直觉非下模糊理性选择函数的刻画

Characterization of Fuzzy Rational Choice Function Under Intuitive Negation

  • 摘要: 利用模糊化以后的Schwartz条件,在直觉非下研究了理性模糊选择函数的刻画问题.在选择集为正规模糊集的假设前提下,得出模糊化以后的Schwartz条件仅仅是刻画模糊选择函数拟传递、伪传递及半序理性化的充分条件,同时用实例说明其不再是必要条件.

     

    Abstract: The rationality of fuzzy choice function is characterized based on the intuitive negation and the fuzzy Schwartzs conditions. Under the assumption that every choice set is normal, the conditions so defined are proved to be sufficient to guarantee the quasi-transitive, pseudo-transitive and semi-order rationality of fuzzy choice functions but no longer to be necessary for the rationality, as is illustrated through an example.

     

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