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...

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Main Authors: Muhammad Qiyas, Neelam Khan, Muhammad Naeem, Samuel Okyere
Format: Article
Language:English
Published: Hindawi Limited 2023-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2023/5839410
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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.
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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
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