Interval Valued Picture Fuzzy Aczel–Alsina Aggregation Operators and Their Application by Using the Multiattribute Decision Making Problem
The engineering and construction sector is vital to a country’s economic growth, financial activities, and development. These sectors generate opportunities for the unemployed, unskilled, and skilled workforce. Recently, a lot of researchers worked on the Aczel–Alsina t-norm (TN) a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/1707867 |
| _version_ | 1797866141119414272 |
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| author | Khalida Jabeen Kifayat Ullah Maria Akram Izatmand Haleemzai |
| author_facet | Khalida Jabeen Kifayat Ullah Maria Akram Izatmand Haleemzai |
| author_sort | Khalida Jabeen |
| collection | DOAJ |
| description | The engineering and construction sector is vital to a country’s economic
growth, financial activities, and development. These sectors generate
opportunities for the unemployed, unskilled, and skilled workforce. Recently, a
lot of researchers worked on the Aczel–Alsina t-norm (TN) and t-conorm
(TCN), which are generalizing many other t-norms and producing reliable results.
In this article, first, we developed some new aggregation operators (AOs) and
fundamental operational laws of Aczel–Alsina operations, including
Aczel–Alsina product, sum, and scalar multiplication based on the IVPF
information. Furthermore, we introduced an innovative AOs in the form of IVPF
Aczel–Alsina weighted averaging (IVPFAAWA) operators with some basic
characteristics. Moreover, we also generalized Aczel–Alsina operations in
the form of the IVPF Aczel–Alsina weighted geometric (IVPFAAWG) operator.
For the solution of daily life problems by utilizing a multiattribute
decision-making (MADM) approach, we also established an application under the
system of engineering and construction sectors. We illustrated a numerical
example to find the suitable construction material for the engineering and
construction sectors. To find the validity and flexibility of our proposed AOs,
we also studied a comprehensive comparative analysis, in which we compared the
results of exiting AOs with the results of our current invented approaches. At
the end, we sum up our whole article in a single paragraph. |
| first_indexed | 2024-04-09T23:20:23Z |
| format | Article |
| id | doaj.art-1cc2848ce5c24d7c84e2b256ec1ba76a |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2024-04-09T23:20:23Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-1cc2848ce5c24d7c84e2b256ec1ba76a2023-03-22T00:00:09ZengHindawi LimitedJournal of Mathematics2314-47852023-01-01202310.1155/2023/1707867Interval Valued Picture Fuzzy Aczel–Alsina Aggregation Operators and Their Application by Using the Multiattribute Decision Making ProblemKhalida Jabeen0Kifayat Ullah1Maria Akram2Izatmand Haleemzai3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThe engineering and construction sector is vital to a country’s economic growth, financial activities, and development. These sectors generate opportunities for the unemployed, unskilled, and skilled workforce. Recently, a lot of researchers worked on the Aczel–Alsina t-norm (TN) and t-conorm (TCN), which are generalizing many other t-norms and producing reliable results. In this article, first, we developed some new aggregation operators (AOs) and fundamental operational laws of Aczel–Alsina operations, including Aczel–Alsina product, sum, and scalar multiplication based on the IVPF information. Furthermore, we introduced an innovative AOs in the form of IVPF Aczel–Alsina weighted averaging (IVPFAAWA) operators with some basic characteristics. Moreover, we also generalized Aczel–Alsina operations in the form of the IVPF Aczel–Alsina weighted geometric (IVPFAAWG) operator. For the solution of daily life problems by utilizing a multiattribute decision-making (MADM) approach, we also established an application under the system of engineering and construction sectors. We illustrated a numerical example to find the suitable construction material for the engineering and construction sectors. To find the validity and flexibility of our proposed AOs, we also studied a comprehensive comparative analysis, in which we compared the results of exiting AOs with the results of our current invented approaches. At the end, we sum up our whole article in a single paragraph.http://dx.doi.org/10.1155/2023/1707867 |
| spellingShingle | Khalida Jabeen Kifayat Ullah Maria Akram Izatmand Haleemzai Interval Valued Picture Fuzzy Aczel–Alsina Aggregation Operators and Their Application by Using the Multiattribute Decision Making Problem Journal of Mathematics |
| title | Interval Valued Picture Fuzzy Aczel–Alsina Aggregation
Operators and Their Application by Using the Multiattribute Decision Making
Problem |
| title_full | Interval Valued Picture Fuzzy Aczel–Alsina Aggregation
Operators and Their Application by Using the Multiattribute Decision Making
Problem |
| title_fullStr | Interval Valued Picture Fuzzy Aczel–Alsina Aggregation
Operators and Their Application by Using the Multiattribute Decision Making
Problem |
| title_full_unstemmed | Interval Valued Picture Fuzzy Aczel–Alsina Aggregation
Operators and Their Application by Using the Multiattribute Decision Making
Problem |
| title_short | Interval Valued Picture Fuzzy Aczel–Alsina Aggregation
Operators and Their Application by Using the Multiattribute Decision Making
Problem |
| title_sort | interval valued picture fuzzy aczel alsina aggregation operators and their application by using the multiattribute decision making problem |
| url | http://dx.doi.org/10.1155/2023/1707867 |
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