Montero De Juan, Francisco Javier2023-06-202023-06-2019880296-3698https://hdl.handle.net/20.500.14352/59510This paper deals with decision-making problems where a fuzzy preference relation with no unfuzzy nondominated alternatives has been defined. Two types of expended problems (randomized and fuzzified) are considered in order to get solution. In this first part randomized extended fuzzy relations are analyszed, and its connection with Fishburn's SSB utilyty theory is stablished.engjournal articlehttp://www.polytech.univ-savoie.fr/fileadmin/polytech_autres_sites/sites/listic/busefal/Papers/33.zip/33_17.pdfopen access519.8Fuzzy preference relationDecisin makingNondominated alternativesSSB utility theoryInvestigación operativa (Matemáticas)1207 Investigación Operativa