Incomplete Fuzzy Soft Sets and Their Application to Decision-Making
The research of incomplete fuzzy soft sets is of paramount importance in fuzzy soft sets, where the combination of incomplete fuzzy soft set and decision-making problem is of great significance. Incomplete information in fuzzy soft sets leads to more uncertainty and ambiguity in decision-making. The...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-04-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/11/4/535 |
| _version_ | 1817992830416584704 |
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| author | Lu Wang Keyun Qin |
| author_facet | Lu Wang Keyun Qin |
| author_sort | Lu Wang |
| collection | DOAJ |
| description | The research of incomplete fuzzy soft sets is of paramount importance in fuzzy soft sets, where the combination of incomplete fuzzy soft set and decision-making problem is of great significance. Incomplete information in fuzzy soft sets leads to more uncertainty and ambiguity in decision-making. The focus of this paper to propose an algorithm of fuzzy soft set based decision-making problems under incomplete information. On the basis of the weighted function, we introduce the notions of weighted incomplete soft sets and weighted incomplete fuzzy soft sets, and show an approach to weighted incomplete fuzzy soft sets for dealing with decision-making. Considering the missing weight function, the concept of incomplete weighted fuzzy soft sets is presented. Meanwhile, we apply the incomplete weighted fuzzy soft sets to solve the decision-making problem. As modal-style operators for fuzzy soft sets have a precise description of attributes possessed by objects, we apply modal-style operator for incomplete fuzzy soft set to deal with decision-making and propose a new algorithm to make it more accurate and simple. |
| first_indexed | 2024-04-14T01:32:23Z |
| format | Article |
| id | doaj.art-e5d3fd75febb4e718379d8e3b525008f |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-14T01:32:23Z |
| publishDate | 2019-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-e5d3fd75febb4e718379d8e3b525008f2022-12-22T02:20:09ZengMDPI AGSymmetry2073-89942019-04-0111453510.3390/sym11040535sym11040535Incomplete Fuzzy Soft Sets and Their Application to Decision-MakingLu Wang0Keyun Qin1College of Mathematics, Southwest Jiaotong University, Chengdu 610030, ChinaCollege of Mathematics, Southwest Jiaotong University, Chengdu 610030, ChinaThe research of incomplete fuzzy soft sets is of paramount importance in fuzzy soft sets, where the combination of incomplete fuzzy soft set and decision-making problem is of great significance. Incomplete information in fuzzy soft sets leads to more uncertainty and ambiguity in decision-making. The focus of this paper to propose an algorithm of fuzzy soft set based decision-making problems under incomplete information. On the basis of the weighted function, we introduce the notions of weighted incomplete soft sets and weighted incomplete fuzzy soft sets, and show an approach to weighted incomplete fuzzy soft sets for dealing with decision-making. Considering the missing weight function, the concept of incomplete weighted fuzzy soft sets is presented. Meanwhile, we apply the incomplete weighted fuzzy soft sets to solve the decision-making problem. As modal-style operators for fuzzy soft sets have a precise description of attributes possessed by objects, we apply modal-style operator for incomplete fuzzy soft set to deal with decision-making and propose a new algorithm to make it more accurate and simple.https://www.mdpi.com/2073-8994/11/4/535incomplete fuzzy soft setweighted incomplete fuzzy soft setincomplete weighted fuzzy soft setmodal-style operatordecision-making |
| spellingShingle | Lu Wang Keyun Qin Incomplete Fuzzy Soft Sets and Their Application to Decision-Making Symmetry incomplete fuzzy soft set weighted incomplete fuzzy soft set incomplete weighted fuzzy soft set modal-style operator decision-making |
| title | Incomplete Fuzzy Soft Sets and Their Application to Decision-Making |
| title_full | Incomplete Fuzzy Soft Sets and Their Application to Decision-Making |
| title_fullStr | Incomplete Fuzzy Soft Sets and Their Application to Decision-Making |
| title_full_unstemmed | Incomplete Fuzzy Soft Sets and Their Application to Decision-Making |
| title_short | Incomplete Fuzzy Soft Sets and Their Application to Decision-Making |
| title_sort | incomplete fuzzy soft sets and their application to decision making |
| topic | incomplete fuzzy soft set weighted incomplete fuzzy soft set incomplete weighted fuzzy soft set modal-style operator decision-making |
| url | https://www.mdpi.com/2073-8994/11/4/535 |
| work_keys_str_mv | AT luwang incompletefuzzysoftsetsandtheirapplicationtodecisionmaking AT keyunqin incompletefuzzysoftsetsandtheirapplicationtodecisionmaking |