{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,25]],"date-time":"2025-11-25T20:16:01Z","timestamp":1764101761917,"version":"build-2065373602"},"reference-count":49,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2024,6,20]],"date-time":"2024-06-20T00:00:00Z","timestamp":1718841600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computation"],"abstract":"<jats:p>Consumer product usability has been addressed using tools that evaluate objects to improve user interaction. However, such diversity in approach makes it challenging to select a method for the type of product being assessed. This article compiles the concepts used since the origin of usability in product design. It groups them by attributes to formulate a usability index proposal. Due to the nature of the data, fuzzy, hierarchical, and axiomatic tools were applied to a trial group of experts and users. Three questionnaires were designed and administered throughout a five-stage process to collect and select attributes, rank them in importance, assign fuzzy values, obtain their numerical representation of use, and assign a qualitative category. By analyzing a case study, this research demonstrates the value of the index by comparing the use of computer mice. Unlike other approaches to evaluating usability, the proposed index incorporates the hierarchical importance of attributes. It allows for participants to express their opinions, transforming subjective responses into linguistic values represented in triangular areas, resulting in a more accurate representation of reality. Additionally, the complexity of the human\u2013object interaction is treated by an information axiom to compute the usability index on a scale from 0 to 1, which reflects the probability of the product meeting the desired usability attributes.<\/jats:p>","DOI":"10.3390\/computation12060130","type":"journal-article","created":{"date-parts":[[2024,6,20]],"date-time":"2024-06-20T11:42:03Z","timestamp":1718883723000},"page":"130","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Human\u2013Object Interaction: Development of a Usability Index for Product Design Using a Hierarchical Fuzzy Axiomatic Design"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5868-5557","authenticated-orcid":false,"given":"Mayra Ivette","family":"Pe\u00f1a-Ontiveros","sequence":"first","affiliation":[{"name":"Design Department, Universidad Aut\u00f3noma de Ciudad Ju\u00e1rez, Ave. del Charro 450 Norte, Ciudad Ju\u00e1rez 32310, Chihuahua, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8329-4988","authenticated-orcid":false,"given":"Cesar Omar","family":"Balderrama-Armendariz","sequence":"additional","affiliation":[{"name":"Design Department, Universidad Aut\u00f3noma de Ciudad Ju\u00e1rez, Ave. del Charro 450 Norte, Ciudad Ju\u00e1rez 32310, Chihuahua, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2535-4756","authenticated-orcid":false,"given":"Alberto","family":"Rossa-Sierra","sequence":"additional","affiliation":[{"name":"Facultad de Ingenier\u00eda, Universidad Panamericana, \u00c1lvaro del Portillo 49, Zapopan 45010, Jalisco, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4959-161X","authenticated-orcid":false,"given":"Aide Aracely","family":"Maldonado-Macias","sequence":"additional","affiliation":[{"name":"Department of Industrial and Manufacturing Engineering, Universidad Aut\u00f3noma de Ciudad Ju\u00e1rez, Ave. del Charro 450 Norte, Ciudad Ju\u00e1rez 32310, Chihuahua, Mexico"}]},{"given":"David","family":"Cort\u00e9s S\u00e1enz","sequence":"additional","affiliation":[{"name":"Design Department, Universidad Aut\u00f3noma de Ciudad Ju\u00e1rez, Ave. del Charro 450 Norte, Ciudad Ju\u00e1rez 32310, Chihuahua, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8612-5132","authenticated-orcid":false,"given":"Juan Luis","family":"Hern\u00e1ndez Arellano","sequence":"additional","affiliation":[{"name":"Design Department, Universidad Aut\u00f3noma de Ciudad Ju\u00e1rez, Ave. del Charro 450 Norte, Ciudad Ju\u00e1rez 32310, Chihuahua, Mexico"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,20]]},"reference":[{"key":"ref_1","unstructured":"(2018). Ergonomics of Human-System Interaction\u2014Part 11: Usability: Definitions and Concepts (Standard No. ISO 9241-11). Available online: https:\/\/www.iso.org\/standard\/63500.html."