q阶犹豫模糊集及其在决策中的应用

doi:10.16451/j.cnki.issn1003-6059.201809005

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摘要

定义q阶模糊集的数乘、算术、几何等基本运算,研究运算的性质.结合犹豫模糊集与q阶模糊集,提出q阶犹豫模糊集的概念,定义q阶犹豫模糊集的一些运算并研究基本性质,提出q阶犹豫模糊集的得分函数和精确函数,实现q阶犹豫模糊集的对比.基于q阶犹豫模糊集的基本运算法则,构建q阶犹豫模糊集的多属性群决策模型,并通过实例验证此决策模型的可行性和有效性.

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	徐玥
	刘练珍

关键词 ： q阶模糊集, 犹豫模糊集, q阶犹豫模糊集, 决策

Abstract：

Basic operations of q-rung fuzzy sets are defined, and some of their properties are studied. By combining q-rung fuzzy sets and hesitant fuzzy sets, the concept of q-rung hesitant fuzzy sets is proposed. Then, some basic operations of q-rung hesitant fuzzy sets are defined and their properties are studied. Score functions and accuracy functions of q-rung hesitant fuzzy sets are defined. Based on the operations of q-rung hesitant fuzzy sets, the multi-criteria decision making model is constructed, and the feasibility and validity of the proposed model are verified by examples.

Key words： q-Rung Fuzzy Sets Hesitant Fuzzy Sets q-Rung Hesitant Fuzzy Sets Decision-Making

收稿日期: 2018-06-07

ZTFLH:	TP 181
	O 159

基金资助:

国家自然科学基金项目(No.11701258,11871259，11526109)、福建省自然科学基金项目(No.2016J01671，2016J01315, 2017J01771, 2017J01507)、福建省高校杰出青年科研人才培养计划项目资助

作者简介: 张燕兰 (通讯作者),博士,副教授,主要研究方向为粒计算、不确定性理论.E-mail:zyl_1983_2004@163.com.李长清,博士,副教授,主要研究方向为粗糙集理论.E-mail:helen_smile0320@163.com.

引用本文:

徐玥，刘练珍. q阶犹豫模糊集及其在决策中的应用[J]. 模式识别与人工智能, 2018, 31(9): 816-836. XU Yue, LIU Lianzhen. Q-Rung Hesitant Fuzzy Sets and Its Application to Multi-criteria Decision-Making. , 2018, 31(9): 816-836.

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