General Complex-Valued Grouping Functions
Grouping function is a special kind of aggregation function which measures the amount of evidence in favor of either of the two choices. Recently, complex fuzzy sets have been successfully used in many fields. This paper extends the concept of grouping functions to the complex-valued setting. We int...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5793151 |
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| _version_ | 1832546062092468224 |
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| author | Ying Chen Lvqing Bi Bo Hu Songsong Dai |
| author_facet | Ying Chen Lvqing Bi Bo Hu Songsong Dai |
| author_sort | Ying Chen |
| collection | DOAJ |
| description | Grouping function is a special kind of aggregation function which measures the amount of evidence in favor of either of the two choices. Recently, complex fuzzy sets have been successfully used in many fields. This paper extends the concept of grouping functions to the complex-valued setting. We introduce the concepts of complex-valued grouping, complex-valued 0-grouping, complex-valued 1-grouping, and general complex-valued grouping functions. We present some interesting results and construction methods of general complex-valued grouping functions. |
| format | Article |
| id | doaj-art-5f203391f9974b2ca728fb1a431bb680 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-5f203391f9974b2ca728fb1a431bb6802025-02-03T07:24:00ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/57931515793151General Complex-Valued Grouping FunctionsYing Chen0Lvqing Bi1Bo Hu2Songsong Dai3School of Electronics and Information Engineering, Taizhou University, Taizhou 318000, ChinaSchool of Electronics and Communication Engineering, Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin 537000, ChinaSchool of Big Data and Computer Science, Guizhou Normal University, Guiyang 550025, ChinaSchool of Electronics and Information Engineering, Taizhou University, Taizhou 318000, ChinaGrouping function is a special kind of aggregation function which measures the amount of evidence in favor of either of the two choices. Recently, complex fuzzy sets have been successfully used in many fields. This paper extends the concept of grouping functions to the complex-valued setting. We introduce the concepts of complex-valued grouping, complex-valued 0-grouping, complex-valued 1-grouping, and general complex-valued grouping functions. We present some interesting results and construction methods of general complex-valued grouping functions.http://dx.doi.org/10.1155/2021/5793151 |
| spellingShingle | Ying Chen Lvqing Bi Bo Hu Songsong Dai General Complex-Valued Grouping Functions Journal of Mathematics |
| title | General Complex-Valued Grouping Functions |
| title_full | General Complex-Valued Grouping Functions |
| title_fullStr | General Complex-Valued Grouping Functions |
| title_full_unstemmed | General Complex-Valued Grouping Functions |
| title_short | General Complex-Valued Grouping Functions |
| title_sort | general complex valued grouping functions |
| url | http://dx.doi.org/10.1155/2021/5793151 |
| work_keys_str_mv | AT yingchen generalcomplexvaluedgroupingfunctions AT lvqingbi generalcomplexvaluedgroupingfunctions AT bohu generalcomplexvaluedgroupingfunctions AT songsongdai generalcomplexvaluedgroupingfunctions |