多粒度犹豫模糊语言信息融合方法及其在群决策中的应用

陈余杰, 朱兰萍, 魏翠萍

系统科学与数学 ›› 2022, Vol. 42 ›› Issue (2) : 355-369.

PDF(658 KB)
PDF(658 KB)
系统科学与数学 ›› 2022, Vol. 42 ›› Issue (2) : 355-369. DOI: 10.12341/jssms21047

多粒度犹豫模糊语言信息融合方法及其在群决策中的应用

    陈余杰, 朱兰萍, 魏翠萍
作者信息 +

A Fusion Method of Multi-Granular Hesitant Fuzzy Linguistic Information and Its Application in Group Decision Making

    CHEN Yujie, ZHU Lanping, WEI Cuiping
Author information +
文章历史 +

摘要

研究多粒度犹豫模糊语言信息的融合与转换问题.首先定义了隶属度语言术语集的概念、提出了隶属度语言术语集进行比较的可能度方法,然后基于语言术语集的区间语义,给出多粒度犹豫模糊语言术语集转换为目标语言术语集下的隶属度语言术语集的方法.为了使群体融合结果能在原始粒度下进行解释,提出了隶属度语言术语集从目标粒度到原始粒度的转换方法.最后把提出的方法应用于多粒度群体决策问题,并以医疗废物处理技术的选择案例进行了说明.

Abstract

In this paper, we investigate the integration and transformation problems of multi-granular hesitant fuzzy linguistic information. Based on the definition of a membership linguistic term set, we give the possibility degree comparison method for membership linguistic term sets. According to the interval semantics of linguistic term sets, a method is developed for converting multi-granular hesitant fuzzy linguistic term sets to membership linguistic term sets under the target linguistic term set. Moreover, we give a formula to transform the membership linguistic term set under the target granular set into that under the original granular set. This translation helps decision makers understand the results of group decision-making. Finally, the proposed method is applied to the multi-granular group decision making problem, and illustrated by a case of medical waste treatment technology selection.

关键词

群体决策 / 多粒度语言信息 / 犹豫模糊语言术语集

Key words

Group decision-making / multi-granular linguistic information / hesitant fuzzy linguistic term set

引用本文

导出引用
陈余杰 , 朱兰萍 , 魏翠萍. 多粒度犹豫模糊语言信息融合方法及其在群决策中的应用. 系统科学与数学, 2022, 42(2): 355-369. https://doi.org/10.12341/jssms21047
CHEN Yujie , ZHU Lanping , WEI Cuiping. A Fusion Method of Multi-Granular Hesitant Fuzzy Linguistic Information and Its Application in Group Decision Making. Journal of Systems Science and Mathematical Sciences, 2022, 42(2): 355-369 https://doi.org/10.12341/jssms21047
中图分类号: 90B50   

参考文献

[1] Zhang Z, Guo C. A method for multi-granularity uncertain linguistic group decision making with incomplete weight information. Knowledge-Based Systems, 2012, 26:111-119.
[2] Xu Z. Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment. Information Sciences, 2004, 168(1-4):171-184.
[3] Martínez L, Herrera F. An overview on the 2-tuple linguistic model for computing with words in decision making:Extensions, applications and challenges. Information Sciences, 2012, 207:1-18.
[4] Mendel J M, Wu H. Type-2 fuzzistics for symmetric interval type-2 fuzzy sets:Part 1, forward problems. IEEE Transactions on Fuzzy Systems, 2006, 14(6):781-792.
[5] Li C C, Rodríguez R M, Martínez L, et al. Personalized individual semantics based on consistency in hesitant linguistic group decision making with comparative linguistic expressions. Knowledge-Based Systems, 2018, 145:156-165.
[6] Rodríguez R M, Martínez L, Herrera F. Hesitant fuzzy linguistic term sets for decision making. IEEE Transactions on Fuzzy Systems, 2011, 20(1):109-119.
[7] Herrera F, Herrera-Viedma E, Martínez L. A fusion approach for managing multi-granularity linguistic term sets in decision making. Fuzzy Sets and Systems, 2000, 114(1):43-58.
[8] Chen Z, Ben-Arieh D. On the fusion of multi-granularity linguistic label sets in group decision making. Computers & Industrial Engineering, 2006, 51(3):526-541.
[9] Herrera F, Martínez L. A model based on linguistic 2-tuples for dealing with multigranular hierarchical linguistic contexts in multi-expert decision-making. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 2001, 31(2):227-234.
[10] Huynh V N, Nakamori Y. A satisfactory-oriented approach to multiexpert decision-making with linguistic assessments. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 2005, 35(2):184-196.
[11] Espinilla M, Liu J, Martínez L. An extended hierarchical linguistic model for decision-making problems. Computational Intelligence, 2011, 27(3):489-512.
[12] Meng F, Chen X. A hesitant fuzzy linguistic multi-granularity decision making model based on distance measures. Journal of Intelligent & Fuzzy Systems, 2015, 28(4):1519-1531.
[13] Wei C, Liao H. A multigranularity linguistic group decision-making method based on hesitant 2-tuple sets. International Journal of Intelligent Systems, 2016, 31(6):612-634.
[14] 陈秀明, 刘业政. 基于熵权的多粒度犹豫模糊语言VIKOR群推荐方法. 控制与决策, 2018, 33(1):111-118. (Chen X M, Liu Y Z. Multi-granular hesitant fuzzy linguistic term sets and their application in group recommendation based on entropy measure and VIKOR method. Control and Decision, 2018, 33(1):111-118.)
[15] 于文玉, 仲秋雁, 张震. 权重信息不完全的多粒度犹豫模糊语言群决策. 系统工程理论与实践, 2018, 38(3):777-785. (Yu W Y, Zhong Q Y, Zhang Z. Multi-granular hesitant fuzzy linguistic group decision making with incomplete weight information. Systems Engineering-Theory & Practice, 2018, 38(3):777-785.)
[16] Zhang Z, Gao J, Gao Y, et al. Two-sided matching decision making with multi-granular hesitant fuzzy linguistic term sets and incomplete criteria weight information. Expert Systems with Applications, 2021, 168:114311.
[17] Zhao M, Wu J, Cao M, et al. A DEMATEL and consensus based MCGDM approach for with multi-granularity hesitant fuzzy linguistic term set. Journal of Intelligent & Fuzzy Systems, 2020, DOI:10.3233/JIFS-191805.
[18] Torra V. Hesitant fuzzy sets. International Journal of Intelligent Systems, 2010, 25(6):529-539.
[19] Facchinetti G, Ricci R G, Muzzioli S. Note on ranking fuzzy triangular numbers. International Journal of Intelligent Systems, 1998, 13(7):613-622.

基金

国家自然科学基金(71971190)资助课题.
PDF(658 KB)

397

Accesses

0

Citation

Detail

段落导航
相关文章

/