Preference Modelling, Paperback by Roubens, Marc; Vincke, Philippe, Like New ...
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Preference Modelling, Paperback by Roubens, Marc; Vincke, Philippe, Like New .... Preference Modelling, Paperback by Roubens, Marc; Vincke, Philippe, ISBN 3540156852, ISBN-13 9783540156857, Like New Used, Free shipping in the US The following scheme summarizes the different families introduced in this chapter and the connections between them. Family of interval orders f Row-homogeneous Column-homogeneous Family of family of interval semi orders family of interval orders orders Homogeneous family of i nterva 1 orders Homogeneous family of semi orders Family of weak orders 85 . EXAMPLES We let to the reader the verification of the following assertions. Example 1 is a family of interval orders which is neither row-homogeneous nor column-homogeneous. Example 2 is a column-homogeneous family of interval orders which is not row-homogeneous but where each interval order is a semiorder. Example 3 is an homogeneous family of interval orders which are not semiorders. Example 4 is an homogeneous family of semi orders . . 8 ~ --,b ~---i>--- C a .2 d c Example Example 2 .8 .6 c .5 a 0 a d Example 3 Example 4 . REFERENCES DOIGNON. •• Generalizations of interval orders. in E. Degreef and J. Van Buggenhaut (eds). T~ndS in MathematiaaZ PsyahoZogy. Elsevier Science Publishers . (North-Holland), Amsterdam, 1984. FISHBURN. ., Intransitive indifference with unequal indifference intervals. J. Math. Psyaho.~ 7 (1970) 144-149. FISHBURN. ., Binary choice probabilities: on the varieties of stochastic transitivity. J. Math. Psyaho.~ 10 (1973) 327-352.
