Power Aggregation Operators Based on t-Norm and t-Conorm under the Complex Intuitionistic Fuzzy Soft Settings and Their Application in Multi-Attribute Decision Making

Multi-attribute decision-making (MADM) is commonly used to investigate fuzzy information effectively. However, selecting the best alternative information is not always symmetric because the alternatives do not have complete information, so asymmetric information is often involved. In this analysis,...

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Autores principales:	Zeeshan Ali, Tahir Mahmood, Kifayat Ullah, Dragan Pamucar, Goran Cirovic
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	complex intuitionistic fuzzy soft sets power aggregation operators decision-making techniques Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/15fcfaf1bdcf4e31b55f53bc0b6a0a1d
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spelling	oai:doaj.org-article:15fcfaf1bdcf4e31b55f53bc0b6a0a1d2021-11-25T19:05:48ZPower Aggregation Operators Based on t-Norm and t-Conorm under the Complex Intuitionistic Fuzzy Soft Settings and Their Application in Multi-Attribute Decision Making10.3390/sym131119862073-8994https://doaj.org/article/15fcfaf1bdcf4e31b55f53bc0b6a0a1d2021-10-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/1986https://doaj.org/toc/2073-8994Multi-attribute decision-making (MADM) is commonly used to investigate fuzzy information effectively. However, selecting the best alternative information is not always symmetric because the alternatives do not have complete information, so asymmetric information is often involved. In this analysis, we use the massive dominant and more consistent principle of power aggregation operators (PAOs) based on general t-norm and t-conorm, which manage awkward and inconsistent data in real-world dilemmas such as medical diagnosis, pattern recognition, cleaner production evaluation in gold mines, the analysis of the cancer risk factor, etc. The principle of averaging, geometric, Einstein, and Hamacher aggregation operators are specific cases of generalized PAOs. We combine the principle of complex intuitionistic fuzzy soft (CIFS) information with PAOs to initiate CIFS power averaging (CIFSPA), CIFS weighted power averaging (CIFSWPA), CIFS ordered weighted power averaging (CIFSOWPA), CIFS power geometric (CIFSPG), CIFS weighted power geometric (CIFSWPG), and CIFS ordered weighted power geometric (CIFSOWPG), and their flexible laws are elaborated. Certain specific cases (such as averaging, Einstein, and Hamacher operators) of the explored operators are also illustrated with the help of different t-norm and t-conorm operators. A MADM process is presented under the developed operators based on the CIFS environment. Finally, to investigate the supremacy of the demonstrated works, we employed a sensitivity analysis and geometrical expressions of the initiated operators with numerous prevailing works to verify the efficiency of the proposed works. This manuscript shows how to make decisions when there is asymmetric information about enterprises.Zeeshan AliTahir MahmoodKifayat UllahDragan PamucarGoran CirovicMDPI AGarticlecomplex intuitionistic fuzzy soft setspower aggregation operatorsdecision-making techniquesMathematicsQA1-939ENSymmetry, Vol 13, Iss 1986, p 1986 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	complex intuitionistic fuzzy soft sets power aggregation operators decision-making techniques Mathematics QA1-939
spellingShingle	complex intuitionistic fuzzy soft sets power aggregation operators decision-making techniques Mathematics QA1-939 Zeeshan Ali Tahir Mahmood Kifayat Ullah Dragan Pamucar Goran Cirovic Power Aggregation Operators Based on t-Norm and t-Conorm under the Complex Intuitionistic Fuzzy Soft Settings and Their Application in Multi-Attribute Decision Making
description	Multi-attribute decision-making (MADM) is commonly used to investigate fuzzy information effectively. However, selecting the best alternative information is not always symmetric because the alternatives do not have complete information, so asymmetric information is often involved. In this analysis, we use the massive dominant and more consistent principle of power aggregation operators (PAOs) based on general t-norm and t-conorm, which manage awkward and inconsistent data in real-world dilemmas such as medical diagnosis, pattern recognition, cleaner production evaluation in gold mines, the analysis of the cancer risk factor, etc. The principle of averaging, geometric, Einstein, and Hamacher aggregation operators are specific cases of generalized PAOs. We combine the principle of complex intuitionistic fuzzy soft (CIFS) information with PAOs to initiate CIFS power averaging (CIFSPA), CIFS weighted power averaging (CIFSWPA), CIFS ordered weighted power averaging (CIFSOWPA), CIFS power geometric (CIFSPG), CIFS weighted power geometric (CIFSWPG), and CIFS ordered weighted power geometric (CIFSOWPG), and their flexible laws are elaborated. Certain specific cases (such as averaging, Einstein, and Hamacher operators) of the explored operators are also illustrated with the help of different t-norm and t-conorm operators. A MADM process is presented under the developed operators based on the CIFS environment. Finally, to investigate the supremacy of the demonstrated works, we employed a sensitivity analysis and geometrical expressions of the initiated operators with numerous prevailing works to verify the efficiency of the proposed works. This manuscript shows how to make decisions when there is asymmetric information about enterprises.
format	article
author	Zeeshan Ali Tahir Mahmood Kifayat Ullah Dragan Pamucar Goran Cirovic
author_facet	Zeeshan Ali Tahir Mahmood Kifayat Ullah Dragan Pamucar Goran Cirovic
author_sort	Zeeshan Ali
title	Power Aggregation Operators Based on t-Norm and t-Conorm under the Complex Intuitionistic Fuzzy Soft Settings and Their Application in Multi-Attribute Decision Making
title_short	Power Aggregation Operators Based on t-Norm and t-Conorm under the Complex Intuitionistic Fuzzy Soft Settings and Their Application in Multi-Attribute Decision Making
title_full	Power Aggregation Operators Based on t-Norm and t-Conorm under the Complex Intuitionistic Fuzzy Soft Settings and Their Application in Multi-Attribute Decision Making
title_fullStr	Power Aggregation Operators Based on t-Norm and t-Conorm under the Complex Intuitionistic Fuzzy Soft Settings and Their Application in Multi-Attribute Decision Making
title_full_unstemmed	Power Aggregation Operators Based on t-Norm and t-Conorm under the Complex Intuitionistic Fuzzy Soft Settings and Their Application in Multi-Attribute Decision Making
title_sort	power aggregation operators based on t-norm and t-conorm under the complex intuitionistic fuzzy soft settings and their application in multi-attribute decision making
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/15fcfaf1bdcf4e31b55f53bc0b6a0a1d
work_keys_str_mv	AT zeeshanali poweraggregationoperatorsbasedontnormandtconormunderthecomplexintuitionisticfuzzysoftsettingsandtheirapplicationinmultiattributedecisionmaking AT tahirmahmood poweraggregationoperatorsbasedontnormandtconormunderthecomplexintuitionisticfuzzysoftsettingsandtheirapplicationinmultiattributedecisionmaking AT kifayatullah poweraggregationoperatorsbasedontnormandtconormunderthecomplexintuitionisticfuzzysoftsettingsandtheirapplicationinmultiattributedecisionmaking AT draganpamucar poweraggregationoperatorsbasedontnormandtconormunderthecomplexintuitionisticfuzzysoftsettingsandtheirapplicationinmultiattributedecisionmaking AT gorancirovic poweraggregationoperatorsbasedontnormandtconormunderthecomplexintuitionisticfuzzysoftsettingsandtheirapplicationinmultiattributedecisionmaking
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Power Aggregation Operators Based on t-Norm and t-Conorm under the Complex Intuitionistic Fuzzy Soft Settings and Their Application in Multi-Attribute Decision Making

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