Decision-Making Based on Spherical Linear Diophantine Fuzzy Rough Aggregation Operators and EDAS Method
In everyday life, decision-making is a difficult task fraught with ambiguity and uncertainty. Many researchers and scholars have suggested numerous fuzzy set theories to resolve these ambiguities and uncertainties. The EDAS method (evaluation based on distance from average answer) is extremely benef...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2023-01-01
|
Series: | Journal of Mathematics |
Online Access: | http://dx.doi.org/10.1155/2023/5839410 |
_version_ | 1797383077849202688 |
---|---|
author | Muhammad Qiyas Neelam Khan Muhammad Naeem Samuel Okyere |
author_facet | Muhammad Qiyas Neelam Khan Muhammad Naeem Samuel Okyere |
author_sort | Muhammad Qiyas |
collection | DOAJ |
description | In everyday life, decision-making is a difficult task fraught with ambiguity and uncertainty. Many researchers and scholars have suggested numerous fuzzy set theories to resolve these ambiguities and uncertainties. The EDAS method (evaluation based on distance from average answer) is extremely beneficial in decision-making situations. In multi-attribute group decision-making (MAGDM) situations, this is especially true when there are more competing criteria. In this paper, we introduce the concept of spherical linear diophantine fuzzy rough sets (SLDFRSs). We develop basic operational laws and a number of propose aggregation operators. Furthermore, the necessary and desired features of SLDFRS are explored. This study proposes a new technique known as the spherical linear diophantine fuzzy rough set EDAS (SLDFRS-EDAS) method to deal with these uncertainties in the MAGDM problem. A MAGDM technique is intended to evaluate the emergency system based on the newly introduced operators. Furthermore, a comparison study of the activity and applicability of the suggested approach with earlier procedures is used to validate its viability and applicability. |
first_indexed | 2024-03-08T21:15:30Z |
format | Article |
id | doaj.art-af0b8d5373a74b70988d2a2d2314ba07 |
institution | Directory Open Access Journal |
issn | 2314-4785 |
language | English |
last_indexed | 2024-03-08T21:15:30Z |
publishDate | 2023-01-01 |
publisher | Hindawi Limited |
record_format | Article |
series | Journal of Mathematics |
spelling | doaj.art-af0b8d5373a74b70988d2a2d2314ba072023-12-22T00:00:36ZengHindawi LimitedJournal of Mathematics2314-47852023-01-01202310.1155/2023/5839410Decision-Making Based on Spherical Linear Diophantine Fuzzy Rough Aggregation Operators and EDAS MethodMuhammad Qiyas0Neelam Khan1Muhammad Naeem2Samuel Okyere3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIn everyday life, decision-making is a difficult task fraught with ambiguity and uncertainty. Many researchers and scholars have suggested numerous fuzzy set theories to resolve these ambiguities and uncertainties. The EDAS method (evaluation based on distance from average answer) is extremely beneficial in decision-making situations. In multi-attribute group decision-making (MAGDM) situations, this is especially true when there are more competing criteria. In this paper, we introduce the concept of spherical linear diophantine fuzzy rough sets (SLDFRSs). We develop basic operational laws and a number of propose aggregation operators. Furthermore, the necessary and desired features of SLDFRS are explored. This study proposes a new technique known as the spherical linear diophantine fuzzy rough set EDAS (SLDFRS-EDAS) method to deal with these uncertainties in the MAGDM problem. A MAGDM technique is intended to evaluate the emergency system based on the newly introduced operators. Furthermore, a comparison study of the activity and applicability of the suggested approach with earlier procedures is used to validate its viability and applicability.http://dx.doi.org/10.1155/2023/5839410 |
spellingShingle | Muhammad Qiyas Neelam Khan Muhammad Naeem Samuel Okyere Decision-Making Based on Spherical Linear Diophantine Fuzzy Rough Aggregation Operators and EDAS Method Journal of Mathematics |
title | Decision-Making Based on Spherical Linear Diophantine Fuzzy Rough Aggregation Operators and EDAS Method |
title_full | Decision-Making Based on Spherical Linear Diophantine Fuzzy Rough Aggregation Operators and EDAS Method |
title_fullStr | Decision-Making Based on Spherical Linear Diophantine Fuzzy Rough Aggregation Operators and EDAS Method |
title_full_unstemmed | Decision-Making Based on Spherical Linear Diophantine Fuzzy Rough Aggregation Operators and EDAS Method |
title_short | Decision-Making Based on Spherical Linear Diophantine Fuzzy Rough Aggregation Operators and EDAS Method |
title_sort | decision making based on spherical linear diophantine fuzzy rough aggregation operators and edas method |
url | http://dx.doi.org/10.1155/2023/5839410 |
work_keys_str_mv | AT muhammadqiyas decisionmakingbasedonsphericallineardiophantinefuzzyroughaggregationoperatorsandedasmethod AT neelamkhan decisionmakingbasedonsphericallineardiophantinefuzzyroughaggregationoperatorsandedasmethod AT muhammadnaeem decisionmakingbasedonsphericallineardiophantinefuzzyroughaggregationoperatorsandedasmethod AT samuelokyere decisionmakingbasedonsphericallineardiophantinefuzzyroughaggregationoperatorsandedasmethod |