Application of Choquet Integral-Fuzzy Measures for Aggregating Customers’ Satisfaction
Choquet integral is a type of aggregation operator that is commonly used to aggregate the interrelated information. Nowadays, this operator has been successfully embedded with fuzzy measures in solving various evaluation problems. Inspired from this new development, this paper aims to introduce a co...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2021/2319004 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561527265165312 |
|---|---|
| author | Lazim Abdullah Noor Azzah Awang Mahmod Othman |
| author_facet | Lazim Abdullah Noor Azzah Awang Mahmod Othman |
| author_sort | Lazim Abdullah |
| collection | DOAJ |
| description | Choquet integral is a type of aggregation operator that is commonly used to aggregate the interrelated information. Nowadays, this operator has been successfully embedded with fuzzy measures in solving various evaluation problems. Inspired from this new development, this paper aims to introduce a combined Choquet integral-fuzzy measures (CI-FM) operator that uses the Shapley value standard and interaction index to deal with the interactions between elements of information. The proposed operator takes into account not only the importance of elements or their ordered positions but also the interaction among criteria during the evaluation process. A case of customers’ satisfaction over two fast restaurants in Malaysia is presented to illustrate the application of the proposed aggregation operator. Based on three customers’ satisfaction criteria, restaurant 1 and restaurant 2 received CI-FM scores of 0.711011 and 0.704945, respectively. Interestingly, the criterion “services” constantly received the highest rating across both restaurants. In addition, the proposed aggregation operator successfully identified which restaurant is superior in the eyes of customers. Finally, this study offers some research ideas for the future. |
| format | Article |
| id | doaj-art-c280bea87b51428796183122e1268df1 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-c280bea87b51428796183122e1268df12025-02-03T01:24:51ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2021-01-01202110.1155/2021/23190042319004Application of Choquet Integral-Fuzzy Measures for Aggregating Customers’ SatisfactionLazim Abdullah0Noor Azzah Awang1Mahmod Othman2Management Science Research Group, Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Kuala Nerus 21030, MalaysiaFaculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Shah Alam 40450, Selangor, MalaysiaFundamental and Applied Sciences Department, Universiti Teknologi PETRONAS, Seri Iskandar 32610, Perak, MalaysiaChoquet integral is a type of aggregation operator that is commonly used to aggregate the interrelated information. Nowadays, this operator has been successfully embedded with fuzzy measures in solving various evaluation problems. Inspired from this new development, this paper aims to introduce a combined Choquet integral-fuzzy measures (CI-FM) operator that uses the Shapley value standard and interaction index to deal with the interactions between elements of information. The proposed operator takes into account not only the importance of elements or their ordered positions but also the interaction among criteria during the evaluation process. A case of customers’ satisfaction over two fast restaurants in Malaysia is presented to illustrate the application of the proposed aggregation operator. Based on three customers’ satisfaction criteria, restaurant 1 and restaurant 2 received CI-FM scores of 0.711011 and 0.704945, respectively. Interestingly, the criterion “services” constantly received the highest rating across both restaurants. In addition, the proposed aggregation operator successfully identified which restaurant is superior in the eyes of customers. Finally, this study offers some research ideas for the future.http://dx.doi.org/10.1155/2021/2319004 |
| spellingShingle | Lazim Abdullah Noor Azzah Awang Mahmod Othman Application of Choquet Integral-Fuzzy Measures for Aggregating Customers’ Satisfaction Advances in Fuzzy Systems |
| title | Application of Choquet Integral-Fuzzy Measures for Aggregating Customers’ Satisfaction |
| title_full | Application of Choquet Integral-Fuzzy Measures for Aggregating Customers’ Satisfaction |
| title_fullStr | Application of Choquet Integral-Fuzzy Measures for Aggregating Customers’ Satisfaction |
| title_full_unstemmed | Application of Choquet Integral-Fuzzy Measures for Aggregating Customers’ Satisfaction |
| title_short | Application of Choquet Integral-Fuzzy Measures for Aggregating Customers’ Satisfaction |
| title_sort | application of choquet integral fuzzy measures for aggregating customers satisfaction |
| url | http://dx.doi.org/10.1155/2021/2319004 |
| work_keys_str_mv | AT lazimabdullah applicationofchoquetintegralfuzzymeasuresforaggregatingcustomerssatisfaction AT noorazzahawang applicationofchoquetintegralfuzzymeasuresforaggregatingcustomerssatisfaction AT mahmodothman applicationofchoquetintegralfuzzymeasuresforaggregatingcustomerssatisfaction |