基于Sugeno积分形式的犹豫模糊多属性决策方法  

The Method of Hesitant Fuzzy Multiple Attribute Decision Making Based on the Sugeno Integral Form

作　　者：岳娜 谢加良[1] 陈水利[2] YUE Na;XIE Jialiang;CHEN Shuili(School of Science, Jimei University, Xiamen 361021, Fujian;Research Promotion Office, Chengyi College, Jimei University, Xiamen 361021, Fujian)

机构地区：[1]集美大学理学院,福建厦门361021 [2]集美大学诚毅学院科研促进部,福建厦门361021

出　　处：《四川师范大学学报（自然科学版）》2019年第1期86-91,共6页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(11771134);福建省自然科学基金(2017J01558)

摘　　要：给出在犹豫模糊不确定决策信息背景下,属性间相互关联、相互作用时的多属性决策方法.通过定义基于Sugeno积分形式的犹豫模糊算子,讨论并证明其幂等性、单调性、有界性和可交换性等集成性质;给出基于Sugeno积分形式的犹豫模糊多属性决策方法,并实例验证在多属性决策实际问题中的应用.In this paper,we present a multiple attribute decision-making method in the context of hesitant fuzzy and uncertain decision-making information,in which the attributes are related and interact with each other.By defining hesitant fuzzy operator based on the Sugeno integral form,we discuss and provethe properties of aggregation function,such as idempotency,monotonicity,boundedness and commutativity,etc.We give the hesitant fuzzy multiple attribute decision-making method based on the Sugeno integral form,and use an actual example to verify the application of the practical problems in multiple attribute decision-making.

关 键 词：犹豫模糊集 多属性决策 Sugeno积分 非可加测度 λ-测度 

分 类 号：O159[理学—数学]