{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T02:51:40Z","timestamp":1782874300598,"version":"3.54.5"},"reference-count":43,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2025,9,14]],"date-time":"2025-09-14T00:00:00Z","timestamp":1757808000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In a dynamic and uncertain environment, maintaining a high level of business process (BP) reliability represents a key long-term objective for organizations. The manufacturing process, as the most critical business process in manufacturing enterprises, is emphasized due to its potential to cause significant disruptions across other BPs if it fails. This paper proposes a two-stage model. In the first stage, failures leading to lean waste are evaluated and ranked using the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) combined with interval-valued intuitionistic fuzzy numbers (IVIFNs), referred to as IF-TOPSIS. The model is grounded in the Failure Mode and Effect Analysis (FMEA) framework. In the second stage, a modified fuzzy logic system with IVIFN-based rules is applied to determine the risk level of the manufacturing process. This approach is based on the property of symmetry in the decision-making process, ensuring that criteria are treated in a balanced manner and inference rules are applied consistently. A case study based on real-life data demonstrates that the obtained results identify measures that can enhance business strategy and reduce failure rates. Thus, the model is validated and shown to contribute to lean waste reduction. It can be concluded that the proposed methodology provides clear and practical guidance to enterprise management, as well as to all sectors and individuals involved in ensuring a reliable manufacturing process, for defining failure priorities and implementing preventive measures.<\/jats:p>","DOI":"10.3390\/sym17091535","type":"journal-article","created":{"date-parts":[[2025,9,15]],"date-time":"2025-09-15T07:56:51Z","timestamp":1757923011000},"page":"1535","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["The Determination Risk Level of Manufacturing Process Based on IF-TOPSIS and IF-Fuzzy Logic Rules"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5437-2019","authenticated-orcid":false,"given":"Ranka","family":"Sud\u017eum","sequence":"first","affiliation":[{"name":"Faculty of Mechanical Engineering, University of East Sarajevo, Vuka Karad\u017ei\u0107a 30, 71123 East Sarajevo, Bosnia and Herzegovina"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1461-9595","authenticated-orcid":false,"given":"Sne\u017eana","family":"Nesti\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Engineering, University of Kragujevac, Sestre Janji\u0107 6, 34000 Kragujevac, Serbia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7990-9123","authenticated-orcid":false,"given":"Aleksandar","family":"Aleksi\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Engineering, University of Kragujevac, Sestre Janji\u0107 6, 34000 Kragujevac, Serbia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6964-5673","authenticated-orcid":false,"given":"Nikola","family":"Komatina","sequence":"additional","affiliation":[{"name":"Faculty of Engineering, University of Kragujevac, Sestre Janji\u0107 6, 34000 Kragujevac, Serbia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3583-9434","authenticated-orcid":false,"given":"Dragan","family":"Marinkovi\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Mechanical Engineering and Transport Systems, TU Berlin, 10623 Berlin, Germany"},{"name":"Mechanical Science Institute, Vilnius Gediminas Technical University (VILNIUS TECH), Plytin\u0117s st. 25, LT-10105 Vilnius, Lithuania"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8141-4429","authenticated-orcid":false,"given":"Slavi\u0161a","family":"Moljevi\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Mechanical Engineering, University of East Sarajevo, Vuka Karad\u017ei\u0107a 30, 71123 East Sarajevo, Bosnia and Herzegovina"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2025,9,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Brall, A. (2010, January 25\u201328). Reliability Analysis\u2014A Tool Set for Improving Business Processes. Proceedings of the Proceedings\u2014Annual Reliability and Maintainability Symposium, San Jose, CA, USA.","DOI":"10.1109\/RAMS.2010.5447983"},{"key":"ref_2","first-page":"711","article-title":"An Integrated Optimization of Production and Preventive Maintenance Scheduling in Industry 4.0","volume":"22","author":"Babaeimorad","year":"2024","journal-title":"Facta Univ. Ser. Mech. Eng."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"e12451","DOI":"10.1111\/exsy.12451","article-title":"Ranking Manufacturing Processes from the Quality Management Perspective in the Automotive Industry","volume":"36","author":"Nestic","year":"2019","journal-title":"Expert Syst."},{"key":"ref_4","first-page":"143","article-title":"Reliability Assessment of Manufacturing Processes","volume":"3","author":"Karaulova","year":"2012","journal-title":"Int. J. Ind. Eng. Manag. (IJIEM)"},{"key":"ref_5","unstructured":"Kushwaha, D.K., Panchal, D., and Sachdeva, A. (2025, August 07). A Modified FMEA Approach Based Integrated Decision Framework for Overcoming the Problems of Sudden Failure and Accidental Hazards in Turbine and Alternator Unit. Facta Univ. Ser. Mech. Eng., Available online: https:\/\/casopisi.junis.ni.ac.rs\/index.php\/FUMechEng\/article\/view\/11146."