A New Intuitionistic Fuzzy Entropy and Application in Multi-Attribute Decision Making
In this paper, firstly, a new intuitionistic fuzzy (IF) entropy has been put forward, which considered both the uncertainty and the hesitancy degree of IF sets. Through comparing with other entropy measures, the advantage of the new entropy measure is obvious. Secondly, based on the new entropy meas...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2014-11-01
|
| Series: | Information |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2078-2489/5/4/587 |
| _version_ | 1819144409140166656 |
|---|---|
| author | Manfeng Liu Haiping Ren |
| author_facet | Manfeng Liu Haiping Ren |
| author_sort | Manfeng Liu |
| collection | DOAJ |
| description | In this paper, firstly, a new intuitionistic fuzzy (IF) entropy has been put forward, which considered both the uncertainty and the hesitancy degree of IF sets. Through comparing with other entropy measures, the advantage of the new entropy measure is obvious. Secondly, based on the new entropy measure, a new decision making method of a multi-attribute decision making problem was subsequently put forward, in which attribute values are expressed with IF values. In the cases of attribute weights, completely unknown and attribute weights are partially known. Two methods were constructed to determine them. One method is an extension of the ordinary entropy weight method, and the other method is a construction the optimal model according to the minimum entropy principle. Finally, two practical examples are given to illustrate the effectiveness and practicability of the proposed method. |
| first_indexed | 2024-12-22T12:41:40Z |
| format | Article |
| id | doaj.art-78758db33d924155890cb0ae795970fc |
| institution | Directory Open Access Journal |
| issn | 2078-2489 |
| language | English |
| last_indexed | 2024-12-22T12:41:40Z |
| publishDate | 2014-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Information |
| spelling | doaj.art-78758db33d924155890cb0ae795970fc2022-12-21T18:25:25ZengMDPI AGInformation2078-24892014-11-015458760110.3390/info5040587info5040587A New Intuitionistic Fuzzy Entropy and Application in Multi-Attribute Decision MakingManfeng Liu0Haiping Ren1School of Information Management, Jiangxi University of Finance and Economics, Nanchang 330013, ChinaSchool of Information Management, Jiangxi University of Finance and Economics, Nanchang 330013, ChinaIn this paper, firstly, a new intuitionistic fuzzy (IF) entropy has been put forward, which considered both the uncertainty and the hesitancy degree of IF sets. Through comparing with other entropy measures, the advantage of the new entropy measure is obvious. Secondly, based on the new entropy measure, a new decision making method of a multi-attribute decision making problem was subsequently put forward, in which attribute values are expressed with IF values. In the cases of attribute weights, completely unknown and attribute weights are partially known. Two methods were constructed to determine them. One method is an extension of the ordinary entropy weight method, and the other method is a construction the optimal model according to the minimum entropy principle. Finally, two practical examples are given to illustrate the effectiveness and practicability of the proposed method.http://www.mdpi.com/2078-2489/5/4/587fuzzy entropymulti-attribute group decision makingintuitionistic fuzzy set |
| spellingShingle | Manfeng Liu Haiping Ren A New Intuitionistic Fuzzy Entropy and Application in Multi-Attribute Decision Making Information fuzzy entropy multi-attribute group decision making intuitionistic fuzzy set |
| title | A New Intuitionistic Fuzzy Entropy and Application in Multi-Attribute Decision Making |
| title_full | A New Intuitionistic Fuzzy Entropy and Application in Multi-Attribute Decision Making |
| title_fullStr | A New Intuitionistic Fuzzy Entropy and Application in Multi-Attribute Decision Making |
| title_full_unstemmed | A New Intuitionistic Fuzzy Entropy and Application in Multi-Attribute Decision Making |
| title_short | A New Intuitionistic Fuzzy Entropy and Application in Multi-Attribute Decision Making |
| title_sort | new intuitionistic fuzzy entropy and application in multi attribute decision making |
| topic | fuzzy entropy multi-attribute group decision making intuitionistic fuzzy set |
| url | http://www.mdpi.com/2078-2489/5/4/587 |
| work_keys_str_mv | AT manfengliu anewintuitionisticfuzzyentropyandapplicationinmultiattributedecisionmaking AT haipingren anewintuitionisticfuzzyentropyandapplicationinmultiattributedecisionmaking AT manfengliu newintuitionisticfuzzyentropyandapplicationinmultiattributedecisionmaking AT haipingren newintuitionisticfuzzyentropyandapplicationinmultiattributedecisionmaking |