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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Main Authors: Yiying Shi, Xuehai Yuan
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/451987
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spelling 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
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AT xuehaiyuan intervalentropyoffuzzysetsandtheapplicationtofuzzymultipleattributedecisionmaking
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