{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T19:28:37Z","timestamp":1777490917834,"version":"3.51.4"},"reference-count":98,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2023,5,6]],"date-time":"2023-05-06T00:00:00Z","timestamp":1683331200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Prince Sattam Bin Abdulaziz University","award":["PSAU\/2023\/R\/1444"],"award-info":[{"award-number":["PSAU\/2023\/R\/1444"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Systems"],"abstract":"<jats:p>Multi-criteria decision-making (MCDM) is now frequently utilized to solve difficulties in everyday life. It is challenging to rank possibilities from a set of options since this process depends on so many conflicting criteria. The current study focuses on recognizing symptoms of illness and then using an MCDM diagnosis to determine the potential disease. The following symptoms are considered in this study: fever, body aches, fatigue, chills, shortness of breath (SOB), nausea, vomiting, and diarrhea. This study shows how the generalised dual hesitant hexagonal fuzzy number (GDHH\u03c7FN) is used to diagnose disease. We also introduce a new de-fuzzification method for GDHH\u03c7FN. To diagnose a given condition, GDHH\u03c7FN coupled with MCDM tools, such as the fuzzy criteria importance through inter-criteria correlation (FCRITIC) method, is used for finding the weight of criteria. Furthermore, the fuzzy weighted aggregated sum product assessment (FWASPAS) method and a fuzzy combined compromise solution (FCoCoSo) are used to rank the alternatives. The alternative diseases are chosen to be malaria, influenza, typhoid, dengue, monkeypox, ebola, and pneumonia. A sensitivity analysis is carried out on three patients affected by different diseases to assess the validity and reliability of our methodologies.<\/jats:p>","DOI":"10.3390\/systems11050231","type":"journal-article","created":{"date-parts":[[2023,5,8]],"date-time":"2023-05-08T02:03:31Z","timestamp":1683511411000},"page":"231","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":27,"title":["Prediagnosis of Disease Based on Symptoms by Generalized Dual Hesitant Hexagonal Fuzzy Multi-Criteria Decision-Making Techniques"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7393-2568","authenticated-orcid":false,"given":"Alaa Fouad","family":"Momena","sequence":"first","affiliation":[{"name":"Department of Industrial Engineering, College of Engineering, Prince Sattam Bin Abdulaziz University, Al Kharj 11942, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shubhendu","family":"Mandal","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7179-984X","authenticated-orcid":false,"given":"Kamal Hossain","family":"Gazi","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, Kalyani 741249, West Bengal, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bibhas Chandra","family":"Giri","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4690-2598","authenticated-orcid":false,"given":"Sankar Prasad","family":"Mondal","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, Kalyani 741249, West Bengal, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,5,6]]},"reference":[{"key":"ref_1","first-page":"253","article-title":"The generalized trapezoidal fuzzy sets","volume":"24","author":"Lee","year":"2011","journal-title":"J. Chungcheong Math. Soc."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"779","DOI":"10.3233\/JIFS-179448","article-title":"A TOPSIS method by using generalized trapezoidal hesitant fuzzy numbers and application to a robot selection problem","volume":"38","author":"Deli","year":"2020","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1109\/TFUZZ.2002.806316","article-title":"Fuzzy risk analysis based on similarity measures of generalized fuzzy numbers","volume":"11","author":"Chen","year":"2003","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"6454","DOI":"10.1016\/j.eswa.2011.12.062","article-title":"A note on ranking generalized fuzzy numbers","volume":"39","author":"Xu","year":"2012","journal-title":"Expert Syst. Appl."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1793","DOI":"10.1057\/jors.2015.1","article-title":"Multi-attribute decision making with generalized fuzzy numbers","volume":"66","author":"Li","year":"2015","journal-title":"J. Oper. Res. Soc."