加型一致性毕达哥拉斯模糊偏好关系

在模糊偏好关系两种等价的加型一致性概念基础上,通过简单的数学证明,分析了区间值模糊偏好关系、直觉模糊偏好关系的相应的两种加型一致性并不是等价的.然后,在加型一致性直觉模糊偏好关系的启发下,构造了可以与毕达哥拉斯模糊偏好关系相互转换的两个区间值模糊偏好关系,并利用它们的加型一致性,定义了加型一致性毕达哥拉斯模糊偏好关系,并分析了其与杨艺等定义的加型一致性毕达哥拉斯模糊偏好关系的关系.其次,研究了加型一致性毕达哥拉斯模糊偏好关系的性质以及毕达哥拉斯模糊偏好关系的满意一致性,并给出满意一致性毕达哥拉斯模糊偏好关系下的方案优劣排序算法.最后,通过两个计算实例说明了排序算法可行有效.

Additive Consistent Pythagorean Fuzzy Preference Relation

Based on the two equivalent definitions of additive consistent fuzzy preference relation,it is found through a simple mathematical derivation that the corresponding two additive consistency of intervalvalued fuzzy preference relation(IVFPR)and intuitionistic fuzzy preference relation(IFPR)are respectively not equivalent.Then,inspired by additive consistent intuitionistic fuzzy preference relation(IFPR),the two equivalent IVFPRs of Pythagorean fuzzy preference relation(PFPR)are introduced.Based on the additive consistent of IVFPR,the additive consistent PFPR is defined and its relation with another additive consistent PFPR defined by Yang Yi et al is discussed.Furthermore,some properties of additive consistent PFPR are discussed,and some theorems and the algorithm to judge the weak transitivity of a PFPR is developed.Lastly,two numerical examples are used to illustrate that the proposed algorithm is feasible and effective.