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"2167","DOI":"10.1016\/j.proeng.2014.12.460","article-title":"Identification of Major Lean Production Waste in Automobile Industries Using Weighted Average Method","volume":"97","author":"Arunagiri","year":"2014","journal-title":"Procedia Eng."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"13406","DOI":"10.1016\/j.matpr.2018.02.334","article-title":"Ranking of MUDA Using AHP and Fuzzy AHP Algorithm","volume":"5","author":"Gnanavelbabu","year":"2018","journal-title":"Mater. Today Proc."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","article-title":"Intuitionistic Fuzzy Sets","volume":"20","author":"Atanassov","year":"1986","journal-title":"Fuzzy Sets Syst."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1016\/0165-0114(89)90205-4","article-title":"Interval Valued Intuitionistic Fuzzy Sets","volume":"31","author":"Atanassov","year":"1989","journal-title":"Fuzzy Sets Syst."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/j.spc.2015.12.003","article-title":"Application of the TOPSIS and Intuitionistic Fuzzy Set Approaches for Ranking the Life Cycle Sustainability Performance of Alternative Vehicle Technologies","volume":"6","author":"Onat","year":"2016","journal-title":"Sustain. Prod. Consum."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1319","DOI":"10.1007\/s40314-016-0402-0","article-title":"TOPSIS Method Based on the Connection Number of Set Pair Analysis under Interval-Valued Intuitionistic Fuzzy Set Environment","volume":"37","author":"Kumar","year":"2018","journal-title":"Comput. Appl. Math."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"595","DOI":"10.1007\/s10462-018-9668-5","article-title":"A Novel Exponential Distance and Its Based TOPSIS Method for Interval-Valued Intuitionistic Fuzzy Sets Using Connection Number of SPA Theory","volume":"53","author":"Garg","year":"2020","journal-title":"Artif. Intell. Rev."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1016\/j.jmsy.2018.11.002","article-title":"Sustainable Supplier Selection: A Multi-Criteria Intuitionistic Fuzzy TOPSIS Method","volume":"50","author":"Memari","year":"2019","journal-title":"J. Manuf. Syst."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"282","DOI":"10.1108\/K-04-2015-0093","article-title":"TOPSIS Method for Intuitionistic Fuzzy Multiple-Criteria Decision Making and Its Application to Investment Selection","volume":"45","author":"Zeng","year":"2016","journal-title":"Kybernetes"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"394","DOI":"10.1016\/j.ins.2019.02.035","article-title":"Integrating TOPSIS with Interval-Valued Intuitionistic Fuzzy Cognitive Maps for Effective Group Decision Making","volume":"485","author":"Hajek","year":"2019","journal-title":"Inf. Sci."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1016\/j.asoc.2014.08.073","article-title":"Soft Computing Based on Maximizing Consensus and Fuzzy TOPSIS Approach to Interval-Valued Intuitionistic Fuzzy Group Decision Making","volume":"26","author":"Zhang","year":"2015","journal-title":"Appl. Soft Comput. J."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1016\/j.fss.2014.10.002","article-title":"On Redundancies in Systems of Fuzzy\/Linguistic IF\u2013THEN Rules under Perception-Based Logical Deduction Inference","volume":"277","year":"2015","journal-title":"Fuzzy Sets Syst."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Eyoh, I., John, R., and De Maere, G. (2016, January 9\u201312). Interval Type-2 Intuitionistic Fuzzy Logic System for Non-Linear System Prediction. Proceedings of the 2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC), Budapest, Hungary.","DOI":"10.1109\/SMC.2016.7844383"},{"key":"ref_19","unstructured":"Lam, C.Y., Chan, S.L., and Ip, W.H. (2010). A Structural Reliability Business Process Modelling with System Dynamics Simulation. Modeling Simulation and Optimization\u2014Focus on Applications, IntechOpen."},{"key":"ref_20","first-page":"359","article-title":"Assessment of Sustainable Wastewater Treatment Technologies Using Interval-Valued Intuitionistic Fuzzy Distance Measure-Based MAIRCA Method","volume":"21","author":"Mishra","year":"2023","journal-title":"Facta Univ. Ser. Mech. Eng."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"78","DOI":"10.31181\/smeor21202527","article-title":"Evaluating and Prioritizing Blockchain Networks Using Intuitionistic Fuzzy Multi-Criteria Decision-Making Method","volume":"2","author":"Mishra","year":"2025","journal-title":"Spectr. Mech. Eng. Oper. Res."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1085","DOI":"10.1007\/s00500-014-1321-x","article-title":"Failure Mode and Effects Analysis Using Intuitionistic Fuzzy Hybrid TOPSIS Approach","volume":"19","author":"Liu","year":"2015","journal-title":"Soft Comput."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Nesti\u0107, S., Gojkovi\u0107, R., Petrovi\u0107, T., Tadi\u0107, D., and Mimovi\u0107, P. (2022). Quality Performance Indicators Evaluation and Ranking by Using TOPSIS with the Interval-Intuitionistic Fuzzy Sets in Project-Oriented Manufacturing Companies. Mathematics, 10.","DOI":"10.3390\/math10224174"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"505","DOI":"10.1016\/S0165-0114(98)00244-9","article-title":"Distances between Intuitionistic Fuzzy Sets","volume":"114","author":"Szmidt","year":"2000","journal-title":"Fuzzy Sets Syst."