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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Main Authors: Jian Lin, Fanyong Meng, Riqing Chen, Qiang Zhang
Format: Article
Language:English
Published: Wiley 2018-01-01
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.
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institution Kabale University
issn 1076-2787
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publishDate 2018-01-01
publisher Wiley
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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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AT riqingchen preferenceattitudebasedmethodforrankingintuitionisticfuzzynumbersanditsapplicationinrenewableenergyselection
AT qiangzhang preferenceattitudebasedmethodforrankingintuitionisticfuzzynumbersanditsapplicationinrenewableenergyselection