基于原子偏好理论的直觉模糊偏好成因分析

Study on Cause of Intuitionistic Fuzzy Preference Based on Atomic Preference Theory

Atanassov在Zadeh的基础上提出了直觉模糊集,把选择中行动主体的模糊偏好分为三个组成部分:隶属度、非隶属度和犹豫度。这一分析方法较为贴近行动主体的实际选择。然而直觉模糊偏好何以能够形成,是直觉模糊理论所需要研究的基本问题。原子偏好基于逻辑原子主义思想而提出,通过原子偏好建构偏好的过程,就是行动主体形成事物间偏好关系的过程。直觉模糊偏好之所以能够形成,根本的原因在于形成行动主体的原子偏好中,有些是不可比较性原子偏好。

Based on Zadeh＇ s theory, Atanassov proposed intuitive fuzzy preference set theory which divided agent＇ s fuzzy preference into three elements, degree of membership, degree of non-member- ship, and degree of hesitation. This method is close to practical choice situation. However, how the intuitive fuzzy preference can be formed is a fundamental topic for theory of intuitive fuzzy preference. Atomic preference is put forward on the basis of Logical Atomism, construction of preference through atomic preference is the process by which agent formed his relation of preference between alternatives. The essential reason why intuitive fuzzy preference can be formed is that the incomparable or immeas- urable atomic preferences are existing among atomic preferences.