},{"key":"ref_2","unstructured":"Shneiderman, B., and Plaisant, C. (2009). Designing the User Interface: Strategies for Effective Human-Computer Interaction, Pearson Addison-Wesley."},{"key":"ref_3","unstructured":"Norman, D. (2002). The Design of Everyday Things, Basic Books."},{"key":"ref_4","unstructured":"Krug, S. (2000). Don\u2019t Make Me Think: A Common Sense Approach to Web Usability, Pearson Education India."},{"key":"ref_5","unstructured":"Esquivel, G. (2020, May 05). Ventajas y Desventajas Que Hay Detr\u00e1s de la Experiencia de Usuario. Available online: http:\/\/cio.com.mx\/ventajas-y-desventajas-que-hay-detras-de-la-experiencia-de-usuario\/."},{"key":"ref_6","unstructured":"Hern\u00e1ndez, E. (2019, November 09). M\u00e9todos y T\u00e9cnicas de Evaluaci\u00f3n de la Usabilidad sin Personas Usuarias. Available online: https:\/\/medium.com\/@eliseohdez\/m\u00e9todos-y-t\u00e9cnicas-de-evaluaci\u00f3n-de-la-usabilidad-sin-personas-usuarias-e8f7b03c8654."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1080\/07370024.2017.1298038","article-title":"The Usability Construct: A Dead End?","volume":"33","author":"Tractinsky","year":"2018","journal-title":"Hum.-Comput. Interact."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Tan, J., Gencel, C., and R\u00f6nkk\u00f6, K. (2013, January 23\u201326). A Framework for Software Usability & User Experience in Mobile Industry. Proceedings of the 2013 Joint Conference of the 23rd International Workshop on Software Measurement and the 8th International Conference on Software Process and Product Measurement, Ankara, Turkey.","DOI":"10.1109\/IWSM-Mensura.2013.31"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/j.intcom.2009.05.006","article-title":"A framework for evaluating the usability of mobile phones based on multi-level, hierarchical model of usability factor","volume":"21","author":"Heo","year":"2009","journal-title":"Interact. Comput."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1016\/j.procir.2018.03.295","article-title":"Selection method for multiple performances evaluation during early design stages","volume":"70","author":"Audoux","year":"2018","journal-title":"Procedia CIRP"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/j.ijnaoe.2017.11.004","article-title":"Design of reliability critical system using axiomatic design with FMECA","volume":"11","author":"Goo","year":"2019","journal-title":"Int. J. Nav. Archit. Ocean. Eng."},{"key":"ref_12","first-page":"48","article-title":"L\u00f3gica Difusa Basada en la Experiencia del Usuario para Medir la Usabilidad","volume":"4","author":"Baquero","year":"2016","journal-title":"Rev. Latinoam. Ing. Softw."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"519","DOI":"10.1080\/0144929X.2018.1541255","article-title":"Shaking the usability tree: Why usability is not a dead end, and a constructive way forward","volume":"38","author":"Borsci","year":"2019","journal-title":"Behav. Inf. Technol."},{"key":"ref_14","unstructured":"Cross, N. (2021). Engineering Design Methods: Strategies for Product Design, John Wiley & Sons. [5th ed.]."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1016\/j.procir.2016.07.027","article-title":"Research progress analysis of reliability design method based on axiomatic design theory","volume":"53","author":"Shao","year":"2016","journal-title":"Procedia CIRP"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1016\/j.compind.2018.04.009","article-title":"An architectural view to computer integrated manufacturing systems based on Axiomatic Design Theory","volume":"100","author":"Delaram","year":"2018","journal-title":"Comput. Ind."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"103278","DOI":"10.1016\/j.compind.2020.103278","article-title":"Concept design evaluation by using Z-axiomatic design","volume":"122","author":"Akay","year":"2020","journal-title":"Comput. Ind."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"103144","DOI":"10.1016\/j.compind.2019.103144","article-title":"Utility-based hybrid fuzzy axiomatic design and its application in supply chain finance decision making with credit risk assessments","volume":"114","author":"Wu","year":"2020","journal-title":"Comput. Ind."