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"3029","DOI":"10.1016\/j.apm.2011.09.080","article-title":"Multiple criteria group decision-making with generalized interval-valued fuzzy numbers based on signed distances and incomplete weights","volume":"36","author":"Chen","year":"2012","journal-title":"Appl. Math. Model."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"520","DOI":"10.1016\/0022-247X(85)90329-4","article-title":"On generalized fuzzy relational equations and their applications","volume":"107","author":"Pedrycz","year":"1985","journal-title":"J. Math. Anal. Appl."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"4673","DOI":"10.1007\/s00500-022-06995-z","article-title":"Generalized hesitant fuzzy numbers and their application in solving MADM problems based on TOPSIS method","volume":"26","author":"Keikha","year":"2022","journal-title":"Soft Comput."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1016\/j.ins.2021.03.038","article-title":"Fuzzy best-worst method based on generalized interval-valued trapezoidal fuzzy numbers for multi-criteria decision-making","volume":"573","author":"Wan","year":"2021","journal-title":"Inf. Sci."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Song, Y., and Hu, J. (2017). Vector similarity measures of hesitant fuzzy linguistic term sets and their applications. PLoS ONE, 12.","DOI":"10.1371\/journal.pone.0189579"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/j.knosys.2014.12.009","article-title":"Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets","volume":"76","author":"Liao","year":"2015","journal-title":"Knowl.-Based Syst."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"106613","DOI":"10.1016\/j.asoc.2020.106613","article-title":"A novel extended approach under hesitant fuzzy sets to design a framework for assessing the key challenges of digital health interventions adoption during the COVID-19 outbreak","volume":"96","author":"Mardani","year":"2020","journal-title":"Appl. Soft Comput."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"103811","DOI":"10.1016\/j.rinp.2020.103811","article-title":"Identification of dominant risk factor involved in spread of COVID-19 using hesitant fuzzy MCDM methodology","volume":"21","author":"Ghorui","year":"2021","journal-title":"Results Phys."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Ali, W., Shaheen, T., Haq, I.U., Toor, H.G., Akram, F., Jafari, S., Uddin, M.Z., and Hassan, M.M. (2023). Multiple-Attribute Decision Making Based on Intuitionistic Hesitant Fuzzy Connection Set Environment. Symmetry, 15.","DOI":"10.3390\/sym15030778"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"108373","DOI":"10.1016\/j.asoc.2021.108373","article-title":"Social network clustering and consensus-based distrust behaviors management for large-scale group decision-making with incomplete hesitant fuzzy preference relations","volume":"117","author":"Lu","year":"2022","journal-title":"Appl. Soft Comput."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Aikhuele, D.O., and Odofin, S. (2017). A generalized triangular intuitionistic fuzzy geometric averaging operator for decision-making in engineering and management. Information, 8.","DOI":"10.20944\/preprints201706.0061.v1"},{"key":"ref_17","first-page":"11877","article-title":"Fuzzy criticalpath method with hexagonal and generalised hexagonal fuzzy numbers using ranking method","volume":"13","author":"Rajendran","year":"2018","journal-title":"Int. J. Appl. Eng. Res."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Ritmak, N., Rattanawong, W., and Vongmanee, V. (2022). The dynamic evaluation model of health sustainability under MCDM benchmarking health indicator standards. Int. J. Environ. Res. Public Health, 20.","DOI":"10.3390\/ijerph20010259"},{"key":"ref_19","first-page":"7852806","article-title":"Prioritizing and overcoming barriers to e-health use among elderly people: Implementation of the analytical hierarchical process (AHP)","volume":"2022","author":"Mumtaz","year":"2022","journal-title":"J. Healthc. Eng. Hindawi"},{"key":"ref_20","first-page":"4069","article-title":"Evaluation multi diabetes mellitus symptoms by integrated fuzzy-based MCDM approach","volume":"12","author":"Yas","year":"2021","journal-title":"Turk. J. Comput. Math. Educ."