to remove the current bottlenecks and its properties are studied. At...

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Main Authors: Liusan Wu, Qingmei Tan, Yuehui Zhang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2014/910248
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spelling doaj-20648aac48b24afda4936579d7a57c462020-11-25T01:10:21ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/910248910248Models of Relative Nearness Incidence Based on Standard Distance EntropyLiusan Wu0Qingmei Tan1Yuehui Zhang2School of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, ChinaSchool of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, ChinaDepartment of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, ChinaThe model of grey nearness incidence cannot reflect the nearness degree of sequences correctly. Therefore, the model of relative nearness incidence of sequences, curves, and surfaces is suggested based on standard distance entropy to remove the current bottlenecks and its properties are studied. At last, three cases are exemplified to demonstrate the validity and practicability of relative nearness incidence. The proposed models have enriched the theory of grey nearness incidence, filled the defects of grey nearness incidence.http://dx.doi.org/10.1155/2014/910248
collection DOAJ
language English
format Article
sources DOAJ
author Liusan Wu
Qingmei Tan
Yuehui Zhang
spellingShingle Liusan Wu
Qingmei Tan
Yuehui Zhang
Models of Relative Nearness Incidence Based on Standard Distance Entropy
Mathematical Problems in Engineering
author_facet Liusan Wu
Qingmei Tan
Yuehui Zhang
author_sort Liusan Wu
title Models of Relative Nearness Incidence Based on Standard Distance Entropy
title_short Models of Relative Nearness Incidence Based on Standard Distance Entropy
title_full Models of Relative Nearness Incidence Based on Standard Distance Entropy
title_fullStr Models of Relative Nearness Incidence Based on Standard Distance Entropy
title_full_unstemmed Models of Relative Nearness Incidence Based on Standard Distance Entropy
title_sort models of relative nearness incidence based on standard distance entropy
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2014-01-01
description The model of grey nearness incidence cannot reflect the nearness degree of sequences correctly. Therefore, the model of relative nearness incidence of sequences, curves, and surfaces is suggested based on standard distance entropy to remove the current bottlenecks and its properties are studied. At last, three cases are exemplified to demonstrate the validity and practicability of relative nearness incidence. The proposed models have enriched the theory of grey nearness incidence, filled the defects of grey nearness incidence.
url http://dx.doi.org/10.1155/2014/910248
work_keys_str_mv AT liusanwu modelsofrelativenearnessincidencebasedonstandarddistanceentropy
AT qingmeitan modelsofrelativenearnessincidencebasedonstandarddistanceentropy
AT yuehuizhang modelsofrelativenearnessincidencebasedonstandarddistanceentropy
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