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1016\/j.jmatprotec.2005.03.030","article-title":"Fuzzy multi-attribute equipment selection based on information axiom","volume":"169","author":"Kulak","year":"2005","journal-title":"J. Mater. Process. Technol."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"599","DOI":"10.1016\/j.eswa.2007.09.055","article-title":"Fuzzy axiomatic design-based performance evaluation model for docking facilities in shipbuilding industry: The case of Turkish shipyards","volume":"36","author":"Celik","year":"2009","journal-title":"Expert Syst. Appl."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1007\/s00170-012-4316-8","article-title":"A hierarchical fuzzy axiomatic design methodology for ergonomic compatibility evaluation of advanced manufacturing technology","volume":"66","author":"Maldonado","year":"2013","journal-title":"Int. J. Adv. Manuf. Technol."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"16227","DOI":"10.1016\/j.ijhydene.2019.11.130","article-title":"Hydrogen energy storage method selection using fuzzy axiomatic design and analytic hierarchy process","volume":"45","author":"Karatas","year":"2020","journal-title":"Int. J. Hydrogen Energy"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1101","DOI":"10.1287\/opre.2013.1197","article-title":"The Modern Science of Multicriteria Decision Making and Its Practical Applications: The AHP\/ANP Approach","volume":"61","author":"Saaty","year":"2013","journal-title":"Oper. Res."},{"key":"ref_24","first-page":"16","article-title":"Decision making with the analytic hierarchy process","volume":"1","author":"Saaty","year":"2008","journal-title":"Int. J. Serv. Sci."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"2283","DOI":"10.1007\/s00170-013-5444-5","article-title":"Intuitionistic fuzzy TOPSIS for ergonomic compatibility evaluation of advanced manufacturing technology","volume":"70","author":"Maldonado","year":"2014","journal-title":"Int. J. Adv. Manuf. Technol."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"106896","DOI":"10.1016\/j.infsof.2022.106896","article-title":"Quantum computing challenges in the software industry. A fuzzy AHP-based approach","volume":"147","author":"Awan","year":"2022","journal-title":"Inf. Softw. Technol."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Entani, T., Sugihara, K., and Tanaka, H. (2006). Interval Evaluations in DEA and AHP. Fuzzy Applications in Industrial Engineering, Springer.","DOI":"10.1007\/3-540-33517-X_11"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"348","DOI":"10.4067\/S0718-33052019000300348","article-title":"Aplicaci\u00f3n del proceso de jerarqu\u00eda anal\u00edtica (AHP) para la toma de decisi\u00f3n con juicios de expertos","volume":"27","author":"Mendoza","year":"2019","journal-title":"Ingeniare Rev. Chil. Ing."},{"key":"ref_29","first-page":"1657","article-title":"Aplicaci\u00f3n de dise\u00f1o axiom\u00e1tico en el desarrollo de productos escolares con pl\u00e1sticos bio-basados","volume":"12","author":"Quiroz","year":"2020","journal-title":"Acad. J."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"6705","DOI":"10.1016\/j.eswa.2010.03.061","article-title":"Applications of axiomatic design principles: A literature review","volume":"37","author":"Kulak","year":"2010","journal-title":"Expert Syst. Appl."},{"key":"ref_31","first-page":"239","article-title":"L\u00f3gica difusa para la toma de decisiones y la selecci\u00f3n de personal","volume":"17","author":"Vermoden","year":"2015","journal-title":"Univ. Empresa"},{"key":"ref_32","unstructured":"Maldonado, A., Balderrama, C., Pedrozo, J., and Carc\u00eda, J. (2019). Dise\u00f1o Axiom\u00e1tico: Libro de Fundamentos y Aplicaciones, Universidad de la Rioja."},{"key":"ref_33","unstructured":"Suh, N. (1990). The Principles of Design, Oxford University Press."},{"key":"ref_34","unstructured":"Suh, N., and Farid, A. (2016). Axiomatic Design in Large Systems: Complex Products, Buildings and Manufacturing Systems, Springer."