Preference Attitude-Based Method for Ranking Intuitionistic Fuzzy Numbers and Its Application in Renewable Energy Selection
Many applications of intuitionistic fuzzy sets depend on ranking or comparing intuitionistic fuzzy numbers. This paper presents a novel ranking method for intuitionistic fuzzy numbers based on the preference attitudinal accuracy and score functions. The proposed ranking method considers not only the...
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Language: | English |
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Wiley
2018-01-01
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Series: | Complexity |
Online Access: | http://dx.doi.org/10.1155/2018/6251384 |
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author | Jian Lin Fanyong Meng Riqing Chen Qiang Zhang |
author_facet | Jian Lin Fanyong Meng Riqing Chen Qiang Zhang |
author_sort | Jian Lin |
collection | DOAJ |
description | Many applications of intuitionistic fuzzy sets depend on ranking or comparing intuitionistic fuzzy numbers. This paper presents a novel ranking method for intuitionistic fuzzy numbers based on the preference attitudinal accuracy and score functions. The proposed ranking method considers not only the preference attitude of decision maker, but also all the possible values in feasible domain. Some desirable properties of preference attitudinal accuracy and score functions are verified in detail. A total order on the set of intuitionistic fuzzy numbers is established by using the proposed two functions. The proposed ranking method is also applied to select renewable energy. The advantage and validity of the proposed method are shown by comparing with some representative ranking methods. |
format | Article |
id | doaj-art-d864dca7e63041b88a65199ae45bf826 |
institution | Kabale University |
issn | 1076-2787 1099-0526 |
language | English |
publishDate | 2018-01-01 |
publisher | Wiley |
record_format | Article |
series | Complexity |
spelling | doaj-art-d864dca7e63041b88a65199ae45bf8262025-02-03T01:06:41ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/62513846251384Preference Attitude-Based Method for Ranking Intuitionistic Fuzzy Numbers and Its Application in Renewable Energy SelectionJian Lin0Fanyong Meng1Riqing Chen2Qiang Zhang3College of Computer and Information, Fujian Agriculture and Forestry University, Fuzhou 350002, ChinaSchool of Business, Central South University, Changsha 410083, ChinaCollege of Computer and Information, Fujian Agriculture and Forestry University, Fuzhou 350002, ChinaSchool of Management and Economics, Beijing Institute of Technology, Beijing 100081, ChinaMany applications of intuitionistic fuzzy sets depend on ranking or comparing intuitionistic fuzzy numbers. This paper presents a novel ranking method for intuitionistic fuzzy numbers based on the preference attitudinal accuracy and score functions. The proposed ranking method considers not only the preference attitude of decision maker, but also all the possible values in feasible domain. Some desirable properties of preference attitudinal accuracy and score functions are verified in detail. A total order on the set of intuitionistic fuzzy numbers is established by using the proposed two functions. The proposed ranking method is also applied to select renewable energy. The advantage and validity of the proposed method are shown by comparing with some representative ranking methods.http://dx.doi.org/10.1155/2018/6251384 |
spellingShingle | Jian Lin Fanyong Meng Riqing Chen Qiang Zhang Preference Attitude-Based Method for Ranking Intuitionistic Fuzzy Numbers and Its Application in Renewable Energy Selection Complexity |
title | Preference Attitude-Based Method for Ranking Intuitionistic Fuzzy Numbers and Its Application in Renewable Energy Selection |
title_full | Preference Attitude-Based Method for Ranking Intuitionistic Fuzzy Numbers and Its Application in Renewable Energy Selection |
title_fullStr | Preference Attitude-Based Method for Ranking Intuitionistic Fuzzy Numbers and Its Application in Renewable Energy Selection |
title_full_unstemmed | Preference Attitude-Based Method for Ranking Intuitionistic Fuzzy Numbers and Its Application in Renewable Energy Selection |
title_short | Preference Attitude-Based Method for Ranking Intuitionistic Fuzzy Numbers and Its Application in Renewable Energy Selection |
title_sort | preference attitude based method for ranking intuitionistic fuzzy numbers and its application in renewable energy selection |
url | http://dx.doi.org/10.1155/2018/6251384 |
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