{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,18]],"date-time":"2024-06-18T08:40:12Z","timestamp":1718700012754},"reference-count":35,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Info. Tech. Dec. Mak."],"published-print":{"date-parts":[[2024,5]]},"abstract":"<jats:p> In this paper, we consider multi-criteria decision-making problems of selecting the best decision alternative in which the preferences of the decision maker are given in the form of quasi-orders. If the decision maker\u2019s preferences are modeled by a family of complete quasi-orders (in particular, by a parametric family of additive value functions) then a common approach to solving such problems is based on the notion of potential optimality. In this paper, we consider the case in which the decision maker\u2019s preferences are modeled by a family of incomplete quasi-orders. We suggest a new approach to selecting decision alternatives by introducing the notion of potential nondominated alternatives. Such alternatives can be regarded as candidates for the best alternative. We investigate properties of the sets of potential nondominated alternatives and, for the case of a parametric family of partial quasi-orders, we develop a method of their identification. Our development is illustrated by numerical examples. <\/jats:p>","DOI":"10.1142\/s0219622022500808","type":"journal-article","created":{"date-parts":[[2022,10,7]],"date-time":"2022-10-07T17:20:52Z","timestamp":1665163252000},"page":"1401-1422","source":"Crossref","is-referenced-by-count":0,"title":["Potential Nondominance in Multi-Criteria Decision Analysis"],"prefix":"10.1142","volume":"23","author":[{"given":"Vladislav","family":"Podinovski","sequence":"first","affiliation":[{"name":"National Research University Higher School of Economics, Moscow 101000, Russian Federation"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andrey","family":"Nelyubin","sequence":"additional","affiliation":[{"name":"Institute of Machines Science of the RAS, Moscow 101990, Russian Federation"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2022,11,19]]},"reference":[{"key":"S0219622022500808BIB001","volume-title":"Decisions with Multiple Objectives: Preferences and Value Tradeoffs","author":"Keeney R. 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