Similarity Measures Based on q-Rung Linear Diophantine Fuzzy Sets and Their Application in Logistics and Supply Chain Management

With the frequent occurrence of emergency events, decision-making (DM) plays an increasingly significant role in coping with them and has become an important and the challenging research focus recently. It is critical for decision makers to make accurate and reasonable emergency judgments in a short...

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Main Authors: Muhammad Qiyas, Muhammad Naeem, Saleem Abdullah, Neelam Khan, Asad Ali
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/4912964
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author Muhammad Qiyas
Muhammad Naeem
Saleem Abdullah
Neelam Khan
Asad Ali
author_facet Muhammad Qiyas
Muhammad Naeem
Saleem Abdullah
Neelam Khan
Asad Ali
author_sort Muhammad Qiyas
collection DOAJ
description With the frequent occurrence of emergency events, decision-making (DM) plays an increasingly significant role in coping with them and has become an important and the challenging research focus recently. It is critical for decision makers to make accurate and reasonable emergency judgments in a short period as poor decisions can result in enormous economic losses and an unstable social order. As a consequence, this work offers a new DM approach based on novel distance and similarity measures using q-rung linear Diophantine fuzzy (q-RLDF) information to assure that DM problems may be addressed successfully and fast. One of the useful methods for determining the degree of similarity between the objects is the similarity measure. In this paper, we propose some new q-rung linear Diophantine fuzzy (q-ROLDF) distances and similarity measures. The Jaccard similarity measure, exponential similarity measure, and cosine and cotangent function-based similarity measures are proposed for q-LDFSs. The defined similarity measures are applied to the logistics and supply chain management problem, and the results are discussed. A comparison of new similarity measures is developed, and the proposed work’s advantages are discussed.
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institution Kabale University
issn 2314-4785
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record_format Article
series Journal of Mathematics
spelling doaj-art-450a70de314442ca959ef9c6e37405182025-02-03T01:24:44ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/4912964Similarity Measures Based on q-Rung Linear Diophantine Fuzzy Sets and Their Application in Logistics and Supply Chain ManagementMuhammad Qiyas0Muhammad Naeem1Saleem Abdullah2Neelam Khan3Asad Ali4Department of MathematicsDeanship of Combined First YearDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsWith the frequent occurrence of emergency events, decision-making (DM) plays an increasingly significant role in coping with them and has become an important and the challenging research focus recently. It is critical for decision makers to make accurate and reasonable emergency judgments in a short period as poor decisions can result in enormous economic losses and an unstable social order. As a consequence, this work offers a new DM approach based on novel distance and similarity measures using q-rung linear Diophantine fuzzy (q-RLDF) information to assure that DM problems may be addressed successfully and fast. One of the useful methods for determining the degree of similarity between the objects is the similarity measure. In this paper, we propose some new q-rung linear Diophantine fuzzy (q-ROLDF) distances and similarity measures. The Jaccard similarity measure, exponential similarity measure, and cosine and cotangent function-based similarity measures are proposed for q-LDFSs. The defined similarity measures are applied to the logistics and supply chain management problem, and the results are discussed. A comparison of new similarity measures is developed, and the proposed work’s advantages are discussed.http://dx.doi.org/10.1155/2022/4912964
spellingShingle Muhammad Qiyas
Muhammad Naeem
Saleem Abdullah
Neelam Khan
Asad Ali
Similarity Measures Based on q-Rung Linear Diophantine Fuzzy Sets and Their Application in Logistics and Supply Chain Management
Journal of Mathematics
title Similarity Measures Based on q-Rung Linear Diophantine Fuzzy Sets and Their Application in Logistics and Supply Chain Management
title_full Similarity Measures Based on q-Rung Linear Diophantine Fuzzy Sets and Their Application in Logistics and Supply Chain Management
title_fullStr Similarity Measures Based on q-Rung Linear Diophantine Fuzzy Sets and Their Application in Logistics and Supply Chain Management
title_full_unstemmed Similarity Measures Based on q-Rung Linear Diophantine Fuzzy Sets and Their Application in Logistics and Supply Chain Management
title_short Similarity Measures Based on q-Rung Linear Diophantine Fuzzy Sets and Their Application in Logistics and Supply Chain Management
title_sort similarity measures based on q rung linear diophantine fuzzy sets and their application in logistics and supply chain management
url http://dx.doi.org/10.1155/2022/4912964
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AT saleemabdullah similaritymeasuresbasedonqrunglineardiophantinefuzzysetsandtheirapplicationinlogisticsandsupplychainmanagement
AT neelamkhan similaritymeasuresbasedonqrunglineardiophantinefuzzysetsandtheirapplicationinlogisticsandsupplychainmanagement
AT asadali similaritymeasuresbasedonqrunglineardiophantinefuzzysetsandtheirapplicationinlogisticsandsupplychainmanagement