},{"key":"ref_21","first-page":"8864522","article-title":"Comparative evaluation of the treatment of COVID-19 with multi-criteria decision-making techniques","volume":"2021","author":"Yildirim","year":"2021","journal-title":"J. Healthc. Eng. Hindawi"},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Nguyen, P.H., Tsai, J.F., Dang, T.T., Lin, M.H., Pham, H.A., and Nguyen, K.A. (2021). A hybrid spherical fuzzy MCDM approach to prioritize governmental intervention strategies against the COVID-19 pandemic: A case study from Vietnam. Mathematics, 9.","DOI":"10.3390\/math9202626"},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Addy, M., Chaudhuri, A.K., and Das, A. (2020, January 13\u201314). Role of data mining techniques and MCDM model in detection and severity monitoring to serve as precautionary methodologies against \u2018Dengue\u2019. Proceedings of the International Conference on Computer Science, Engineering and Applications (ICCSEA), Gunupur, India.","DOI":"10.1109\/ICCSEA49143.2020.9132879"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"99115","DOI":"10.1109\/ACCESS.2020.2995597","article-title":"Benchmarking methodology for selection of optimal COVID-19 diagnostic model based on entropy and TOPSIS methods","volume":"8","author":"Mohammed","year":"2020","journal-title":"IEEE Access"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"9977","DOI":"10.1007\/s11042-019-07742-7","article-title":"A novel group decision making model based on neutrosophic sets for heart disease diagnosis","volume":"79","author":"Gamal","year":"2020","journal-title":"Multimed. Tools Appl."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1007\/978-981-10-5903-2_26","article-title":"Diet recommendation for diabetic patients using MCDM approach","volume":"624","author":"Sharawat","year":"2018","journal-title":"Adv. Intell. Syst. Comput."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Basanta, H., Huang, Y.P., and Lee, T.T. (2016, January 28\u201330). Intuitive IoT-based H2U healthcare system for elderly people. Proceedings of the 13th International Conference on Networking, Sensing, and Control (ICNSC), Mexico City, Mexico.","DOI":"10.1109\/ICNSC.2016.7479018"},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Uzoka, F.M., Nwokoro, C., Obot, O., Ekpenyong, M., Udo, A.I.A., and Akinnuwesi, B. (2022, January 21\u201323). Analytic hierarchy process model for the diagnosis of typhoid fever. Proceedings of the Future Technologies Conference (FTC), Vancouver, Canada.","DOI":"10.1007\/978-3-031-18344-7_23"},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Fantini, J., Chahinian, H., and Yahi, N. (2022). A vaccine strategy based on the identification of an annular ganglioside binding motif in Monkeypox virus protein E8L. Viruses, 14.","DOI":"10.3390\/v14112531"},{"key":"ref_30","first-page":"e26531","article-title":"Monkeypox: A comprehensive review of transmission, pathogenesis, and manifestation","volume":"14","author":"Kaler","year":"2022","journal-title":"Cureus"},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Nakasi, R., Mwebaze, E., and Zawedde, A. (2021). Mobile-aware deep learning algorithms for malaria parasites and white blood cells localization in thick blood smears. Algorithms, 14.","DOI":"10.3390\/a14010017"},{"key":"ref_32","first-page":"6073","article-title":"Analysis of pneumonia model via efficient computing techniques; Computers, Materials & Continua","volume":"70","author":"Abodayeh","year":"2021","journal-title":"Mater. Contin."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"1508613","DOI":"10.1155\/2020\/1508613","article-title":"Fuzzy approach analyzing SEIR-SEI dengue dynamics","volume":"2020","author":"Bhuju","year":"2020","journal-title":"Biomed Res. Int."},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Nathan, A.M., Teh, C.S.J., Jabar, K.A., Teoh, B.T., Tangaperumal, A., Westerhout, C., Zaki, R., Eg, K.P., Thavagnanam, S., and Bruyne, J.A.D. (2020). Bacterial pneumonia and its associated factors in children from a developing country: A prospective cohort study. PLoS ONE, 15.","DOI":"10.1371\/journal.pone.0228056"},{"key":"ref_35","first-page":"43","article-title":"Multi-criteria decision analysis for malaria control strategies using analytic hierarchy process: A case of Yola North local government area, Adamawa state Nigeria","volume":"3","author":"Modibbo","year":"2019","journal-title":"Amity J. Comput. Sci. (Ajcs)"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"9486070","DOI":"10.1155\/2019\/9486070","article-title":"Evaluation of influenza intervention strategies in Turkey with fuzzy AHP-VIKOR","volume":"2019","author":"Samanlioglu","year":"2019","journal-title":"J. Healthc. Eng."