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We extend this approach to other generalizations of the normal cone and corresponding weakest constraint qualifications, such that local Pareto optimal points are weak Kuhn\u2013Tucker points, local proper Pareto optimal points are weak and proper Kuhn\u2013Tucker points, respectively, and strict local Pareto optimal points of order one are weak, proper and strong Kuhn\u2013Tucker points, respectively. The constructions are based on an appropriate generalization of polarity to pairs of matrices and vectors.<\/jats:p>","DOI":"10.1007\/s10957-023-02256-7","type":"journal-article","created":{"date-parts":[[2023,7,22]],"date-time":"2023-07-22T14:01:37Z","timestamp":1690034497000},"page":"1156-1190","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Generalized Polarity and Weakest Constraint Qualifications in Multiobjective Optimization"],"prefix":"10.1007","volume":"198","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9514-6317","authenticated-orcid":false,"given":"Oliver","family":"Stein","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5393-235X","authenticated-orcid":false,"given":"Maximilian","family":"Volk","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,7,22]]},"reference":[{"issue":"2","key":"2256_CR1","doi-asserted-by":"publisher","first-page":"431","DOI":"10.1023\/A:1017574608034","volume":"109","author":"B Aghezzaf","year":"2001","unstructured":"Aghezzaf, B., Hachimi, M.: On a gap between multiobjective optimization and scalar optimization. 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