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Uncertain Relations on a Finite Set and their Properties
Pure and Applied Mathematics Journal
Volume 3, Issue 6-1, December 2014, Pages: 13-19
Received: Sep. 9, 2014; Accepted: Oct. 13, 2014; Published: Oct. 20, 2014
Author
Xiulian Gao, College of Mathematical Sciences, Dezhou University, Dezhou, Shandong 253023, P. R. China
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Abstract
There exists some relationships which are difficult to be simply measured by “yes” or “no" in practice, and there must be a certain amount to indicate the extent of this relationship between the two elements. In this paper, the property of the uncertain relations is examined by the uncertainty theory. Firstly it offers the definition of uncertain relation and the concept of property index of the uncertain relation based on uncertain theory; secondly it gives the calculation method of the property index of the uncertain relation; finally, a simple example is presented to illustrate the method.
Keywords
Uncertain Relation, Property Index, Uncertainty Theory
Xiulian Gao, Uncertain Relations on a Finite Set and their Properties, Pure and Applied Mathematics Journal. Special Issue: Mathematical Theory and Modeling. Vol. 3, No. 6-1, 2014, pp. 13-19. doi: 10.11648/j.pamj.s.2014030601.13
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