},{"key":"ref_35","first-page":"1","article-title":"What Is the Best Response Scale for Survey and Questionnaire Design; Review of Different Lengths of Rating Scale\/Attitude Scale\/Likert Scale","volume":"8","author":"Taherdoost","year":"2020","journal-title":"Int. J. Acad. Res. Manag. (IJARM)"},{"key":"ref_36","first-page":"129","article-title":"\u00bfPueden las escalas Likert aumentar en sensibilidad?","volume":"8","author":"Bisquerra","year":"2015","journal-title":"REIRE Rev. D\u2019innovaci\u00f3 I Recer. En Educ."},{"key":"ref_37","first-page":"373","article-title":"Finding usability problems through heuristic evaluation","volume":"Volume 1","author":"Nielsen","year":"1992","journal-title":"CHI, Proceedings of the SIGCHI Conference on Human Factors in Computing Systems"},{"key":"ref_38","first-page":"206","article-title":"A Mathematical Model of the Finding of Usability Problems","volume":"1","author":"Nielsen","year":"1993","journal-title":"INTERCHI"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"178","DOI":"10.1016\/j.compind.2019.03.003","article-title":"Smart technologies and corporate sustainability: The mediation effect of corporate sustainability strategy","volume":"108","author":"Saunila","year":"2019","journal-title":"Comput. Ind."},{"key":"ref_40","unstructured":"Suh, N. (2001). Axiomatic Design: Advances and Applications, Oxford University Press."},{"key":"ref_41","unstructured":"Calvo, A., Ortega, S., and Saez, A. (2011). M\u00e9todos de Evaluaci\u00f3n con Usuarios, Universitat Oberta de Catalunya."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"788","DOI":"10.1016\/j.cie.2018.11.018","article-title":"Hybrid hierarchical fuzzy group decision-making based on information axioms and BWM: Prototype design selection","volume":"127","author":"Maghsoodi","year":"2019","journal-title":"Comput. Ind. Eng."},{"key":"ref_43","doi-asserted-by":"crossref","unstructured":"Subulan, K., and Baykaso\u011flu, A. (2021). An Improved Extension of Weighted Hierarchical Fuzzy Axiomatic Design, CRC Press.","DOI":"10.1201\/9781003005018-16-17"},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1016\/j.ins.2022.04.034","article-title":"An interval type-2 fuzzy axiomatic design method: A case study for evaluating blockchain deployment projects in supply chain","volume":"602","year":"2022","journal-title":"Inf. Sci."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1080\/09544828.2017.1316014","article-title":"Analysis of product design characteristics for remanufacturing using Fuzzy AHP and Axiomatic Design","volume":"28","author":"Chakraborty","year":"2017","journal-title":"J. Eng. Des."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"1097","DOI":"10.1002\/er.6256","article-title":"Wind farm site selection from the perspective of sustainability: A novel satisfaction degree-based fuzzy axiomatic design approach","volume":"45","author":"Feng","year":"2021","journal-title":"Int. J. Energy Res."},{"key":"ref_47","first-page":"219","article-title":"User Experience Index Scale\u2014Quantifying Usability by Magnitude Estimation","volume":"45","author":"Utamura","year":"2009","journal-title":"Fujitsu Sci. Tech. J."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1016\/j.ergon.2007.12.002","article-title":"A methodology for developing a usability index of consumer electronic products","volume":"38","author":"Kim","year":"2008","journal-title":"Int. J. Ind. Ergon."},{"key":"ref_49","unstructured":"Brandy, A., Mantelet, F., Aoussat, A., and Pigot, P. (2017, January 21\u201325). Proposal for a new usability index for product design teams and the general public. Proceedings of the 21st International Conference on Engineering Design (ICED17), Vancouver, BC, Canada."}],"container-title":["Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2079-3197\/12\/6\/130\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T15:02:00Z","timestamp":1760108520000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2079-3197\/12\/6\/130"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,6,20]]},"references-count":49,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2024,6]]}},"alternative-id":["computation12060130"],"URL":"https:\/\/doi.org\/10.3390\/computation12060130","relation":{},"ISSN":["2079-3197"],"issn-type":[{"type":"electronic","value":"2079-3197"}],"subject":[],"published":{"date-parts":[[2024,6,20]]}}}