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New aggregation operators on group-based generalized intuitionistic fuzzy soft sets
The approach of dealing with uncertainty is enhancing day-by-day with new rudiments and tools which possess their specific qualities. Usually, aggregation operators can easily manage the information in an exact manner. But each operator has different specifications in each problem. In recent few yea...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Berlin Heidelberg
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8436882/ https://www.ncbi.nlm.nih.gov/pubmed/34539233 http://dx.doi.org/10.1007/s00500-021-06181-7 |
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author | Hayat, Khizar Tariq, Zalishta Lughofer, Edwin Aslam, M. Fahim |
author_facet | Hayat, Khizar Tariq, Zalishta Lughofer, Edwin Aslam, M. Fahim |
author_sort | Hayat, Khizar |
collection | PubMed |
description | The approach of dealing with uncertainty is enhancing day-by-day with new rudiments and tools which possess their specific qualities. Usually, aggregation operators can easily manage the information in an exact manner. But each operator has different specifications in each problem. In recent few years, aggregation operators on intuitionistic fuzzy soft sets (IFSSs) or generalized intuitionistic fuzzy soft sets (GIFSSs) have been investigated but a lot of improvement is needed to obtain more accurate results. In this research, we defined new aggregation operators on GIFSSs which are used to aggregate our multi-criteria decision-making method. Reasonably, we assigned the weights with both intuitionistic fuzzy values of IFSS and intuitionistic fuzzy values of extra input in a GIFSS, and then by establishing new aggregation operators we appraised the computation in a more precise way. We defined the necessary properties of new aggregation operators and preparatory work of decision making in an algorithm. Then we expressed a real-life application by dint of the proposed methodology. Finally, we presented the comparisons of our work with already existing methods and techniques comprising aggregation operators. |
format | Online Article Text |
id | pubmed-8436882 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Springer Berlin Heidelberg |
record_format | MEDLINE/PubMed |
spelling | pubmed-84368822021-09-14 New aggregation operators on group-based generalized intuitionistic fuzzy soft sets Hayat, Khizar Tariq, Zalishta Lughofer, Edwin Aslam, M. Fahim Soft comput Fuzzy Systems and Their Mathematics The approach of dealing with uncertainty is enhancing day-by-day with new rudiments and tools which possess their specific qualities. Usually, aggregation operators can easily manage the information in an exact manner. But each operator has different specifications in each problem. In recent few years, aggregation operators on intuitionistic fuzzy soft sets (IFSSs) or generalized intuitionistic fuzzy soft sets (GIFSSs) have been investigated but a lot of improvement is needed to obtain more accurate results. In this research, we defined new aggregation operators on GIFSSs which are used to aggregate our multi-criteria decision-making method. Reasonably, we assigned the weights with both intuitionistic fuzzy values of IFSS and intuitionistic fuzzy values of extra input in a GIFSS, and then by establishing new aggregation operators we appraised the computation in a more precise way. We defined the necessary properties of new aggregation operators and preparatory work of decision making in an algorithm. Then we expressed a real-life application by dint of the proposed methodology. Finally, we presented the comparisons of our work with already existing methods and techniques comprising aggregation operators. Springer Berlin Heidelberg 2021-09-13 2021 /pmc/articles/PMC8436882/ /pubmed/34539233 http://dx.doi.org/10.1007/s00500-021-06181-7 Text en © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic. |
spellingShingle | Fuzzy Systems and Their Mathematics Hayat, Khizar Tariq, Zalishta Lughofer, Edwin Aslam, M. Fahim New aggregation operators on group-based generalized intuitionistic fuzzy soft sets |
title | New aggregation operators on group-based generalized intuitionistic fuzzy soft sets |
title_full | New aggregation operators on group-based generalized intuitionistic fuzzy soft sets |
title_fullStr | New aggregation operators on group-based generalized intuitionistic fuzzy soft sets |
title_full_unstemmed | New aggregation operators on group-based generalized intuitionistic fuzzy soft sets |
title_short | New aggregation operators on group-based generalized intuitionistic fuzzy soft sets |
title_sort | new aggregation operators on group-based generalized intuitionistic fuzzy soft sets |
topic | Fuzzy Systems and Their Mathematics |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8436882/ https://www.ncbi.nlm.nih.gov/pubmed/34539233 http://dx.doi.org/10.1007/s00500-021-06181-7 |
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