摘要
模糊偏好关系在群决策中得到了广泛研究,针对犹豫直觉模糊集既能反映决策者偏好和非偏好的信息,又能描述其犹豫心理的特点,提出了犹豫直觉模糊偏好关系及其积性一致性的定义。为了修复不一致的犹豫直觉模糊偏好关系,先构建积性一致性指标,然后提出两种修复方法。最后,将犹豫直觉模糊偏好关系应用到群决策中,通过实例和比较说明了两种修复方法的有效性和合理性。
Fuzzy preference relations(FPRs) have been intensively researched in group decision making. The hesitant-intuitionistic fuzzy sets(HIFs) can not only reflect the decision makers’ preference and non-preference, but also describe the characteristics of hesitancy. In this paper, the definition of the hesitant-intuitionistic fuzzy preference relations(HIFPRs) and its multiplicative consistency is proposed. In order to repair the inconsistent HIFPRs, the multiplicative consistency index is constructed at first, and two novel adjustment methods are proposed to obtain the acceptable consistent HIFPRs. Finally, the HIFPRs is applied to the group decision making, and the effectiveness and rationality of the two adjustment methods are illustrated by an example and comparison.
作者
俞锦涛
王金山
YU Jin-tao;WANG Jin-shan(Department of Graduate,Air Force Early Warning Academy,Wuhan 430019,China;Department of Basic Sciences,Army Academy of Artillery and Air Defense,Hefei 230031,China)
出处
《模糊系统与数学》
北大核心
2020年第1期114-121,共8页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(41475025)
安徽省自然基金资助项目(1408085MA06)。
关键词
犹豫直觉模糊偏好关系
积性一致性
群决策
目标规划
Hesitant-intuitionistic Fuzzy Preference Relations
Multiplicative Consistency
Group Decision Making
Objective Programming
