{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T18:32:37Z","timestamp":1770748357978,"version":"3.50.0"},"reference-count":57,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2015,9,23]],"date-time":"2015-09-23T00:00:00Z","timestamp":1442966400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2015,9,23]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    This paper considers the concept of pseudo-uninorm which is a natural generalization of the concept of pseudo t-norm for uninorms and presents the relationship between pseudo-uninorms on the unit interval and their natural extension according to Atanassov\u2019s intuitionistic framework, showing how to obtain, in a canonical manner, Atanassov\u2019s intuitionistic pseudo-uninorms from pseudo-uninorms. Moreover, we also show that the automorphisms on the unit interval and on\n                    <jats:italic>L<\/jats:italic>\n                    <jats:sup>*<\/jats:sup>\n                    (the intuitionistic valued lattice) are in one-to-one correspondence and how automorphisms on\n                    <jats:italic>L<\/jats:italic>\n                    <jats:sup>*<\/jats:sup>\n                    act on Atanassov\u2019s intuitionistic pseudo-uninorms. It is also proved the commutation between the action of automorphisms and the canonical construction of pseudo-uninorms on\n                    <jats:italic>L<\/jats:italic>\n                    <jats:sup>*<\/jats:sup>\n                    commute. Moreover, we generalize the usual generation of fuzzy negations from t-norms in order to construct fuzzy negations from pseudo-uninorms and, subsequently, generalize this construction for\n                    <jats:italic>L<\/jats:italic>\n                    <jats:sup>*<\/jats:sup>\n                    and relate these two constructions. Finally, we use pseudo-uninorms to obtain a class of weighted average operator and applies it in multiple attribute group decisionmaking problems.\n                  <\/jats:p>","DOI":"10.3233\/ifs-151593","type":"journal-article","created":{"date-parts":[[2015,10,6]],"date-time":"2015-10-06T12:01:23Z","timestamp":1444132883000},"page":"267-281","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["Pseudo-uninorms and Atanassov\u2019s intuitionistic pseudo-uninorms"],"prefix":"10.1177","volume":"29","author":[{"given":"Ivanosca A.","family":"da Silva","sequence":"first","affiliation":[{"name":"Instituto Metr\u00f3pole Digital, Universidade Federal do Rio Grande do Norte, Campus Universit\u00e1rio, 59072-970 Natal-RN, Brazil"}]},{"given":"Benjam\u00edn","family":"Bedregal","sequence":"additional","affiliation":[{"name":"Departamento de Inform\u00e1tica e Matem\u00e1tica Aplicada, Universidade Federal do Rio Grande do Norte, Campus Universit\u00e1rio s\/n, 59072-970 Natal-RN, Brazil"}]},{"given":"Claudilene G.","family":"da Costa","sequence":"additional","affiliation":[{"name":"Departamento de Ci\u00eancias Exatas, Universidade Federal da Para\u00edba, 58297-000, Rio Tinto-PB, Brazil"}]},{"given":"Eduardo","family":"Palmeira","sequence":"additional","affiliation":[{"name":"Departamento de Ci\u00eancias Exatas e Tecnol\u00f3gicas, Universidade Estadual de Santa Cruz, Campus Soane Nazar\u00e9 de Andrade, Km 16 Rodovia Ilh\u00e9us-Itabuna, 45662-900 Ilh\u00e9us-BA, Brazil"}]},{"given":"Marcus P.","family":"da Rocha","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, Universidade Federal do Par\u00e1, Av. Augusto Corr\u00eaa s\/n, Marco, 66093-380 Belem-PA, Brazil"}]}],"member":"179","published-online":{"date-parts":[[2015,9,23]]},"reference":[{"key":"e_1_3_1_2_2","first-page":"18","article-title":"On non-distributive logical connectives for fuzzy set theory","volume":"3","author":"Alsina C","year":"1980","unstructured":"AlsinaCTrillasEValverdeL1980On non-distributive logical connectives for fuzzy set theoryBusefal31829","journal-title":"Busefal"},{"key":"e_1_3_1_3_2","unstructured":"AtanassovKT1983Intuitionistic Fuzzy SetsCentral Tech. Library Bulgarian Academy ScienceSofia BulgariaRep. No.1697\/84"},{"key":"e_1_3_1_4_2","unstructured":"AtanassovKT1989Geometrical interpretation of the elements of the intuitionistic fuzzy objectsSofiaPreprintIM-MFAIS-1-89"},{"key":"e_1_3_1_5_2","unstructured":"AtanassovKT2006On Intuitionistic Fuzzy Negations. 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