},{"key":"ref_37","doi-asserted-by":"crossref","unstructured":"Majid, N.A., Nazi, N.M., and Mohamed, A.F. (2019). Distribution and spatial pattern analysis on dengue cases in Seremban district, Negeri Sembilan, Malaysia. Sustainability, 11.","DOI":"10.3390\/su11133572"},{"key":"ref_38","first-page":"37","article-title":"Analysis of the risk of ebola disease: Fuzzy VIKOR method based on the possibility theory","volume":"5","author":"Martin","year":"2019","journal-title":"Int. J. Manag. Appl. Sci."},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Gbadamosi, B., Ojo, M.M., Oke, S.I., and Matadi, M.B. (2018). Qualitative analysis of a dengue fever model. Math. Comput. Appl., 23.","DOI":"10.3390\/mca23030033"},{"key":"ref_40","first-page":"8436210","article-title":"Malaria vulnerability map mobile system development using GIS-based decision-making technique","volume":"2018","author":"Kim","year":"2018","journal-title":"Locat.-Based Mob. Mark. Innov."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"2324518","DOI":"10.1155\/2017\/2324518","article-title":"Modelling and optimal control of typhoid fever disease with cost-effective strategies","volume":"2017","author":"Tilahun","year":"2017","journal-title":"Comput. Math. Methods Med."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"893","DOI":"10.1097\/INF.0000000000000707","article-title":"Ebola virus disease focus on children","volume":"34","author":"Kourtis","year":"2015","journal-title":"Pediatr. Infect. Dis. J."},{"key":"ref_43","doi-asserted-by":"crossref","unstructured":"Dewan, A.M., Corner, R., Hashizume, M., and Ongee, E.T. (2013). Typhoid fever and its association with environmental factors in the Dhaka metropolitan area of Bangladesh: A spatial and time-series approach. PLoS Neglected Trop. Dis., 7.","DOI":"10.1371\/journal.pntd.0001998"},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1007\/s11518-013-5220-y","article-title":"Integrating complex system dynamics of pandemic influenza with a multi-criteria decision making model for evaluating public health strategies","volume":"22","author":"Araz","year":"2013","journal-title":"J. Syst. Sci. Syst. Eng."},{"key":"ref_45","doi-asserted-by":"crossref","unstructured":"Zhang, J., Lu, J., and Zhang, G. (2011, January 11\u201315). Combining one class classification models for avian influenza outbreaks. Proceedings of the Symposium on Computational Intelligence in Multicriteria Decision-Making (MDCM), Paris, France.","DOI":"10.1109\/SMDCM.2011.5949278"},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1007\/978-3-642-02298-2_8","article-title":"Integrating decision tree and hidden markov model (HMM) for subtype prediction of human influenza a virus","volume":"Volume 35","author":"Attaluri","year":"2009","journal-title":"Cutting-Edge Research Topics on Multiple Criteria Decision Making"},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"1985","DOI":"10.1007\/s00500-022-07173-x","article-title":"Selection of alternative based on linear programming and the extended fuzzy TOPSIS under the framework of dual hesitant fuzzy sets","volume":"27","author":"Sindhu","year":"2023","journal-title":"Soft Comput."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"380","DOI":"10.1109\/TFUZZ.2022.3168050","article-title":"Toward sustainable transportation: A pavement strategy selection based on the extension of dual-hesitant fuzzy multicriteria decision-making methods","volume":"31","author":"Ismael","year":"2023","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"89625","DOI":"10.1007\/s11356-022-21601-3","article-title":"A dual hesitant q-rung orthopair enhanced MARCOS methodology under uncertainty to determine a used PPE kit disposal","volume":"29","author":"Kang","year":"2022","journal-title":"Environ. Sci. Pollut. Res."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"108778","DOI":"10.1016\/j.asoc.2022.108778","article-title":"A genetic algorithm based on dual hesitant fuzzy preference relations for consensus group decision making","volume":"121","author":"Calache","year":"2022","journal-title":"Appl. Soft Comput."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1007\/s10700-021-09366-9","article-title":"Multiple attribute decision-making method based on projection model for dual hesitant fuzzy set","volume":"21","author":"Ni","year":"2022","journal-title":"Fuzzy Optim. Decis. Mak."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"1425487","DOI":"10.1155\/2020\/1425487","article-title":"Multiple criteria decision-making based on vector similarity measures under the framework of dual hesitant fuzzy sets","volume":"2020","author":"Guirao","year":"2020","journal-title":"Discret. Dyn. Nat. Soc."