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Math."],"published-print":{"date-parts":[[2026,8]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>Bipolar fuzzy relation equations with join-irreducible right-hand side have been recently studied in the literature, considering a complete distributive residuated lattice endowed with an involutive negation as the underlying algebraic structure. This manuscript elevates the study of these equations to the multi-adjoint paradigm, by significantly weakening the underlying algebraic structure and allowing the use of conjunctions of adjoint pairs instead of triangular norms. Specifically, the resolution of systems of bipolar multi-adjoint relation equations with join-irreducible right-hand side is investigated, the whole solution set is determined, paying particular attention to maximal and minimal solutions, and different examples illustrating the theoretical development are given.<\/jats:p>","DOI":"10.1007\/s40314-026-03669-6","type":"journal-article","created":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T09:44:05Z","timestamp":1773654245000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Bipolar multi-adjoint relation equations with join-irreducible right-hand side"],"prefix":"10.1007","volume":"45","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8230-0044","authenticated-orcid":false,"given":"M. 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