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Applications of complex picture fuzzy soft power aggregation operators in multi-attribute decision making

The major theme of this analysis is to suggest a new theory in the form of complex picture fuzzy soft (CPFS) information and to initiate their major algebraic laws, score value, and accuracy values. The mathematical form of the CPFS set includes three main functions, called supporting, abstinence, a...

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Autores principales: Mahmood, Tahir, Ali, Zeeshan, Aslam, Muhammad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9525635/
https://www.ncbi.nlm.nih.gov/pubmed/36180458
http://dx.doi.org/10.1038/s41598-022-20239-y
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author Mahmood, Tahir
Ali, Zeeshan
Aslam, Muhammad
author_facet Mahmood, Tahir
Ali, Zeeshan
Aslam, Muhammad
author_sort Mahmood, Tahir
collection PubMed
description The major theme of this analysis is to suggest a new theory in the form of complex picture fuzzy soft (CPFS) information and to initiate their major algebraic laws, score value, and accuracy values. The mathematical form of the CPFS set includes three main functions, called supporting, abstinence, and supporting against terms with a prominent characteristic that the sum of the triplet will lie in the unit interval. Further, in the consideration of the power aggregation operator using generalized t-norm and t-conorm and CPFS information, we diagnosed the mathematical concept of CPFS power averaging (CPFSPA), CPFS weighted power averaging (CPFSWPA), CPFS ordered weighted power averaging (CPFSOWPA), CPFS power geometric (CPFSPG), CPFS weighted power geometric (CPFSWPG), CPFS ordered weighted power geometric (CPFSOWPG). Moreover, the major results and their particular investigation of the invented approaches are also deliberated. Additionally, in the consideration of diagnosed operators using CPFS information, we illustrated a MADM (“multi-attribute decision-making”) tool to find the best option from the family of decisions. Finally, we have shown the supremacy and feasibility of the diagnosed operators with the help of sensitive analysis and geometrical representations.
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spelling pubmed-95256352022-10-02 Applications of complex picture fuzzy soft power aggregation operators in multi-attribute decision making Mahmood, Tahir Ali, Zeeshan Aslam, Muhammad Sci Rep Article The major theme of this analysis is to suggest a new theory in the form of complex picture fuzzy soft (CPFS) information and to initiate their major algebraic laws, score value, and accuracy values. The mathematical form of the CPFS set includes three main functions, called supporting, abstinence, and supporting against terms with a prominent characteristic that the sum of the triplet will lie in the unit interval. Further, in the consideration of the power aggregation operator using generalized t-norm and t-conorm and CPFS information, we diagnosed the mathematical concept of CPFS power averaging (CPFSPA), CPFS weighted power averaging (CPFSWPA), CPFS ordered weighted power averaging (CPFSOWPA), CPFS power geometric (CPFSPG), CPFS weighted power geometric (CPFSWPG), CPFS ordered weighted power geometric (CPFSOWPG). Moreover, the major results and their particular investigation of the invented approaches are also deliberated. Additionally, in the consideration of diagnosed operators using CPFS information, we illustrated a MADM (“multi-attribute decision-making”) tool to find the best option from the family of decisions. Finally, we have shown the supremacy and feasibility of the diagnosed operators with the help of sensitive analysis and geometrical representations. Nature Publishing Group UK 2022-09-30 /pmc/articles/PMC9525635/ /pubmed/36180458 http://dx.doi.org/10.1038/s41598-022-20239-y Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Mahmood, Tahir
Ali, Zeeshan
Aslam, Muhammad
Applications of complex picture fuzzy soft power aggregation operators in multi-attribute decision making
title Applications of complex picture fuzzy soft power aggregation operators in multi-attribute decision making
title_full Applications of complex picture fuzzy soft power aggregation operators in multi-attribute decision making
title_fullStr Applications of complex picture fuzzy soft power aggregation operators in multi-attribute decision making
title_full_unstemmed Applications of complex picture fuzzy soft power aggregation operators in multi-attribute decision making
title_short Applications of complex picture fuzzy soft power aggregation operators in multi-attribute decision making
title_sort applications of complex picture fuzzy soft power aggregation operators in multi-attribute decision making
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9525635/
https://www.ncbi.nlm.nih.gov/pubmed/36180458
http://dx.doi.org/10.1038/s41598-022-20239-y
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