},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"106211","DOI":"10.1016\/j.cie.2019.106211","article-title":"Quantifying gesture information in brain hemorrhage patients using probabilistic dual hesitant fuzzy sets with unknown probability information","volume":"140","author":"Garg","year":"2020","journal-title":"Comput. Ind. Eng."},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"103979","DOI":"10.1109\/ACCESS.2019.2931405","article-title":"The strategy selection problem on artificial intelligence with an integrated VIKOR and AHP method under probabilistic dual hesitant fuzzy information","volume":"7","author":"Ren","year":"2019","journal-title":"IEEE Access"},{"key":"ref_55","doi-asserted-by":"crossref","unstructured":"Chen, H., Xu, G., and Yang, P. (2019). Multi-attribute decision-making approach based on dual hesitant fuzzy information measures and their applications. Mathematics, 7.","DOI":"10.3390\/math7090786"},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"28874","DOI":"10.1016\/j.ijhydene.2019.09.103","article-title":"Application of normal wiggly dual hesitant fuzzy sets to site selection for hydrogen underground storage","volume":"44","author":"Narayanamoorthy","year":"2019","journal-title":"Int. J. Hydrogen Energy"},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"1393","DOI":"10.2991\/ijcis.d.191119.001","article-title":"Interval-valued probabilistic dual hesitant fuzzy sets for multi-criteria group decision-making","volume":"12","author":"Liu","year":"2019","journal-title":"Int. J. Comput. Intell. Syst."},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1016\/j.knosys.2017.02.033","article-title":"Probabilistic dual hesitant fuzzy set and its application in risk evaluation","volume":"127","author":"Hao","year":"2017","journal-title":"Knowl.-Based Syst."},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"1017","DOI":"10.1007\/s00500-020-05201-2","article-title":"Generalized trapezoidal hesitant fuzzy numbers and their applications to multi criteria decision-making problems","volume":"25","author":"Deli","year":"2021","journal-title":"Soft Comput."},{"key":"ref_60","doi-asserted-by":"crossref","unstructured":"Sultan, A., Sa\u0142abun, W., Faizi, S., and Ism, M. (2021). Hesitant fuzzy linear regression model for decision making. Symmetry, 13.","DOI":"10.3390\/sym13101846"},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"107812","DOI":"10.1016\/j.asoc.2021.107812","article-title":"A combined hesitant fuzzy MCDM approach for supply chain analytics tool evaluation","volume":"112","year":"2021","journal-title":"Appl. Soft Comput."},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"7239","DOI":"10.1002\/int.22587","article-title":"Some generalized q-rung orthopair fuzzy Einstein interactive geometric aggregation operators with improved operational laws","volume":"36","author":"Farid","year":"2021","journal-title":"Int. J. Intell. Syst."},{"key":"ref_63","first-page":"40","article-title":"Generalized fuzzy TOPSIS to solve multi-criteria decision-making problems","volume":"32","author":"Zulqarnain","year":"2020","journal-title":"J. New Theory"},{"key":"ref_64","doi-asserted-by":"crossref","first-page":"106643","DOI":"10.1016\/j.ymssp.2020.106643","article-title":"Two-sided matching for hesitant fuzzy numbers in smart intelligent technique transfer","volume":"139","author":"Yue","year":"2020","journal-title":"Mech. Syst. Signal Process."},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"9874951","DOI":"10.1155\/2020\/9874951","article-title":"Multiple-attribute decision-making problem using TOPSIS and choquet integral with hesitant fuzzy number information","volume":"2020","author":"Garg","year":"2020","journal-title":"Math. Probl. Eng."},{"key":"ref_66","doi-asserted-by":"crossref","first-page":"5551","DOI":"10.3233\/JIFS-190704","article-title":"A new multi-criteria decision-making method based on Pythagorean hesitant fuzzy Archimedean Muirhead mean operators","volume":"37","author":"Zhong","year":"2019","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"769","DOI":"10.1007\/s12559-018-9569-6","article-title":"Dual hesitant fuzzy soft aggregation operators and their application in decision-making","volume":"10","author":"Garg","year":"2018","journal-title":"Cogn. Comput."