Prioritized Aggregation Operators for Intuitionistic Fuzzy Information Based on Aczel-Alsina T-Norm and T-Conorm and Their Applications in Group Decision-Making
2022
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In multi-attribute group decision-making (MAGDM) problems, prioritization is sometimes important. Several techniques and methods have been introduced in fuzzy systems to use prioritization. The main purpose of this paper is to propose prioritized aggregation operators (AOs) for intuitionistic fuzzy (IF) information. These AOs are symmetric in nature and are based on the novel Aczel-Alsina t-norm and t-conorm. Herein, we propose IF-prioritized Aczel-Alsina averaging (IFPAAA) and IF-prioritized Aczel-Alsina geometric (IFPAAG) operators. It is shown that these AOs satisfy the basic features of aggregation. Some additional results for these AOs are also investigated. These proposed operators can capture the prioritization phenomenon among the aggregated arguments, and the weights for prioritization are obtained from expert information. Finally, the proposed AOs are used in an MAGDM problem where a doctor is selected for a hospital. A comparison of the proposed prioritized AOs is also estab...lished with other well-known AOs to show the significance of the IFPAAA and IFPAAG operators.
Ključne reči:
prioritized aggregation operators / intuitionistic fuzzy set / decision-making / Aczel-Alsina t-normIzvor:
Symmetry-Basel, 2022, 14, 12Izdavač:
- MDPI, Basel
DOI: 10.3390/sym14122655
ISSN: 2073-8994
WoS: 000929740400001
Scopus: 2-s2.0-85144874477
Institucija/grupa
Fakultet organizacionih naukaTY - JOUR AU - Sarfraz, Mehwish AU - Ullah, Kifayat AU - Akram, Maria AU - Pamučar, Dragan AU - Božanić, Darko PY - 2022 UR - https://rfos.fon.bg.ac.rs/handle/123456789/2391 AB - In multi-attribute group decision-making (MAGDM) problems, prioritization is sometimes important. Several techniques and methods have been introduced in fuzzy systems to use prioritization. The main purpose of this paper is to propose prioritized aggregation operators (AOs) for intuitionistic fuzzy (IF) information. These AOs are symmetric in nature and are based on the novel Aczel-Alsina t-norm and t-conorm. Herein, we propose IF-prioritized Aczel-Alsina averaging (IFPAAA) and IF-prioritized Aczel-Alsina geometric (IFPAAG) operators. It is shown that these AOs satisfy the basic features of aggregation. Some additional results for these AOs are also investigated. These proposed operators can capture the prioritization phenomenon among the aggregated arguments, and the weights for prioritization are obtained from expert information. Finally, the proposed AOs are used in an MAGDM problem where a doctor is selected for a hospital. A comparison of the proposed prioritized AOs is also established with other well-known AOs to show the significance of the IFPAAA and IFPAAG operators. PB - MDPI, Basel T2 - Symmetry-Basel T1 - Prioritized Aggregation Operators for Intuitionistic Fuzzy Information Based on Aczel-Alsina T-Norm and T-Conorm and Their Applications in Group Decision-Making IS - 12 VL - 14 DO - 10.3390/sym14122655 UR - conv_2840 ER -
@article{ author = "Sarfraz, Mehwish and Ullah, Kifayat and Akram, Maria and Pamučar, Dragan and Božanić, Darko", year = "2022", abstract = "In multi-attribute group decision-making (MAGDM) problems, prioritization is sometimes important. Several techniques and methods have been introduced in fuzzy systems to use prioritization. The main purpose of this paper is to propose prioritized aggregation operators (AOs) for intuitionistic fuzzy (IF) information. These AOs are symmetric in nature and are based on the novel Aczel-Alsina t-norm and t-conorm. Herein, we propose IF-prioritized Aczel-Alsina averaging (IFPAAA) and IF-prioritized Aczel-Alsina geometric (IFPAAG) operators. It is shown that these AOs satisfy the basic features of aggregation. Some additional results for these AOs are also investigated. These proposed operators can capture the prioritization phenomenon among the aggregated arguments, and the weights for prioritization are obtained from expert information. Finally, the proposed AOs are used in an MAGDM problem where a doctor is selected for a hospital. A comparison of the proposed prioritized AOs is also established with other well-known AOs to show the significance of the IFPAAA and IFPAAG operators.", publisher = "MDPI, Basel", journal = "Symmetry-Basel", title = "Prioritized Aggregation Operators for Intuitionistic Fuzzy Information Based on Aczel-Alsina T-Norm and T-Conorm and Their Applications in Group Decision-Making", number = "12", volume = "14", doi = "10.3390/sym14122655", url = "conv_2840" }
Sarfraz, M., Ullah, K., Akram, M., Pamučar, D.,& Božanić, D.. (2022). Prioritized Aggregation Operators for Intuitionistic Fuzzy Information Based on Aczel-Alsina T-Norm and T-Conorm and Their Applications in Group Decision-Making. in Symmetry-Basel MDPI, Basel., 14(12). https://doi.org/10.3390/sym14122655 conv_2840
Sarfraz M, Ullah K, Akram M, Pamučar D, Božanić D. Prioritized Aggregation Operators for Intuitionistic Fuzzy Information Based on Aczel-Alsina T-Norm and T-Conorm and Their Applications in Group Decision-Making. in Symmetry-Basel. 2022;14(12). doi:10.3390/sym14122655 conv_2840 .
Sarfraz, Mehwish, Ullah, Kifayat, Akram, Maria, Pamučar, Dragan, Božanić, Darko, "Prioritized Aggregation Operators for Intuitionistic Fuzzy Information Based on Aczel-Alsina T-Norm and T-Conorm and Their Applications in Group Decision-Making" in Symmetry-Basel, 14, no. 12 (2022), https://doi.org/10.3390/sym14122655 ., conv_2840 .