International Journal of Computational Intelligence Systems

Volume 12, Issue 1, November 2018, Pages 227 - 237

A Novel Comparative Linguistic Distance Measure Based on Hesitant Fuzzy Linguistic Term Sets and Its Application in Group Decision-Making

Authors
Mei Cai1, *, Yiming Wang1, Zaiwu Gong1, Guo Wei2
1School of Management Science and Engineering, Nanjing University of Information Science & Technology, Nanjing, Jiangsu, 210044, China
2Department of Mathematics & Computer Science, University of North Carolina at Pembroke, North Carolina, 28372, United States of America
*

Corresponding author. Email: sanmoon_1980@163.com

Received 20 August 2018, Accepted 30 December 2018, Available Online 14 January 2019.
DOI
https://doi.org/10.2991/ijcis.2018.125905643How to use a DOI?
Keywords
Hesitant fuzzy linguistic term set (HFLTS); Comparative linguistic expression; Fuzzy group decision making (FGDM); Distance measure; Aggregation approach
Abstract

The linguistic approaches are required in order to assess qualitative aspects of many real problems. In most of these problems, decision makers only adopt single and very simple terms which would not reflect exactly what the experts mean for many intricate applications. Frequently, the assessments of decision making problems involve comparative linguistic expressions. Accordingly, we propose a novel distance measure between hesitant fuzzy linguistic term sets (HFLTSs) to solve fuzzy group decision making (FGDM) problems. Firstly we define the characteristic functions to describe the HFLTSs transformed from comparative linguistic expressions. Then we construct a weighted HFLTSs graph containing all notes in the HFLTSs. Distances in the graph of individual assessments are defined by measures considering diversity and specificity of HFLTS’s granularity. We put forward a new approach to achieve aggregation results for group decision making to realize the minimal distances with individual assessments. Finally, numerical examples are illustrated.

Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
12 - 1
Pages
227 - 237
Publication Date
2019/01/14
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
https://doi.org/10.2991/ijcis.2018.125905643How to use a DOI?
Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Mei Cai
AU  - Yiming Wang
AU  - Zaiwu Gong
AU  - Guo Wei
PY  - 2019
DA  - 2019/01/14
TI  - A Novel Comparative Linguistic Distance Measure Based on Hesitant Fuzzy Linguistic Term Sets and Its Application in Group Decision-Making
JO  - International Journal of Computational Intelligence Systems
SP  - 227
EP  - 237
VL  - 12
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.2018.125905643
DO  - https://doi.org/10.2991/ijcis.2018.125905643
ID  - Cai2019
ER  -