},{"key":"ref_68","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1007\/s40815-017-0313-2","article-title":"Decision making with uncertainty using hesitant fuzzy sets","volume":"20","author":"Faizi","year":"2018","journal-title":"Int. J. Fuzzy Syst."},{"key":"ref_69","doi-asserted-by":"crossref","unstructured":"Faizi, S., Sa\u0142abun, W., Rashid, T., Watrobski, J., and Zafar, S. (2017). Group decision-making for hesitant fuzzy sets based on characteristic objects method. Symmetry, 9.","DOI":"10.3390\/sym9080136"},{"key":"ref_70","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1016\/j.asoc.2017.06.034","article-title":"The new extension of TOPSIS method for multiple criteria decision making with hesitant Pythagorean fuzzy sets","volume":"60","author":"Liang","year":"2017","journal-title":"Appl. Soft Comput."},{"key":"ref_71","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ins.2017.01.024","article-title":"Dual hesitant fuzzy VIKOR method for multi-criteria group decision making based on fuzzy measure and new comparison method","volume":"388\u2013389","author":"Ren","year":"2017","journal-title":"Inf. Sci."},{"key":"ref_72","doi-asserted-by":"crossref","first-page":"3971","DOI":"10.3233\/JIFS-17811","article-title":"Pythagorean hesitant fuzzy sets and their application to group decision making with incomplete weight information","volume":"33","author":"Khan","year":"2017","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1016\/j.asoc.2015.09.012","article-title":"Dual hesitant fuzzy power aggregation operators based on Archimedean t-conorm and t-norm and their application to multiple attribute group decision making","volume":"38","author":"Wang","year":"2016","journal-title":"Appl. Soft Comput."},{"key":"ref_74","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","article-title":"Fuzzy sets","volume":"8","author":"Zadeh","year":"1965","journal-title":"Inf. Control."},{"key":"ref_75","doi-asserted-by":"crossref","first-page":"194","DOI":"10.1016\/j.asoc.2014.03.014","article-title":"A comparison between Fuzzy AHP and Fuzzy TOPSIS methods to supplier selection","volume":"21","author":"Osiro","year":"2014","journal-title":"Appl. Soft Comput."},{"key":"ref_76","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1109\/TSMC.1973.5408575","article-title":"Outline of a new approach to the analysis of complex systems and decision processes","volume":"SMC-3","author":"Zadeh","year":"1973","journal-title":"IEEE Trans. Syst. Man Cybern."},{"key":"ref_77","first-page":"1677","article-title":"Intuitionistic fuzzy analytical hierarchy process with fuzzy Delphi method","volume":"11","author":"Rajaprakash","year":"2011","journal-title":"Glob. J. Pure Appl. Math."},{"key":"ref_78","first-page":"3226","article-title":"A new efficient decision making algorithm based on interval-valued fuzzy soft set","volume":"51","author":"Ma","year":"2021","journal-title":"Appl. Intell."},{"key":"ref_79","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1109\/TFUZZ.2020.3039335","article-title":"Interval-valued intuitionistic fuzzy soft sets based decision-making and parameter reduction","volume":"30","author":"Ma","year":"2022","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_80","doi-asserted-by":"crossref","unstructured":"Torra, V., and Narukawa, Y. (2009, January 20\u201324). On hesitant fuzzy sets and decision. Proceedings of the International Conference on Fuzzy Systems, Jeju, Republic of Korea.","DOI":"10.1109\/FUZZY.2009.5276884"},{"key":"ref_81","doi-asserted-by":"crossref","first-page":"495","DOI":"10.1002\/int.21654","article-title":"Hesitant fuzzy sets: State of the art and future directions","volume":"29","author":"Torra","year":"2014","journal-title":"Int. J. Intell. Syst."},{"key":"ref_82","doi-asserted-by":"crossref","first-page":"2197","DOI":"10.1016\/j.apm.2012.04.031","article-title":"Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis","volume":"37","author":"Chen","year":"2013","journal-title":"Appl. Math. Model."},{"key":"ref_83","doi-asserted-by":"crossref","first-page":"879629","DOI":"10.1155\/2012\/879629","article-title":"Dual hesitant fuzzy sets","volume":"2012","author":"Zhu","year":"2012","journal-title":"J. Appl. Math."},{"key":"ref_84","doi-asserted-by":"crossref","first-page":"7082","DOI":"10.1016\/j.apm.2015.02.046","article-title":"Correlation coefficient of dual hesitant fuzzy sets and its applications","volume":"39","author":"Tyagi","year":"2015","journal-title":"Appl. Math. Model."