Zarandi Baghini, Abdolreza, Babaei, Hojat, Tabatabaei Mirhosseini, Ramin, Torkzadeh Tabrizi, Lida. (1402). New approach based on fuzzy hypergraphs in granular computing (an application to the urban vulnerability assessment). هنرهای کاربردی, 15(2), 189-206. doi: 10.22075/ijnaa.2022.27341.3565
Abdolreza Zarandi Baghini; Hojat Babaei; Ramin Tabatabaei Mirhosseini; Lida Torkzadeh Tabrizi. "New approach based on fuzzy hypergraphs in granular computing (an application to the urban vulnerability assessment)". هنرهای کاربردی, 15, 2, 1402, 189-206. doi: 10.22075/ijnaa.2022.27341.3565
Zarandi Baghini, Abdolreza, Babaei, Hojat, Tabatabaei Mirhosseini, Ramin, Torkzadeh Tabrizi, Lida. (1402). 'New approach based on fuzzy hypergraphs in granular computing (an application to the urban vulnerability assessment)', هنرهای کاربردی, 15(2), pp. 189-206. doi: 10.22075/ijnaa.2022.27341.3565
Zarandi Baghini, Abdolreza, Babaei, Hojat, Tabatabaei Mirhosseini, Ramin, Torkzadeh Tabrizi, Lida. New approach based on fuzzy hypergraphs in granular computing (an application to the urban vulnerability assessment). هنرهای کاربردی, 1402; 15(2): 189-206. doi: 10.22075/ijnaa.2022.27341.3565

New approach based on fuzzy hypergraphs in granular computing (an application to the urban vulnerability assessment)

International Journal of Nonlinear Analysis and Applications
مقاله 16، دوره 15، شماره 2، اردیبهشت 2024، صفحه 189-206    اصل مقاله (1.81 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27341.3565
نویسندگان
Abdolreza Zarandi Baghini1؛ Hojat Babaei2؛ Ramin Tabatabaei Mirhosseini* 3؛ Lida Torkzadeh Tabrizi2
1Department of Mathematics, Faculty of Science, Kerman Branch, Islamic Azad University, Kerman, Iran.
2Department of Mathematics, Faculty of Science, Kerman Branch, Islamic Azad University Kerman, Iran.
3Department of Civil Engineering, Faculty of Engineering, Kerman Branch, Islamic Azad University, Kerman, Iran.
چکیده
Classifying objects based on the simultaneous impact of various parameters has always been challenging due to heterogeneity, impact conflict, and sometimes parameter uncertainty. The purpose of this study is to provide a method for classifying such data. In the proposed method, fuzzy hypergraphs were used to define the granular structures in order to apply the simultaneous effect of heterogeneous and weighted parameters in the classification. This method has been implemented and validated on Fisher's intuitive research in relation to the classification of iris flowers. Evaluation and comparison of the proposed method with Fisher’s experimental results showed higher efficiency and accuracy in flower classification. The proposed method has been used to assess the seismic risk of 50,000 buildings based on 10 heterogeneous parameters. Seismic risk classification showed that more than 88% of buildings were classified, and 12% of buildings that could not be classified due to excessive scatter of parameter values were classified using a very small confidence radius. The results indicate the ability of the proposed method to classify objects with the least similarity and number of effective parameters in classification.
کلیدواژه‌ها
Hypergraph؛ Fuzzy membership degree؛ Fuzzy hypergraph؛ classification؛ Granular computing؛ Urban vulnerability
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