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.
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Pure and Applied Mathematics Journal (Volume 3, Issue 6-1)
This article belongs to the Special Issue Mathematical Theory and Modeling |
DOI | 10.11648/j.pamj.s.2014030601.13 |
Page(s) | 13-19 |
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2014. Published by Science Publishing Group |
Uncertain Relation, Property Index, Uncertainty Theory
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APA Style
Xiulian Gao. (2014). Uncertain Relations on a Finite Set and their Properties. Pure and Applied Mathematics Journal, 3(6-1), 13-19. https://doi.org/10.11648/j.pamj.s.2014030601.13
ACS Style
Xiulian Gao. Uncertain Relations on a Finite Set and their Properties. Pure Appl. Math. J. 2014, 3(6-1), 13-19. doi: 10.11648/j.pamj.s.2014030601.13
@article{10.11648/j.pamj.s.2014030601.13, author = {Xiulian Gao}, title = {Uncertain Relations on a Finite Set and their Properties}, journal = {Pure and Applied Mathematics Journal}, volume = {3}, number = {6-1}, pages = {13-19}, doi = {10.11648/j.pamj.s.2014030601.13}, url = {https://doi.org/10.11648/j.pamj.s.2014030601.13}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.s.2014030601.13}, 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.}, year = {2014} }
TY - JOUR T1 - Uncertain Relations on a Finite Set and their Properties AU - Xiulian Gao Y1 - 2014/10/20 PY - 2014 N1 - https://doi.org/10.11648/j.pamj.s.2014030601.13 DO - 10.11648/j.pamj.s.2014030601.13 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 13 EP - 19 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.s.2014030601.13 AB - 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. VL - 3 IS - 6-1 ER -