{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:53:13Z","timestamp":1760147593043,"version":"build-2065373602"},"reference-count":39,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2023,2,20]],"date-time":"2023-02-20T00:00:00Z","timestamp":1676851200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper describes a computational method for solving the nonlinear equations with fuzzy input parameters that we encounter in engineering system analysis. In addition to discussing the existence of solutions, the definition and formalization of numerical solutions is based on a new fuzzy computation operation as a transmission average. Error analysis in numerical solutions is described. Finally, some examples are presented to implement the proposed method and its effectiveness compared to other previous methods.<\/jats:p>","DOI":"10.3390\/axioms12020222","type":"journal-article","created":{"date-parts":[[2023,2,20]],"date-time":"2023-02-20T04:28:57Z","timestamp":1676867337000},"page":"222","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A New Framework for Numerical Techniques for Fuzzy Nonlinear Equations"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4316-151X","authenticated-orcid":false,"given":"Fazlollah","family":"Abbasi","sequence":"first","affiliation":[{"name":"Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol 46, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6673-3560","authenticated-orcid":false,"given":"Tofigh","family":"Allahviranloo","sequence":"additional","affiliation":[{"name":"Faculty of Engineering and Natural Sciences, Istinye University, Istanbul 34845, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muhammad","family":"Akram","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of the Punjab, New Campus, Lahore 4590, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,2,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1016\/j.amc.2003.10.048","article-title":"Newton\u2019s method for solving fuzzy nonlinear equations","volume":"159","author":"Abbasbandy","year":"2004","journal-title":"Appl. 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