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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Autores principales: Rui Hua, Boquan Li, Yongyi Li
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Lenguaje:EN
Publicado: IEEE 2021
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Acceso en línea:https://doaj.org/article/02eaf73de3d74b9dbe5a5f985e636626
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spelling 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)
institution DOAJ
collection DOAJ
language EN
topic 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
spellingShingle 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
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AT boquanli intuitionisticfuzzypriandandprioraggregationoperatorsbasedontheprioritydegreesandtheirapplicationsinmultiattributedecisionmaking
AT yongyili intuitionisticfuzzypriandandprioraggregationoperatorsbasedontheprioritydegreesandtheirapplicationsinmultiattributedecisionmaking
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