},{"key":"ref_85","doi-asserted-by":"crossref","first-page":"571","DOI":"10.1051\/ro\/2023025","article-title":"A new synergistic strategy for ranking restaurant locations: A decision-making approach based on the hexagonal fuzzy numbers","volume":"57","author":"Gazi","year":"2023","journal-title":"Rairo Oper. Res."},{"key":"ref_86","doi-asserted-by":"crossref","first-page":"15","DOI":"10.5121\/ijfls.2013.3302","article-title":"A new operation on hexagonal fuzzy number","volume":"3","author":"Rajarajeswari","year":"2013","journal-title":"International Journal of Fuzzy Logic Sys."},{"key":"ref_87","doi-asserted-by":"crossref","first-page":"1459","DOI":"10.1007\/s40747-020-00242-4","article-title":"Hexagonal fuzzy approximation of fuzzy numbers and its applications in MCDM","volume":"7","author":"Nayagam","year":"2021","journal-title":"Complex Intell. Syst."},{"key":"ref_88","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1007\/s40314-020-01292-7","article-title":"Hexagonal fuzzy number inadvertences and its applications to MCDM and HFFLS based on complete ranking by score functions","volume":"39","author":"Nayagam","year":"2020","journal-title":"Comput. Appl. Math."},{"key":"ref_89","unstructured":"Kahraman, C., Onar, S.C., and \u00d6ztaysi, B. (July, January 30). Present worth analysis using hesitant fuzzy sets. Proceedings of the 16th World Congress of the International Fuzzy Systems Association (IFSA), Gijon, Spain."},{"key":"ref_90","doi-asserted-by":"crossref","first-page":"2102","DOI":"10.1016\/j.matpr.2021.04.591","article-title":"On solving a fuzzy game problem using hexagonal fuzzy numbers","volume":"47","author":"Sangeetha","year":"2021","journal-title":"Mater. Today Proc."},{"key":"ref_91","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1080\/16168658.2021.2019969","article-title":"Hexadecagonal fuzzy numbers: Novel ranking and defuzzification techniques for fuzzy matrix game problems","volume":"14","author":"Jangid","year":"2022","journal-title":"Fuzzy Inf. Eng."},{"key":"ref_92","doi-asserted-by":"crossref","first-page":"763","DOI":"10.1016\/0305-0548(94)00059-H","article-title":"Determining objective weights in multiple criteria problems: The CRITIC method","volume":"22","author":"Diakoulaki","year":"1995","journal-title":"Comput. Oper. Res."},{"key":"ref_93","doi-asserted-by":"crossref","unstructured":"Krishnan, A.R., Kasim, M.M., Hamid, R., and Ghazali, M.F. (2021). A modified CRITIC method to estimate the objective weights of decision criteria. Symmetry, 13.","DOI":"10.3390\/sym13060973"},{"key":"ref_94","doi-asserted-by":"crossref","first-page":"114471","DOI":"10.1016\/j.eswa.2020.114471","article-title":"Ordered fuzzy WASPAS method for selection of improvement projects","volume":"169","author":"Rudnik","year":"2021","journal-title":"Expert Syst. Appl."},{"key":"ref_95","first-page":"3","article-title":"Optimization of weighted aggregated sum product assessment","volume":"122","author":"Zavadskas","year":"2012","journal-title":"Elektron. Elektrotechnika"},{"key":"ref_96","doi-asserted-by":"crossref","first-page":"2501","DOI":"10.1108\/MD-05-2017-0458","article-title":"A combined compromise solution (CoCoSo) method for multi-criteria decision-making problems","volume":"57","author":"Yazdani","year":"2019","journal-title":"Manag. Decis."},{"key":"ref_97","doi-asserted-by":"crossref","first-page":"9963576","DOI":"10.1155\/2021\/9963576","article-title":"Intelligent disease prediagnosis only based on symptoms","volume":"2021","author":"Luo","year":"2021","journal-title":"J. Healthc. Eng."},{"key":"ref_98","doi-asserted-by":"crossref","unstructured":"Alzahrani, F.A., Ghorui, N., Gazi, K.H., Giri, B.C., Ghosh, A., and Mondal, S.P. (2023). Optimal site selection for women university using neutrosophic multi-criteria decision making approach. Buildings, 13.","DOI":"10.3390\/buildings13010152"}],"container-title":["Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2079-8954\/11\/5\/231\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T19:30:26Z","timestamp":1760124626000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2079-8954\/11\/5\/231"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,5,6]]},"references-count":98,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2023,5]]}},"alternative-id":["systems11050231"],"URL":"https:\/\/doi.org\/10.3390\/systems11050231","relation":{},"ISSN":["2079-8954"],"issn-type":[{"value":"2079-8954","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,5,6]]}}}