Generalized Grey Target Decision Method for Mixed Attributes Based on Connection Number
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-27
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Grey target decision model for mixed attributes including real numbers, interval numbers, triangular fuzzy numbers, and trapezoidal fuzzy numbers is complex for its data processing in different ways and information distortion in handling fuzzy numbers.
To solve these problems, the binary connection number proposed in set pair analysis is applied to unify different types of index values with their parameters’ average values and standard deviations as determinacy-uncertainty vectors.
Then the target center index vectors are determined by the modules of index vectors of all alternatives under different attributes.
So the similarity of each index vector and its target center index vector called nearness degree can be calculated.
Following, all the nearness degrees are normalized in linear method in order to be compared with each other.
Finally, the optimal alternative can be determined by the minimum of all integrated nearness degrees.
Case study demonstrated that this approach can not only unify different types of numbers, and simplify the calculation but also reduce the information distortion in operating fuzzy numbers.
American Psychological Association (APA)
Ma, Jinshan& Ji, Changsheng. 2014. Generalized Grey Target Decision Method for Mixed Attributes Based on Connection Number. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-496896
Modern Language Association (MLA)
Ma, Jinshan& Ji, Changsheng. Generalized Grey Target Decision Method for Mixed Attributes Based on Connection Number. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-496896
American Medical Association (AMA)
Ma, Jinshan& Ji, Changsheng. Generalized Grey Target Decision Method for Mixed Attributes Based on Connection Number. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-496896
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496896