Interval-Valued Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure and Its Application in Investment Decision-Making
We present the interval-valued intuitionistic fuzzy ordered weighted cosine similarity (IVIFOWCS) measure in this paper, which combines the interval-valued intuitionistic fuzzy cosine similarity measure with the generalized ordered weighted averaging operator. The main advantage of the IVIFOWCS meas...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2017/1891923 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555977260400640 |
|---|---|
| author | Donghai Liu Xiaohong Chen Dan Peng |
| author_facet | Donghai Liu Xiaohong Chen Dan Peng |
| author_sort | Donghai Liu |
| collection | DOAJ |
| description | We present the interval-valued intuitionistic fuzzy ordered weighted cosine similarity (IVIFOWCS) measure in this paper, which combines the interval-valued intuitionistic fuzzy cosine similarity measure with the generalized ordered weighted averaging operator. The main advantage of the IVIFOWCS measure provides a parameterized family of similarity measures, and the decision maker can use the IVIFOWCS measure to consider a lot of possibilities and select the aggregation operator in accordance with his interests. We have studied some of its main properties and particular cases such as the interval-valued intuitionistic fuzzy ordered weighted arithmetic cosine similarity (IVIFOWACS) measure and the interval-valued intuitionistic fuzzy maximum cosine similarity (IVIFMAXCS) measure. The IVIFOWCS measure not only is a generalization of some similarity measure, but also it can deal with the correlation of different decision matrices for interval-valued intuitionistic fuzzy values. Furthermore, we present an application of IVIFOWCS measure to the group decision-making problem. Finally the existing similarity measures are compared with the IVIFOWCS measure by an illustrative example. |
| format | Article |
| id | doaj-art-2da9e618fc46440ba9b8b23b2441bee1 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-2da9e618fc46440ba9b8b23b2441bee12025-02-03T05:46:33ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/18919231891923Interval-Valued Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure and Its Application in Investment Decision-MakingDonghai Liu0Xiaohong Chen1Dan Peng2School of Business, Central South University, Changsha, ChinaSchool of Business, Central South University, Changsha, ChinaDepartment of Mathematics, Hunan University of Science and Technology, Xiangtan, ChinaWe present the interval-valued intuitionistic fuzzy ordered weighted cosine similarity (IVIFOWCS) measure in this paper, which combines the interval-valued intuitionistic fuzzy cosine similarity measure with the generalized ordered weighted averaging operator. The main advantage of the IVIFOWCS measure provides a parameterized family of similarity measures, and the decision maker can use the IVIFOWCS measure to consider a lot of possibilities and select the aggregation operator in accordance with his interests. We have studied some of its main properties and particular cases such as the interval-valued intuitionistic fuzzy ordered weighted arithmetic cosine similarity (IVIFOWACS) measure and the interval-valued intuitionistic fuzzy maximum cosine similarity (IVIFMAXCS) measure. The IVIFOWCS measure not only is a generalization of some similarity measure, but also it can deal with the correlation of different decision matrices for interval-valued intuitionistic fuzzy values. Furthermore, we present an application of IVIFOWCS measure to the group decision-making problem. Finally the existing similarity measures are compared with the IVIFOWCS measure by an illustrative example.http://dx.doi.org/10.1155/2017/1891923 |
| spellingShingle | Donghai Liu Xiaohong Chen Dan Peng Interval-Valued Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure and Its Application in Investment Decision-Making Complexity |
| title | Interval-Valued Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure and Its Application in Investment Decision-Making |
| title_full | Interval-Valued Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure and Its Application in Investment Decision-Making |
| title_fullStr | Interval-Valued Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure and Its Application in Investment Decision-Making |
| title_full_unstemmed | Interval-Valued Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure and Its Application in Investment Decision-Making |
| title_short | Interval-Valued Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure and Its Application in Investment Decision-Making |
| title_sort | interval valued intuitionistic fuzzy ordered weighted cosine similarity measure and its application in investment decision making |
| url | http://dx.doi.org/10.1155/2017/1891923 |
| work_keys_str_mv | AT donghailiu intervalvaluedintuitionisticfuzzyorderedweightedcosinesimilaritymeasureanditsapplicationininvestmentdecisionmaking AT xiaohongchen intervalvaluedintuitionisticfuzzyorderedweightedcosinesimilaritymeasureanditsapplicationininvestmentdecisionmaking AT danpeng intervalvaluedintuitionisticfuzzyorderedweightedcosinesimilaritymeasureanditsapplicationininvestmentdecisionmaking |