{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,18]],"date-time":"2026-01-18T01:52:53Z","timestamp":1768701173346,"version":"3.49.0"},"reference-count":38,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2021,10,28]],"date-time":"2021-10-28T00:00:00Z","timestamp":1635379200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The concept of Heider balance, usually applied to interpersonal relations, is generalized here to opinions gathered in surveys. At first, we compare four algorithms, which drive a matrix dataset to a balanced state. The criterion is that the final state obtained with an algorithm should be as close as possible to the initial state. The result is that deterministic differential equations work better than their Monte Carlo counterparts. Next, we apply the winning algorithms to the matrix of correlations between opinions gathered in American states between 1974 and 1998. The results are interpreted in terms of the classic comfort hypothesis (E. Babbie, 2007).<\/jats:p>","DOI":"10.3390\/e23111418","type":"journal-article","created":{"date-parts":[[2021,10,28]],"date-time":"2021-10-28T23:50:28Z","timestamp":1635465028000},"page":"1418","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Structural Balance of Opinions"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4030-6955","authenticated-orcid":false,"given":"Malgorzata J.","family":"Krawczyk","sequence":"first","affiliation":[{"name":"Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Mickiewicza 30, PL-30059 Krak\u00f3w, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1168-7883","authenticated-orcid":false,"given":"Krzysztof","family":"Ku\u0142akowski","sequence":"additional","affiliation":[{"name":"Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Mickiewicza 30, PL-30059 Krak\u00f3w, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,10,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Axelrod, R. 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