Online from: 1972
Subject Area: Electrical & Electronic Engineering
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|Title:||Some extended operations of grey sets|
|Author(s):||Y. Yang, (De Montfort University, Leicester, UK and Nanjing University of Aeronautics and Astronautics, Nanjing, China), R. John, (De Montfort University, Leicester, UK and Nanjing University of Aeronautics and Astronautics, Nanjing, China), S. Liu, (De Montfort University, Leicester, UK and Nanjing University of Aeronautics and Astronautics, Nanjing, China)|
|Citation:||Y. Yang, R. John, S. Liu, (2012) "Some extended operations of grey sets", Kybernetes, Vol. 41 Iss: 7/8, pp.860 - 873|
|Keywords:||Grey marketing, Grey numbers, Grey sets, Grey systems, Greyness, Marketing strategy|
|Article type:||Research paper|
|DOI:||10.1108/03684921211257711 (Permanent URL)|
|Publisher:||Emerald Group Publishing Limited|
|Acknowledgements:||The relevant research done in this paper is supported by the joint research project of both the Natural Science Foundation of China (NSFC) and the Royal Society (RS) of UK (No. 71111130211), the Natural Science Foundation of China (No. 90924022, 70971064 and 70901041), the Major Project of Social Science Foundation of the China (No. 10zd&014), the Key Project of the Social Science Foundation of the China (No. 08AJY024), the Key Project of the Soft Science Foundation of China (2008GXS5D115), the Foundation for Doctoral Programs (2008028700 20) and the Foundation for Humanities and Social Sciences of the Chinese National Ministry of Education (No. 08JA630039). At the same time, the authors would like to acknowledge the partial support of the Science Foundation for the Excellent and Creative Group in Science and Technology of Jiangsu Province (No. Y0553-091), the Foundation for Key Research Base of Philosophy and Social Science in colleges and universities of Jiangsu Province, and the Foundation for Outstanding Teaching Group of China (No. 10td128).|
Purpose – The purpose of this paper is to advance new rules about operations of grey sets based on grey numbers and greyness and investigate their capability in reducing uncertainty.
Design/methodology/approach – A grey set can have its characteristic function values restricted by grey numbers, and such a representation makes the operations of grey sets different from other sets. Based on the concept of whitenisation of grey sets, two extended operations of grey sets are defined and their properties are discussed.
Findings – The result demonstrates that the proposed meet operation can significantly reduce uncertainty in grey sets and that the novel rules about operation of grey sets can reduce uncertainty of the set significantly. The propagation of uncertainty under different operations is investigated.
Practical implications – The method exposed in the paper can be used to integrate information from different sources to reduce uncertainty in information.
Originality/value – The paper succeeds in constructing novel operation rules of grey sets. The capability of novel operation rules to reduce uncertainty is studied and it is a new development of grey systems theory.
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