Robust Aggregation Operators for Intuitionistic Fuzzy Hypersoft Set with Their Application to Solve MCDM Problem
In this paper, we investigate the multi-criteria decision-making complications under intuitionistic fuzzy hypersoft set (IFHSS) information. The IFHSS is a proper extension of the intuitionistic fuzzy soft set (IFSS) which discusses the parametrization of multi-sub attributes of considered parameter...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-05-01
|
| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/23/6/688 |
| _version_ | 1797532125633708032 |
|---|---|
| author | Rana Muhammad Zulqarnain Imran Siddique Rifaqat Ali Dragan Pamucar Dragan Marinkovic Darko Bozanic |
| author_facet | Rana Muhammad Zulqarnain Imran Siddique Rifaqat Ali Dragan Pamucar Dragan Marinkovic Darko Bozanic |
| author_sort | Rana Muhammad Zulqarnain |
| collection | DOAJ |
| description | In this paper, we investigate the multi-criteria decision-making complications under intuitionistic fuzzy hypersoft set (IFHSS) information. The IFHSS is a proper extension of the intuitionistic fuzzy soft set (IFSS) which discusses the parametrization of multi-sub attributes of considered parameters, and accommodates more hesitation comparative to IFSS utilizing the multi sub-attributes of the considered parameters. The main objective of this research is to introduce operational laws for intuitionistic fuzzy hypersoft numbers (IFHSNs). Additionally, based on developed operational laws two aggregation operators (AOs), i.e., intuitionistic fuzzy hypersoft weighted average (IFHSWA) and intuitionistic fuzzy hypersoft weighted geometric (IFHSWG), operators have been presented with their fundamental properties. Furthermore, a decision-making approach has been established utilizing our developed aggregation operators (AOs). Through the established approach, a technique for solving decision-making (DM) complications is proposed to select sustainable suppliers in sustainable supply chain management (SSCM). Moreover, a numerical description is presented to ensure the validity and usability of the proposed technique in the DM process. The practicality, effectivity, and flexibility of the current approach are demonstrated through comparative analysis with the assistance of some prevailing studies. |
| first_indexed | 2024-03-10T10:54:41Z |
| format | Article |
| id | doaj.art-7efa6731533046a19d0ae01a8a978d8c |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T10:54:41Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-7efa6731533046a19d0ae01a8a978d8c2023-11-21T22:00:07ZengMDPI AGEntropy1099-43002021-05-0123668810.3390/e23060688Robust Aggregation Operators for Intuitionistic Fuzzy Hypersoft Set with Their Application to Solve MCDM ProblemRana Muhammad Zulqarnain0Imran Siddique1Rifaqat Ali2Dragan Pamucar3Dragan Marinkovic4Darko Bozanic5Department of Mathematics, University of Management and Technology, Sialkot Campus, Lahore 51310, PakistanDepartment of Mathematics, University of Management and Technology, Lahore 54770, PakistanDepartment of Mathematics, College of Science and Arts, Muhayil, King Khalid University, Abha 61413, Saudi ArabiaDepartment of Logistics, Military academy, University of Defence in Belgarde, Pavla Jurisica Sturma 33, 11000 Belgrade, SerbiaFaculty of Mechanical and Transport Systems, Technische Universität Berlin, 10623 Berlin, GermanyMilitary Academy, University of Defence in Belgarde, Pavla Jurisica Sturma 33, 11000 Belgrade, SerbiaIn this paper, we investigate the multi-criteria decision-making complications under intuitionistic fuzzy hypersoft set (IFHSS) information. The IFHSS is a proper extension of the intuitionistic fuzzy soft set (IFSS) which discusses the parametrization of multi-sub attributes of considered parameters, and accommodates more hesitation comparative to IFSS utilizing the multi sub-attributes of the considered parameters. The main objective of this research is to introduce operational laws for intuitionistic fuzzy hypersoft numbers (IFHSNs). Additionally, based on developed operational laws two aggregation operators (AOs), i.e., intuitionistic fuzzy hypersoft weighted average (IFHSWA) and intuitionistic fuzzy hypersoft weighted geometric (IFHSWG), operators have been presented with their fundamental properties. Furthermore, a decision-making approach has been established utilizing our developed aggregation operators (AOs). Through the established approach, a technique for solving decision-making (DM) complications is proposed to select sustainable suppliers in sustainable supply chain management (SSCM). Moreover, a numerical description is presented to ensure the validity and usability of the proposed technique in the DM process. The practicality, effectivity, and flexibility of the current approach are demonstrated through comparative analysis with the assistance of some prevailing studies.https://www.mdpi.com/1099-4300/23/6/688hypersoft setintuitionistic fuzzy soft setintuitionistic fuzzy hypersoft setIFHSWA operatorIFHSWG operatorSSCM |
| spellingShingle | Rana Muhammad Zulqarnain Imran Siddique Rifaqat Ali Dragan Pamucar Dragan Marinkovic Darko Bozanic Robust Aggregation Operators for Intuitionistic Fuzzy Hypersoft Set with Their Application to Solve MCDM Problem Entropy hypersoft set intuitionistic fuzzy soft set intuitionistic fuzzy hypersoft set IFHSWA operator IFHSWG operator SSCM |
| title | Robust Aggregation Operators for Intuitionistic Fuzzy Hypersoft Set with Their Application to Solve MCDM Problem |
| title_full | Robust Aggregation Operators for Intuitionistic Fuzzy Hypersoft Set with Their Application to Solve MCDM Problem |
| title_fullStr | Robust Aggregation Operators for Intuitionistic Fuzzy Hypersoft Set with Their Application to Solve MCDM Problem |
| title_full_unstemmed | Robust Aggregation Operators for Intuitionistic Fuzzy Hypersoft Set with Their Application to Solve MCDM Problem |
| title_short | Robust Aggregation Operators for Intuitionistic Fuzzy Hypersoft Set with Their Application to Solve MCDM Problem |
| title_sort | robust aggregation operators for intuitionistic fuzzy hypersoft set with their application to solve mcdm problem |
| topic | hypersoft set intuitionistic fuzzy soft set intuitionistic fuzzy hypersoft set IFHSWA operator IFHSWG operator SSCM |
| url | https://www.mdpi.com/1099-4300/23/6/688 |
| work_keys_str_mv | AT ranamuhammadzulqarnain robustaggregationoperatorsforintuitionisticfuzzyhypersoftsetwiththeirapplicationtosolvemcdmproblem AT imransiddique robustaggregationoperatorsforintuitionisticfuzzyhypersoftsetwiththeirapplicationtosolvemcdmproblem AT rifaqatali robustaggregationoperatorsforintuitionisticfuzzyhypersoftsetwiththeirapplicationtosolvemcdmproblem AT draganpamucar robustaggregationoperatorsforintuitionisticfuzzyhypersoftsetwiththeirapplicationtosolvemcdmproblem AT draganmarinkovic robustaggregationoperatorsforintuitionisticfuzzyhypersoftsetwiththeirapplicationtosolvemcdmproblem AT darkobozanic robustaggregationoperatorsforintuitionisticfuzzyhypersoftsetwiththeirapplicationtosolvemcdmproblem |