A Novel Comparative Linguistic Distance Measure Based on Hesitant Fuzzy Linguistic Term Sets and Its Application in Group Decision-Making
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 o...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Springer
2018-11-01
|
| Series: | International Journal of Computational Intelligence Systems |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/125905643/view |
| _version_ | 1818006390286843904 |
|---|---|
| author | Mei Cai Yiming Wang Zaiwu Gong Guo Wei |
| author_facet | Mei Cai Yiming Wang Zaiwu Gong Guo Wei |
| author_sort | Mei Cai |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-14T05:00:29Z |
| format | Article |
| id | doaj.art-26bd07f7031142daa9668b5c2e3b93a5 |
| institution | Directory Open Access Journal |
| issn | 1875-6883 |
| language | English |
| last_indexed | 2024-04-14T05:00:29Z |
| publishDate | 2018-11-01 |
| publisher | Springer |
| record_format | Article |
| series | International Journal of Computational Intelligence Systems |
| spelling | doaj.art-26bd07f7031142daa9668b5c2e3b93a52022-12-22T02:10:58ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832018-11-0112110.2991/ijcis.2018.125905643A Novel Comparative Linguistic Distance Measure Based on Hesitant Fuzzy Linguistic Term Sets and Its Application in Group Decision-MakingMei CaiYiming WangZaiwu GongGuo WeiThe 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.https://www.atlantis-press.com/article/125905643/viewHesitant fuzzy linguistic term set (HFLTS)Comparative linguistic expressionFuzzy group decision making (FGDM)Distance measureAggregation approach |
| spellingShingle | Mei Cai Yiming Wang Zaiwu Gong Guo Wei A Novel Comparative Linguistic Distance Measure Based on Hesitant Fuzzy Linguistic Term Sets and Its Application in Group Decision-Making International Journal of Computational Intelligence Systems Hesitant fuzzy linguistic term set (HFLTS) Comparative linguistic expression Fuzzy group decision making (FGDM) Distance measure Aggregation approach |
| title | A Novel Comparative Linguistic Distance Measure Based on Hesitant Fuzzy Linguistic Term Sets and Its Application in Group Decision-Making |
| title_full | A Novel Comparative Linguistic Distance Measure Based on Hesitant Fuzzy Linguistic Term Sets and Its Application in Group Decision-Making |
| title_fullStr | A Novel Comparative Linguistic Distance Measure Based on Hesitant Fuzzy Linguistic Term Sets and Its Application in Group Decision-Making |
| title_full_unstemmed | A Novel Comparative Linguistic Distance Measure Based on Hesitant Fuzzy Linguistic Term Sets and Its Application in Group Decision-Making |
| title_short | A Novel Comparative Linguistic Distance Measure Based on Hesitant Fuzzy Linguistic Term Sets and Its Application in Group Decision-Making |
| title_sort | novel comparative linguistic distance measure based on hesitant fuzzy linguistic term sets and its application in group decision making |
| topic | Hesitant fuzzy linguistic term set (HFLTS) Comparative linguistic expression Fuzzy group decision making (FGDM) Distance measure Aggregation approach |
| url | https://www.atlantis-press.com/article/125905643/view |
| work_keys_str_mv | AT meicai anovelcomparativelinguisticdistancemeasurebasedonhesitantfuzzylinguistictermsetsanditsapplicationingroupdecisionmaking AT yimingwang anovelcomparativelinguisticdistancemeasurebasedonhesitantfuzzylinguistictermsetsanditsapplicationingroupdecisionmaking AT zaiwugong anovelcomparativelinguisticdistancemeasurebasedonhesitantfuzzylinguistictermsetsanditsapplicationingroupdecisionmaking AT guowei anovelcomparativelinguisticdistancemeasurebasedonhesitantfuzzylinguistictermsetsanditsapplicationingroupdecisionmaking AT meicai novelcomparativelinguisticdistancemeasurebasedonhesitantfuzzylinguistictermsetsanditsapplicationingroupdecisionmaking AT yimingwang novelcomparativelinguisticdistancemeasurebasedonhesitantfuzzylinguistictermsetsanditsapplicationingroupdecisionmaking AT zaiwugong novelcomparativelinguisticdistancemeasurebasedonhesitantfuzzylinguistictermsetsanditsapplicationingroupdecisionmaking AT guowei novelcomparativelinguisticdistancemeasurebasedonhesitantfuzzylinguistictermsetsanditsapplicationingroupdecisionmaking |