A Hybridization of Modified Rough Bipolar Soft Sets and TOPSIS for MCGDM

Uncertain data is a challenge to decision-making (DM) problems. Multi-criteria group decision-making (MCGDM) problems are among these problems that have received much attention. MCGDM is difficult because the existing alternatives frequently conflict with each other. In this article, we suggest a no...

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Main Authors: Saba Ayub, Muhammad Shabir, Rizwan Gul
Format: Article
Language:English
Published: Naim Çağman 2023-03-01
Series:Journal of New Theory
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Online Access:https://dergipark.org.tr/en/download/article-file/2733107
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author Saba Ayub
Muhammad Shabir
Rizwan Gul
author_facet Saba Ayub
Muhammad Shabir
Rizwan Gul
author_sort Saba Ayub
collection DOAJ
description Uncertain data is a challenge to decision-making (DM) problems. Multi-criteria group decision-making (MCGDM) problems are among these problems that have received much attention. MCGDM is difficult because the existing alternatives frequently conflict with each other. In this article, we suggest a novel hybrid model for an MCGDM approach based on modified rough bipolar soft sets (MRBSs) using a well-known method of technique for order of preference by similarity to ideal solution (TOPSIS), which combines MRBSs theory and TOPSIS for the prioritization of alternatives in an uncertain environment. In this technique, we first introduce an aggregated parameter matrix with the help of modified bipolar soft lower and upper matrices to identify the positive and negative ideal solutions. After that, we define the separation measurements of these two solutions and compute relative closeness to choose the best alternative. Next, an application of the proposed technique in the MCGDM problem is introduced. Afterward, an algorithm for this application is developed, which is illustrated by a case study. The application demonstrates the usefulness and efficiency of the proposal. Compared to some existing studies, we additionally present several merits of our proposed technique. Eventually, the paper handles whether additional studies on these topics are needed.
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spelling doaj-art-97a66219cc3d4272a41fbdb148f1da1f2025-08-20T02:45:06ZengNaim ÇağmanJournal of New Theory2149-14022023-03-0142557310.53570/jnt.11950992425A Hybridization of Modified Rough Bipolar Soft Sets and TOPSIS for MCGDMSaba Ayub0https://orcid.org/0000-0002-6963-3127Muhammad Shabir1https://orcid.org/0000-0002-3161-8482Rizwan Gul2https://orcid.org/0000-0002-6139-1872Quaid-I-Azam UniversityQuaid-I-Azam universityQuaid-I-Azam UniversityUncertain data is a challenge to decision-making (DM) problems. Multi-criteria group decision-making (MCGDM) problems are among these problems that have received much attention. MCGDM is difficult because the existing alternatives frequently conflict with each other. In this article, we suggest a novel hybrid model for an MCGDM approach based on modified rough bipolar soft sets (MRBSs) using a well-known method of technique for order of preference by similarity to ideal solution (TOPSIS), which combines MRBSs theory and TOPSIS for the prioritization of alternatives in an uncertain environment. In this technique, we first introduce an aggregated parameter matrix with the help of modified bipolar soft lower and upper matrices to identify the positive and negative ideal solutions. After that, we define the separation measurements of these two solutions and compute relative closeness to choose the best alternative. Next, an application of the proposed technique in the MCGDM problem is introduced. Afterward, an algorithm for this application is developed, which is illustrated by a case study. The application demonstrates the usefulness and efficiency of the proposal. Compared to some existing studies, we additionally present several merits of our proposed technique. Eventually, the paper handles whether additional studies on these topics are needed.https://dergipark.org.tr/en/download/article-file/2733107bipolar soft setsbipolar soft rough setsmrbsstopsismcgdm
spellingShingle Saba Ayub
Muhammad Shabir
Rizwan Gul
A Hybridization of Modified Rough Bipolar Soft Sets and TOPSIS for MCGDM
Journal of New Theory
bipolar soft sets
bipolar soft rough sets
mrbss
topsis
mcgdm
title A Hybridization of Modified Rough Bipolar Soft Sets and TOPSIS for MCGDM
title_full A Hybridization of Modified Rough Bipolar Soft Sets and TOPSIS for MCGDM
title_fullStr A Hybridization of Modified Rough Bipolar Soft Sets and TOPSIS for MCGDM
title_full_unstemmed A Hybridization of Modified Rough Bipolar Soft Sets and TOPSIS for MCGDM
title_short A Hybridization of Modified Rough Bipolar Soft Sets and TOPSIS for MCGDM
title_sort hybridization of modified rough bipolar soft sets and topsis for mcgdm
topic bipolar soft sets
bipolar soft rough sets
mrbss
topsis
mcgdm
url https://dergipark.org.tr/en/download/article-file/2733107
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