A mathematical foundation of big data
- Authors: Sun, Zhaohao , Wang, Paul
- Date: 2017
- Type: Text , Journal article
- Relation: New Mathematics and Natural Computation Vol. 13, no. 2 (2017), p. 83-99
- Full Text: false
- Reviewed:
- Description: The recent research evolution on big data has brought exciting aspiration to mathematicians, computer scientists and business professionals alike. However, the lack of a sound mathematical foundation presents itself as a real challenge amidst the swarm of big data marketing activities. This paper intends to propose a possible mathematical theory as a foundation for big data research. Specifically, we propose the concept of the adjective "big" as a mathematical operator, furthermore, the concept of so-called "big" logically and naturally fits the concept of being "linguistics variable" as per fuzzy logic research community for decades. The consequence of adopting such a mathematical modeling can be profoundly considered as an abstraction of the technologies, systems, tools for data management and processing that transforms data into big data. In addition, the concept of infinity of the big data is based on the theory of calculus and the set theory. Furthermore, the concept of relativity of the big data, as we find out, is based on the operations of the fuzzy subsets theory. The proposed approach in this paper, we hope, can facilitate and open up more opportunities for big data research and developments on big data analytics, business analytics, big data intelligence, big data computing as well as big data science. © 2017 World Scientific Publishing Company.
A computing perspective on scientific chinese trinity
- Authors: Sun, Zhaohao , Wang, Paul
- Date: 2013
- Type: Text , Journal article
- Relation: New Mathematics and Natural Computation Vol. 9, no. 2 (2013), p. 129-152
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- Reviewed:
- Description: The unprecedented and rapid development of the Chinese economy has been vividly displayed in front of the whole world to see. The attention has been particularly acute for the academic community and career politician alike. Ironically, this rapid economic miracle of China has been built on an unsound and often even questionable foundation of Chinese words, language and culture, of which we call them "Chinese trinity". This paper deals with the Chinese trinity from a computing science perspective. This paper argues the reform in scientific Chinese trinity with an emphasis of the word "scientific" ought to play a key role for further Chinese economic development and to launch a much improved contemporary Chinese society on a solid foundation. In addition, this paper proposes specifically ten computing paradigms and examines critically their potential impacts on scientific Chinese trinity. Finally, we feel the very focused approaches as proposed here might inspire as well as provide a much needed road map toward the goal of the scientific Chinese trinity. Judiciously chosen vigorous research projects appear to be indispensable. The unfortunate well known and long overdue reform has finally been rescued by the pressure of the information revolution coming of age. © 2013 World Scientific Publishing Company.
- Description: 2003011223