Novel intuitionistic fuzzy Aczel Alsina Hamy mean operators and their applications in the assessment of construction material
Abstract Aggregation operators (AOs) are utilized to overcome the effects of attributes under some specific degree of weight in the decision-making (DM) process. The AOs have a large capacity to deal with uncertain and unpredictable information in multi-attribute decision-making (MADM) problems. The...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Springer
2023-08-01
|
| Series: | Complex & Intelligent Systems |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s40747-023-01116-1 |
| _version_ | 1797272245538652160 |
|---|---|
| author | Abrar Hussain Haolun Wang Kifayat Ullah Dragan Pamucar |
| author_facet | Abrar Hussain Haolun Wang Kifayat Ullah Dragan Pamucar |
| author_sort | Abrar Hussain |
| collection | DOAJ |
| description | Abstract Aggregation operators (AOs) are utilized to overcome the effects of attributes under some specific degree of weight in the decision-making (DM) process. The AOs have a large capacity to deal with uncertain and unpredictable information in multi-attribute decision-making (MADM) problems. The Hamy mean (HM) aggregation tools are well-known aggregation models, which are utilized to define correlation among different input arguments adequately. The intuitionistic fuzzy (IF) sets (IFS) can express unpredictable and vague information. The Aczel Alsina aggregation expressions are extensions of triangular norms. Recently, Aczel Alsina aggregation tools attained a lot of attentions from numerous research scholars. By inspiring the robustness and reliability of Aczel Alsina aggregation tools, we expose some appropriate operations of Aczel Alsina expressions under consideration of IF information. In this manuscript, we developed an intuitionistic fuzzy Aczel Alsina HM (IFAAHM) and an intuitionistic fuzzy Aczel Alsina weighted HM (IFAAWHM) operator. We also expressed the theory of Dual HM (DHM) tools and established a series of new approaches including intuitionistic fuzzy Aczel Alsina Dual HM (IFAADHM) and intuitionistic fuzzy Aczel Alsina weighted Dual HM (IFAAWDHM) operators. Some reliable characteristics and special cases of our derived approaches are also presented. The authors solved an application of a MADM technique under consideration of our derived approaches. To check the reliability and dependency of our derived mythologies, we gave an experimental case study to evaluate a desirable construction material based on some specific criteria of different Alternatives. To see the advantages and compatibility of our derived approaches, by comparing the results of existing approaches with the results of currently discussed AOs. |
| first_indexed | 2024-03-07T14:25:36Z |
| format | Article |
| id | doaj.art-cf50b70eae10454d883bccda2936a1e9 |
| institution | Directory Open Access Journal |
| issn | 2199-4536 2198-6053 |
| language | English |
| last_indexed | 2024-03-07T14:25:36Z |
| publishDate | 2023-08-01 |
| publisher | Springer |
| record_format | Article |
| series | Complex & Intelligent Systems |
| spelling | doaj.art-cf50b70eae10454d883bccda2936a1e92024-03-06T08:07:26ZengSpringerComplex & Intelligent Systems2199-45362198-60532023-08-011011061108610.1007/s40747-023-01116-1Novel intuitionistic fuzzy Aczel Alsina Hamy mean operators and their applications in the assessment of construction materialAbrar Hussain0Haolun Wang1Kifayat Ullah2Dragan Pamucar3Department of Mathematics, Riphah International University (Lahore Campus)School of Economics and Management, Nanchang Hangkong UniversityDepartment of Mathematics, Riphah International University (Lahore Campus)Department of Operations Research and Statistics, Faculty of Organizational Sciences, University of BelgradeAbstract Aggregation operators (AOs) are utilized to overcome the effects of attributes under some specific degree of weight in the decision-making (DM) process. The AOs have a large capacity to deal with uncertain and unpredictable information in multi-attribute decision-making (MADM) problems. The Hamy mean (HM) aggregation tools are well-known aggregation models, which are utilized to define correlation among different input arguments adequately. The intuitionistic fuzzy (IF) sets (IFS) can express unpredictable and vague information. The Aczel Alsina aggregation expressions are extensions of triangular norms. Recently, Aczel Alsina aggregation tools attained a lot of attentions from numerous research scholars. By inspiring the robustness and reliability of Aczel Alsina aggregation tools, we expose some appropriate operations of Aczel Alsina expressions under consideration of IF information. In this manuscript, we developed an intuitionistic fuzzy Aczel Alsina HM (IFAAHM) and an intuitionistic fuzzy Aczel Alsina weighted HM (IFAAWHM) operator. We also expressed the theory of Dual HM (DHM) tools and established a series of new approaches including intuitionistic fuzzy Aczel Alsina Dual HM (IFAADHM) and intuitionistic fuzzy Aczel Alsina weighted Dual HM (IFAAWDHM) operators. Some reliable characteristics and special cases of our derived approaches are also presented. The authors solved an application of a MADM technique under consideration of our derived approaches. To check the reliability and dependency of our derived mythologies, we gave an experimental case study to evaluate a desirable construction material based on some specific criteria of different Alternatives. To see the advantages and compatibility of our derived approaches, by comparing the results of existing approaches with the results of currently discussed AOs.https://doi.org/10.1007/s40747-023-01116-1Intuitionistic fuzzy numbersAczel Alsina t-norm and t-conormHamy mean operatorsDecision support systemConstruction material assessment |
| spellingShingle | Abrar Hussain Haolun Wang Kifayat Ullah Dragan Pamucar Novel intuitionistic fuzzy Aczel Alsina Hamy mean operators and their applications in the assessment of construction material Complex & Intelligent Systems Intuitionistic fuzzy numbers Aczel Alsina t-norm and t-conorm Hamy mean operators Decision support system Construction material assessment |
| title | Novel intuitionistic fuzzy Aczel Alsina Hamy mean operators and their applications in the assessment of construction material |
| title_full | Novel intuitionistic fuzzy Aczel Alsina Hamy mean operators and their applications in the assessment of construction material |
| title_fullStr | Novel intuitionistic fuzzy Aczel Alsina Hamy mean operators and their applications in the assessment of construction material |
| title_full_unstemmed | Novel intuitionistic fuzzy Aczel Alsina Hamy mean operators and their applications in the assessment of construction material |
| title_short | Novel intuitionistic fuzzy Aczel Alsina Hamy mean operators and their applications in the assessment of construction material |
| title_sort | novel intuitionistic fuzzy aczel alsina hamy mean operators and their applications in the assessment of construction material |
| topic | Intuitionistic fuzzy numbers Aczel Alsina t-norm and t-conorm Hamy mean operators Decision support system Construction material assessment |
| url | https://doi.org/10.1007/s40747-023-01116-1 |
| work_keys_str_mv | AT abrarhussain novelintuitionisticfuzzyaczelalsinahamymeanoperatorsandtheirapplicationsintheassessmentofconstructionmaterial AT haolunwang novelintuitionisticfuzzyaczelalsinahamymeanoperatorsandtheirapplicationsintheassessmentofconstructionmaterial AT kifayatullah novelintuitionisticfuzzyaczelalsinahamymeanoperatorsandtheirapplicationsintheassessmentofconstructionmaterial AT draganpamucar novelintuitionisticfuzzyaczelalsinahamymeanoperatorsandtheirapplicationsintheassessmentofconstructionmaterial |