An Approach for the Assessment of Multi-National Companies Using a Multi-Attribute Decision Making Process Based on Interval Valued Spherical Fuzzy Maclaurin Symmetric Mean Operators

Many fuzzy concepts have been researched and described with uncertain information. Collecting data under uncertain information is a difficult task, especially when there is a difference between the opinions of experts. To deal with such situations, different types of operators have been introduced....

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Main Authors: Ansa Ashraf, Kifayat Ullah, Darko Božanić, Amir Hussain, Haolun Wang, Adis Puška
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/12/1/4
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author Ansa Ashraf
Kifayat Ullah
Darko Božanić
Amir Hussain
Haolun Wang
Adis Puška
author_facet Ansa Ashraf
Kifayat Ullah
Darko Božanić
Amir Hussain
Haolun Wang
Adis Puška
author_sort Ansa Ashraf
collection DOAJ
description Many fuzzy concepts have been researched and described with uncertain information. Collecting data under uncertain information is a difficult task, especially when there is a difference between the opinions of experts. To deal with such situations, different types of operators have been introduced. This paper aims to develop the Maclaurin symmetric mean (MSM) operator for the information in the shape of the interval-valued spherical fuzzy set (IVSFS). In this article, a family of aggregation operators (AOs) is proposed which consists of interval valued spherical fuzzy Maclaurin symmetric mean operator (IVSFMSM), interval valued spherical fuzzy weighted Maclaurin symmetric mean (IVSFWMSM), interval valued spherical fuzzy dual Maclaurin symmetric mean (IVSFDMSM), and interval valued spherical fuzzy dual weighted Maclaurin symmetric mean (IVSFDWMSM) operators. In this paper, we studied an elucidative example to discuss the evaluation of multi-national companies for the application of the proposed operator. Then the obtained results from the proposed operators are compared. The results obtained are graphed and tabulated for a better understanding.
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spelling doaj.art-25b1f6f34c5d40d2ad64c2a149c031962023-11-30T21:10:57ZengMDPI AGAxioms2075-16802022-12-01121410.3390/axioms12010004An Approach for the Assessment of Multi-National Companies Using a Multi-Attribute Decision Making Process Based on Interval Valued Spherical Fuzzy Maclaurin Symmetric Mean OperatorsAnsa Ashraf0Kifayat Ullah1Darko Božanić2Amir Hussain3Haolun Wang4Adis Puška5Department of Mathematics, Riphah International University Lahore, Lahore 54000, PakistanDepartment of Mathematics, Riphah International University Lahore, Lahore 54000, PakistanMilitary Academy, University of Defence in Belgarde, 11000 Belgrade, SerbiaDepartment of Mathematics, Riphah International University Lahore, Lahore 54000, PakistanSchool of Economics and Management, Nanchang Hangkong Universtiy, Nanchang 330063, ChinaGovernment of the Brčko District of Bosnia and Herzegovina, Department of Public Safety, 76100 Brčko, Bosnia and HerzegovinaMany fuzzy concepts have been researched and described with uncertain information. Collecting data under uncertain information is a difficult task, especially when there is a difference between the opinions of experts. To deal with such situations, different types of operators have been introduced. This paper aims to develop the Maclaurin symmetric mean (MSM) operator for the information in the shape of the interval-valued spherical fuzzy set (IVSFS). In this article, a family of aggregation operators (AOs) is proposed which consists of interval valued spherical fuzzy Maclaurin symmetric mean operator (IVSFMSM), interval valued spherical fuzzy weighted Maclaurin symmetric mean (IVSFWMSM), interval valued spherical fuzzy dual Maclaurin symmetric mean (IVSFDMSM), and interval valued spherical fuzzy dual weighted Maclaurin symmetric mean (IVSFDWMSM) operators. In this paper, we studied an elucidative example to discuss the evaluation of multi-national companies for the application of the proposed operator. Then the obtained results from the proposed operators are compared. The results obtained are graphed and tabulated for a better understanding.https://www.mdpi.com/2075-1680/12/1/4aggregation operatorsdecision-makinginterval-valued spherical fuzzy setMaclaurin symmetric mean
spellingShingle Ansa Ashraf
Kifayat Ullah
Darko Božanić
Amir Hussain
Haolun Wang
Adis Puška
An Approach for the Assessment of Multi-National Companies Using a Multi-Attribute Decision Making Process Based on Interval Valued Spherical Fuzzy Maclaurin Symmetric Mean Operators
Axioms
aggregation operators
decision-making
interval-valued spherical fuzzy set
Maclaurin symmetric mean
title An Approach for the Assessment of Multi-National Companies Using a Multi-Attribute Decision Making Process Based on Interval Valued Spherical Fuzzy Maclaurin Symmetric Mean Operators
title_full An Approach for the Assessment of Multi-National Companies Using a Multi-Attribute Decision Making Process Based on Interval Valued Spherical Fuzzy Maclaurin Symmetric Mean Operators
title_fullStr An Approach for the Assessment of Multi-National Companies Using a Multi-Attribute Decision Making Process Based on Interval Valued Spherical Fuzzy Maclaurin Symmetric Mean Operators
title_full_unstemmed An Approach for the Assessment of Multi-National Companies Using a Multi-Attribute Decision Making Process Based on Interval Valued Spherical Fuzzy Maclaurin Symmetric Mean Operators
title_short An Approach for the Assessment of Multi-National Companies Using a Multi-Attribute Decision Making Process Based on Interval Valued Spherical Fuzzy Maclaurin Symmetric Mean Operators
title_sort approach for the assessment of multi national companies using a multi attribute decision making process based on interval valued spherical fuzzy maclaurin symmetric mean operators
topic aggregation operators
decision-making
interval-valued spherical fuzzy set
Maclaurin symmetric mean
url https://www.mdpi.com/2075-1680/12/1/4
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