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1179","DOI":"10.1109\/TFUZZ.2006.890678","article-title":"Intuitionistic Fuzzy Aggregation Operators","volume":"15","author":"Xu","year":"2007","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_26","first-page":"215","article-title":"Methods for Aggregating Interval-Valued Intuitionistic Fuzzy Information and Their Application to Decision Making\u2014ScienceOpen","volume":"22","author":"Xu","year":"2007","journal-title":"Control Decis."},{"key":"ref_27","first-page":"57","article-title":"A Decision Making Method via TOPSIS on Soft Sets","volume":"4","author":"Eraslan","year":"2015","journal-title":"J. New Results Sci."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"2544","DOI":"10.1016\/j.apm.2010.11.025","article-title":"Extension of the TOPSIS Method for Decision Making Problems under Interval-Valued Intuitionistic Fuzzy Environment","volume":"35","author":"Park","year":"2011","journal-title":"Appl. Math. Model."},{"key":"ref_29","first-page":"263","article-title":"Intuitionistic Fuzzy Sets in Intelligent Data Analysis for Medical Diagnosis","volume":"Volume 2074","author":"Szmidt","year":"2001","journal-title":"Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"2939","DOI":"10.1016\/j.fss.2008.02.023","article-title":"A Comprehensive Theory of Trichotomous Evaluative Linguistic Expressions","volume":"159","year":"2008","journal-title":"Fuzzy Sets Syst."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1177\/0954408912466368","article-title":"Development of a Fuzzy Logic-Based Inherent Safety Index for Food Industries","volume":"228","author":"Tadic","year":"2014","journal-title":"Proc. Inst. Mech. Eng. Part E J. Process Mech. Eng."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"444","DOI":"10.1205\/095758203770866610","article-title":"Development of a Fuzzy Logic-Based Inherent Safety Index","volume":"81","author":"Gentile","year":"2003","journal-title":"Process Saf. Environ. Prot."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1016\/j.fss.2003.08.005","article-title":"Distances between Intuitionistic Fuzzy Sets and\/or Interval-Valued Fuzzy Sets Based on the Hausdorff Metric","volume":"148","author":"Grzegorzewski","year":"2004","journal-title":"Fuzzy Sets Syst."},{"key":"ref_34","unstructured":"Ohno, T. (1988). Toyota Production System on Audio Tape: Beyond Large Scale Production, Productivity Press."},{"key":"ref_35","unstructured":"Liker, J.K. (2004). Toyota Way: 14 Management Principles from the World\u2019s Greatest Manufacturer, McGraw-Hill Education."},{"key":"ref_36","unstructured":"Stamatis, D.H. (2003). Failure Mode and Effect Analysis: FMEA from Theory to Execution, Quality Press."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1007\/s00500-014-1519-y","article-title":"A New Preference Scale Mcdm Method Based on Interval-Valued Intuitionistic Fuzzy Sets and the Analytic Hierarchy Process","volume":"20","author":"Abdullah","year":"2016","journal-title":"Soft Comput."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"3467","DOI":"10.1016\/j.apm.2012.08.012","article-title":"A Grey Relational Projection Method for Multi-Attribute Decision Making Based on Intuitionistic Trapezoidal Fuzzy Number","volume":"37","author":"Zhang","year":"2013","journal-title":"Appl. Math. Model."},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Hwang, C.-L., and Yoon, K. (1981). Methods for Multiple Attribute Decision Making. Multiple Attribute Decision Making, Springer.","DOI":"10.1007\/978-3-642-48318-9"},{"key":"ref_40","first-page":"195","article-title":"Multi-Attribute Assessment of Road Design Solutions by Using the COPRAS Method","volume":"2","author":"Zavadskas","year":"2007","journal-title":"Balt. J. Road Bridge Eng."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1016\/j.cie.2017.08.017","article-title":"A New Multi-Criteria Model Based on Interval Type-2 Fuzzy Sets and EDAS Method for Supplier Evaluation and Order Allocation with Environmental Considerations","volume":"112","author":"Amiri","year":"2017","journal-title":"Comput. Ind. Eng."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"73","DOI":"10.30656\/jsmi.v8i2.9283","article-title":"A Compromise-Based MADM Approach for Prioritizing Failures: Integrating the RADAR Method within the FMEA Framework","volume":"8","author":"Komatina","year":"2024","journal-title":"J. Sist. Dan Manaj. Ind."},{"key":"ref_43","unstructured":"Chattamvelli, R. (2025). Regression Models in Engineering and the Applied Sciences, Springer."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/17\/9\/1535\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T18:45:31Z","timestamp":1760035531000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/17\/9\/1535"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,9,14]]},"references-count":43,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2025,9]]}},"alternative-id":["sym17091535"],"URL":"https:\/\/doi.org\/10.3390\/sym17091535","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,9,14]]}}}