Interval Entropy of Fuzzy Sets and the Application to Fuzzy Multiple Attribute Decision Making
A series of new concepts including interval entropy, interval similarity measure, interval distance measure, and interval inclusion measure of fuzzy sets are introduced. Meanwhile, some theorems and corollaries are proposed to show how these definitions can be deduced from each other. And then, base...
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2015/451987 |
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doaj-efaf57f93fbf41c09750a1870e5cd8462020-11-24T22:12:54ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/451987451987Interval Entropy of Fuzzy Sets and the Application to Fuzzy Multiple Attribute Decision MakingYiying Shi0Xuehai Yuan1School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, ChinaSchool of Control Science and Engineering, Dalian University of Technology, Dalian 116024, ChinaA series of new concepts including interval entropy, interval similarity measure, interval distance measure, and interval inclusion measure of fuzzy sets are introduced. Meanwhile, some theorems and corollaries are proposed to show how these definitions can be deduced from each other. And then, based on interval entropy, a fuzzy multiple attribute decision making (FMADM) model is set up. In this model, interval entropy is used as the weight, by which the evaluation values of all alternatives can be obtained. Then all alternatives with respect to each criterion can be ranked as the order of the evaluation values. At last, a practical example is given to illustrate an application of the developed model and a comparative analysis is made.http://dx.doi.org/10.1155/2015/451987 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yiying Shi Xuehai Yuan |
spellingShingle |
Yiying Shi Xuehai Yuan Interval Entropy of Fuzzy Sets and the Application to Fuzzy Multiple Attribute Decision Making Mathematical Problems in Engineering |
author_facet |
Yiying Shi Xuehai Yuan |
author_sort |
Yiying Shi |
title |
Interval Entropy of Fuzzy Sets and the Application to Fuzzy Multiple Attribute Decision Making |
title_short |
Interval Entropy of Fuzzy Sets and the Application to Fuzzy Multiple Attribute Decision Making |
title_full |
Interval Entropy of Fuzzy Sets and the Application to Fuzzy Multiple Attribute Decision Making |
title_fullStr |
Interval Entropy of Fuzzy Sets and the Application to Fuzzy Multiple Attribute Decision Making |
title_full_unstemmed |
Interval Entropy of Fuzzy Sets and the Application to Fuzzy Multiple Attribute Decision Making |
title_sort |
interval entropy of fuzzy sets and the application to fuzzy multiple attribute decision making |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2015-01-01 |
description |
A series of new concepts including interval entropy, interval similarity measure, interval distance measure, and interval inclusion measure of fuzzy sets are introduced. Meanwhile, some theorems and corollaries are proposed to show how these definitions can be deduced from each other. And then, based on interval entropy, a fuzzy multiple attribute decision making (FMADM) model is set up. In this model, interval entropy is used as the weight, by which the evaluation values of all alternatives can be obtained. Then all alternatives with respect to each criterion can be ranked as the order of the evaluation values. At last, a practical example is given to illustrate an application of the developed model and a comparative analysis is made. |
url |
http://dx.doi.org/10.1155/2015/451987 |
work_keys_str_mv |
AT yiyingshi intervalentropyoffuzzysetsandtheapplicationtofuzzymultipleattributedecisionmaking AT xuehaiyuan intervalentropyoffuzzysetsandtheapplicationtofuzzymultipleattributedecisionmaking |
_version_ |
1725801943889084416 |