{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:45:32Z","timestamp":1760150732104,"version":"build-2065373602"},"reference-count":40,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2023,12,13]],"date-time":"2023-12-13T00:00:00Z","timestamp":1702425600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"CNPq","award":["233950\/2014-1","307781\/2016-0","301618\/2019-4","17\/2551-0000872-3","19\/2551-0001279-9","19\/2551-0001660","PC093-094TFIPDL","TIN2016-81731-REDT","TIN2016-77356-P"],"award-info":[{"award-number":["233950\/2014-1","307781\/2016-0","301618\/2019-4","17\/2551-0000872-3","19\/2551-0001279-9","19\/2551-0001660","PC093-094TFIPDL","TIN2016-81731-REDT","TIN2016-77356-P"]}]},{"name":"FAPERGS","award":["233950\/2014-1","307781\/2016-0","301618\/2019-4","17\/2551-0000872-3","19\/2551-0001279-9","19\/2551-0001660","PC093-094TFIPDL","TIN2016-81731-REDT","TIN2016-77356-P"],"award-info":[{"award-number":["233950\/2014-1","307781\/2016-0","301618\/2019-4","17\/2551-0000872-3","19\/2551-0001279-9","19\/2551-0001660","PC093-094TFIPDL","TIN2016-81731-REDT","TIN2016-77356-P"]}]},{"name":"Spanish Ministry of Science and Technology","award":["233950\/2014-1","307781\/2016-0","301618\/2019-4","17\/2551-0000872-3","19\/2551-0001279-9","19\/2551-0001660","PC093-094TFIPDL","TIN2016-81731-REDT","TIN2016-77356-P"],"award-info":[{"award-number":["233950\/2014-1","307781\/2016-0","301618\/2019-4","17\/2551-0000872-3","19\/2551-0001279-9","19\/2551-0001660","PC093-094TFIPDL","TIN2016-81731-REDT","TIN2016-77356-P"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>A well-known problem in the interval analysis literature is the overestimation and loss of information. In this article, we define new interval operators, called constrained interval operators, that preserve information and mitigate overestimation. These operators are investigated in terms of correction, algebraic properties, and orders. It is shown that a large part of the properties studied is preserved by this operator, while others remain preserved with the condition of continuity, as is the case of the exchange principle. In addition, a comparative study is carried out between this operator g\u00a8 and the best interval representation: g^. Although g\u00a8\u2286g^ and g\u00a8 do not preserve the Moore correction, we do not have a loss of relevant information since everything that is lost is irrelevant, mitigating the overestimation.<\/jats:p>","DOI":"10.3390\/axioms12121115","type":"journal-article","created":{"date-parts":[[2023,12,13]],"date-time":"2023-12-13T04:14:42Z","timestamp":1702440882000},"page":"1115","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Developing Constrained Interval Operators for Fuzzy Logic with Interval Values"],"prefix":"10.3390","volume":"12","author":[{"given":"Jocivania","family":"Pinheiro","sequence":"first","affiliation":[{"name":"Departamento de Ci\u00eancias Naturais, Matem\u00e1tica e Estat\u00edstica, Universidade Federal Rural do Semi-\u00c1rido, Mossor\u00f3 59625-900, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4991-9603","authenticated-orcid":false,"given":"Regivan H. N.","family":"Santiago","sequence":"additional","affiliation":[{"name":"Departamento de Inform\u00e1tica e Matem\u00e1tica Aplicada, Universidade Federal do Rio Grande do Norte, Natal 59072-970, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6757-7934","authenticated-orcid":false,"given":"Benjamin","family":"Bedregal","sequence":"additional","affiliation":[{"name":"Departamento de Inform\u00e1tica e Matem\u00e1tica Aplicada, Universidade Federal do Rio Grande do Norte, Natal 59072-970, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8312-9448","authenticated-orcid":false,"given":"Flaulles","family":"Bergamaschi","sequence":"additional","affiliation":[{"name":"Departamento de Ci\u00eancias Exatas e Tecnol\u00f3gicas, Universidade Estadual do Sudoeste da Bahia (UESB), Vit\u00f3ria da Conquista 45083-900, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,12,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1016\/0020-0255(75)90036-5","article-title":"The concept of a linguistic variable and its application to approximate reasoning\u2014I","volume":"8","author":"Zadeh","year":"1975","journal-title":"Inf. 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