Intuitionistic Fuzzy Prioritized Aggregation Operators Based on Priority Degrees with Application to Multicriteria Decision-Making
In practise, intuitionistic fuzzy numbers (IFNs) are particularly useful for describing ambiguous data. We look at multicriteria decision-making (MCDM) problems with a prioritising relationship between the parameters. The concept of a priority degree is presented. The aggregation operators (AOs) are...
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Wiley
2022-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2022/4751835 |
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author | Ahmad N. Al-Kenani Rukhshanda Anjum Sahidul Islam |
author_facet | Ahmad N. Al-Kenani Rukhshanda Anjum Sahidul Islam |
author_sort | Ahmad N. Al-Kenani |
collection | DOAJ |
description | In practise, intuitionistic fuzzy numbers (IFNs) are particularly useful for describing ambiguous data. We look at multicriteria decision-making (MCDM) problems with a prioritising relationship between the parameters. The concept of a priority degree is presented. The aggregation operators (AOs) are formed by assigning nonnegative real numbers to stringent priority levels, known as priority degrees. As a result, we construct “intuitionistic fuzzy prioritized averaging operator with priority degrees” and “intuitionistic fuzzy prioritized geometric operator with priority degrees,” which are both prioritized operators. The attributes of the existing method are frequently compared to those of other current approaches, stressing the superiority of the provided work over other methods now in use. In addition, the impact of priority degrees on the overall result is thoroughly investigated. Furthermore, in the intuitionistic fuzzy set (IFS) context, a decision-making strategy is proposed based on these operators. To highlight the efficacy of the proposed approach, an illustrative example relating to the selection of the best choice is considered. |
format | Article |
id | doaj-art-c3316d6acf214b9fa3f2131274692b08 |
institution | Kabale University |
issn | 2314-8888 |
language | English |
publishDate | 2022-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Function Spaces |
spelling | doaj-art-c3316d6acf214b9fa3f2131274692b082025-02-03T01:00:13ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/4751835Intuitionistic Fuzzy Prioritized Aggregation Operators Based on Priority Degrees with Application to Multicriteria Decision-MakingAhmad N. Al-Kenani0Rukhshanda Anjum1Sahidul Islam2Department of MathematicsDepartment of Mathematics and StatisticsDepartment of MathematicsIn practise, intuitionistic fuzzy numbers (IFNs) are particularly useful for describing ambiguous data. We look at multicriteria decision-making (MCDM) problems with a prioritising relationship between the parameters. The concept of a priority degree is presented. The aggregation operators (AOs) are formed by assigning nonnegative real numbers to stringent priority levels, known as priority degrees. As a result, we construct “intuitionistic fuzzy prioritized averaging operator with priority degrees” and “intuitionistic fuzzy prioritized geometric operator with priority degrees,” which are both prioritized operators. The attributes of the existing method are frequently compared to those of other current approaches, stressing the superiority of the provided work over other methods now in use. In addition, the impact of priority degrees on the overall result is thoroughly investigated. Furthermore, in the intuitionistic fuzzy set (IFS) context, a decision-making strategy is proposed based on these operators. To highlight the efficacy of the proposed approach, an illustrative example relating to the selection of the best choice is considered.http://dx.doi.org/10.1155/2022/4751835 |
spellingShingle | Ahmad N. Al-Kenani Rukhshanda Anjum Sahidul Islam Intuitionistic Fuzzy Prioritized Aggregation Operators Based on Priority Degrees with Application to Multicriteria Decision-Making Journal of Function Spaces |
title | Intuitionistic Fuzzy Prioritized Aggregation Operators Based on Priority Degrees with Application to Multicriteria Decision-Making |
title_full | Intuitionistic Fuzzy Prioritized Aggregation Operators Based on Priority Degrees with Application to Multicriteria Decision-Making |
title_fullStr | Intuitionistic Fuzzy Prioritized Aggregation Operators Based on Priority Degrees with Application to Multicriteria Decision-Making |
title_full_unstemmed | Intuitionistic Fuzzy Prioritized Aggregation Operators Based on Priority Degrees with Application to Multicriteria Decision-Making |
title_short | Intuitionistic Fuzzy Prioritized Aggregation Operators Based on Priority Degrees with Application to Multicriteria Decision-Making |
title_sort | intuitionistic fuzzy prioritized aggregation operators based on priority degrees with application to multicriteria decision making |
url | http://dx.doi.org/10.1155/2022/4751835 |
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