Intuitionistic Fuzzy PRI-AND and PRI-OR Aggregation Operators Based on the Priority Degrees and Their Applications in Multi-Attribute Decision Making
Multi-attribute decision making (MADM) problems that exist a prioritization relationship between the attributes get more and more scholars’ attention. Considering that the priority relationship of attributes, the concept of priority degree was applied to assign a non-negative real number...
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oai:doaj.org-article:02eaf73de3d74b9dbe5a5f985e6366262021-11-26T00:01:19ZIntuitionistic Fuzzy PRI-AND and PRI-OR Aggregation Operators Based on the Priority Degrees and Their Applications in Multi-Attribute Decision Making2169-353610.1109/ACCESS.2021.3124516https://doaj.org/article/02eaf73de3d74b9dbe5a5f985e6366262021-01-01T00:00:00Zhttps://ieeexplore.ieee.org/document/9597541/https://doaj.org/toc/2169-3536Multi-attribute decision making (MADM) problems that exist a prioritization relationship between the attributes get more and more scholars’ attention. Considering that the priority relationship of attributes, the concept of priority degree was applied to assign a non-negative real number to each priority order and such a non-negative real number is called the priority degree. In this paper, we introduce two new kinds of intuitionistic fuzzy prioritized aggregation operators based on the priority degrees: intuitionistic fuzzy prioritized “and” aggregation operators (PRI-AND) based on the priority degrees and intuitionistic fuzzy prioritized “or” aggregation operators (PRI-OR) based on the priority degrees and also establish some important properties of these aggregation operators in their different particular cases. Next, we develop a new method for addressing the multi-attribute decision making problems in which the attributes are in different priority levels based on intuitionistic fuzzy prioritized “or” aggregation operators based on the priority degrees. The new proposed methods can provide more choices for decision makers and many decision makers choose the appropriate priority degrees according to their own preference. Finally, an illustrative example is provided to prove the rationality of the proposed approach.Rui HuaBoquan LiYongyi LiIEEEarticleIntuitionistic fuzzy PRI-AND aggregation operatorintuitionistic fuzzy PRI-OR aggregation operatorpriority degreemulti-attribute decision makingintuitionistic fuzzy setElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENIEEE Access, Vol 9, Pp 155472-155490 (2021) |
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Intuitionistic fuzzy PRI-AND aggregation operator intuitionistic fuzzy PRI-OR aggregation operator priority degree multi-attribute decision making intuitionistic fuzzy set Electrical engineering. Electronics. Nuclear engineering TK1-9971 |
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Intuitionistic fuzzy PRI-AND aggregation operator intuitionistic fuzzy PRI-OR aggregation operator priority degree multi-attribute decision making intuitionistic fuzzy set Electrical engineering. Electronics. Nuclear engineering TK1-9971 Rui Hua Boquan Li Yongyi Li Intuitionistic Fuzzy PRI-AND and PRI-OR Aggregation Operators Based on the Priority Degrees and Their Applications in Multi-Attribute Decision Making |
description |
Multi-attribute decision making (MADM) problems that exist a prioritization relationship between the attributes get more and more scholars’ attention. Considering that the priority relationship of attributes, the concept of priority degree was applied to assign a non-negative real number to each priority order and such a non-negative real number is called the priority degree. In this paper, we introduce two new kinds of intuitionistic fuzzy prioritized aggregation operators based on the priority degrees: intuitionistic fuzzy prioritized “and” aggregation operators (PRI-AND) based on the priority degrees and intuitionistic fuzzy prioritized “or” aggregation operators (PRI-OR) based on the priority degrees and also establish some important properties of these aggregation operators in their different particular cases. Next, we develop a new method for addressing the multi-attribute decision making problems in which the attributes are in different priority levels based on intuitionistic fuzzy prioritized “or” aggregation operators based on the priority degrees. The new proposed methods can provide more choices for decision makers and many decision makers choose the appropriate priority degrees according to their own preference. Finally, an illustrative example is provided to prove the rationality of the proposed approach. |
format |
article |
author |
Rui Hua Boquan Li Yongyi Li |
author_facet |
Rui Hua Boquan Li Yongyi Li |
author_sort |
Rui Hua |
title |
Intuitionistic Fuzzy PRI-AND and PRI-OR Aggregation Operators Based on the Priority Degrees and Their Applications in Multi-Attribute Decision Making |
title_short |
Intuitionistic Fuzzy PRI-AND and PRI-OR Aggregation Operators Based on the Priority Degrees and Their Applications in Multi-Attribute Decision Making |
title_full |
Intuitionistic Fuzzy PRI-AND and PRI-OR Aggregation Operators Based on the Priority Degrees and Their Applications in Multi-Attribute Decision Making |
title_fullStr |
Intuitionistic Fuzzy PRI-AND and PRI-OR Aggregation Operators Based on the Priority Degrees and Their Applications in Multi-Attribute Decision Making |
title_full_unstemmed |
Intuitionistic Fuzzy PRI-AND and PRI-OR Aggregation Operators Based on the Priority Degrees and Their Applications in Multi-Attribute Decision Making |
title_sort |
intuitionistic fuzzy pri-and and pri-or aggregation operators based on the priority degrees and their applications in multi-attribute decision making |
publisher |
IEEE |
publishDate |
2021 |
url |
https://doaj.org/article/02eaf73de3d74b9dbe5a5f985e636626 |
work_keys_str_mv |
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