On Properties and the Corresponding Problems of Triangular Fuzzy Number Complementary Preference Relations
On Properties and the Corresponding Problems of Triangular Fuzzy Number Complementary Preference Relations
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DOI：
10.1007/11881599_38
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发表时间：
2006-09
期刊：
影响因子：
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通讯作者：
Zaiwu Gong;Sifeng Liu
中科院分区：
文献类型：
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作者：
Zaiwu Gong;Sifeng Liu
研究了模糊互补偏好关系的性质。基于模糊互补偏好关系与互惠模糊偏好关系的转换，提出了模糊互补偏好关系的加性一致性定义，给出了模糊互补偏好关系的受限最大-最小传递性、受限最大-最大传递性和弱单调性概念。利用三角模糊数的比较方法，研究了一致模糊互补偏好关系及其性质之间的内在联系。给出了一种基于OWA运算的模糊互补偏好关系的聚合方法。同时，本文还提出了一种判断模糊互补偏好关系是否具有满足传递性的算法。最后通过数值算例说明该方法的可行性和有效性。
Properties of fuzzy complementary preference relation have been studied. Based on the transformation between fuzzy complementary preference relation and reciprocal fuzzy preference relation, this paper proposes definitions of additive consistency for fuzzy complementary preference relation, gives the concepts of restricted max-min transitivity, restricted max-max transitivity and weak monotonicity for fuzzy complementary preference relation. Using the comparative method of triangular fuzzy number, the inherent relationships between the consistent fuzzy complementary preference relation and their properties are studied. It is also given an aggregation method for fuzzy complementary preference relation based on OWA operation. At the same time, this paper also proposes an algorithm that can judge whether a fuzzy complementary preference relation has the property of satisfied transitivity. Finally, it is illustrated by a numerical example that this method is feasible and effective.