{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,5]],"date-time":"2026-06-05T21:30:36Z","timestamp":1780695036058,"version":"3.54.1"},"reference-count":15,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2023,1,22]],"date-time":"2023-01-22T00:00:00Z","timestamp":1674345600000},"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>The role of experts in decision-making is highly significant. The soft expert set (SES) is yet another milestone, as it plays a vital role in generalizing soft set theory. Soft expert set is creative and original because it involves more than one expert. This served as a driving force behind the creation of the current work. The present paper generalizes the framework of soft experts set to the inverse soft setting, namely the inverse soft expert set (ISES). Some captivating characteristic features of the soft expert set (SES) are established. On the inverse soft expert sets, numerous striking characteristics of symmetric matrices are presented. The ground-breaking idea of symmetric matrices on inverse soft expert sets (SMISES) is introduced. A MCDM problem for SMISES is described with an algorithm and interesting comparative analysis.<\/jats:p>","DOI":"10.3390\/sym15020313","type":"journal-article","created":{"date-parts":[[2023,1,23]],"date-time":"2023-01-23T03:26:41Z","timestamp":1674444401000},"page":"313","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Symmetric Matrices on Inverse Soft Expert Sets and Their Applications"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3178-4536","authenticated-orcid":false,"given":"Nandhagopal","family":"Sathiyaseelan","sequence":"first","affiliation":[{"name":"Department of Mathematics (S&H), University College of Engineering Panruti (A Constituent College of Anna University, Chennai), Panruti 607106, Tamil Nadu, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9905-7730","authenticated-orcid":false,"given":"Srinivasan","family":"Vijayabalaji","sequence":"additional","affiliation":[{"name":"Department of Mathematics (S&H), University College of Engineering Panruti (A Constituent College of Anna University, Chennai), Panruti 607106, Tamil Nadu, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4533-9281","authenticated-orcid":false,"given":"Jos\u00e9 Carlos R.","family":"Alcantud","sequence":"additional","affiliation":[{"name":"BORDA Research Unit and Multidisciplinary Institute of Enterprise (IME), University of Salamanca, E37007 Salamanca, Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,22]]},"reference":[{"key":"ref_1","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. 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