Montero De Juan, Francisco JavierTejada Cazorla, Juan Antonio2023-06-212023-06-211986-08Montero, J., Tejada, J.: Some problems on the definition of fuzzy preference relations. Fuzzy Sets and Systems. 20, 45-53 (1986). https://doi.org/10.1016/S0165-0114(86)80030-60165-011410.1016/S0165-0114(86)80030-6https://hdl.handle.net/20.500.14352/64658In this paper we deal with decision-making problems over an unfuzzy set of alternatives. On one hand, we propose the problem of finding a max-min transitive relation as near as possible to a given initial preference relation, under the least-squares criterion and such that it does not introduce deep qualitative changes. On the other hand, we define a linear extension of the initial preference relation between alternatives to a preference relation between lotteries.engjournal articlehttps//doi.org/10.1016/S0165-0114(86)80030-6http://www.sciencedirect.com/science/article/pii/S0165011486800306restricted access519.22Decision makingFuzzy relationsNondominated alternativesEstadística matemática (Matemáticas)1209 Estadística