Most of modern systems for information retrieval, fusion and management have to deal with more and more qualitative information （by linguistic labels） besides information expressed quantitatively （by numbers）, sin...Most of modern systems for information retrieval, fusion and management have to deal with more and more qualitative information （by linguistic labels） besides information expressed quantitatively （by numbers）, since human reports are better and easier expressed in natural language than with numbers. In this paper, Herrera-Martfnez＇s 2-Tuple linguistic representation model is extended for reasoning with uncertain and qualitative information in Dezert-Smarandache Theory （DSmT） framework, in order to overcome the limitations of current approaches, i.e., the lack of precision in the final results of linguistic information fusion according to 1-Tuple representation （ q1 ）- The linguistic information which expresses the expert＇s qualitative beliefs is expressed by means of mixed 2 Tuples （equidistant linguistic labels with a numeric biased value）. Together with the 2-Tuple representation model, some basic operators are presented to carry out the fusion operation among qualitative information sources. At last, through simple example how 2-Tuple qualitative DSmT-based （q2 DSmT） fusion rules can be used for qualitative reasoning and fusion under uncertainty, which advantage is also showed by comparing with other methods.展开更多
Based on the covariant prolongation structure technique,we construct the integrable higher-order deformations of the(2+1)-dimensional Heisenberg ferromagnet model and obtain their su(2) × R(λ) prolongation struc...Based on the covariant prolongation structure technique,we construct the integrable higher-order deformations of the(2+1)-dimensional Heisenberg ferromagnet model and obtain their su(2) × R(λ) prolongation structures.By associating these deformed multidimensional Heisenberg ferromagnet models with the moving space curve in Euclidean space and using the Hasimoto function,we derive their geometrical equivalent counterparts,i.e.,higher-order(2+1)-dimensional nonlinear Schrdinger equations.展开更多
TYPES OF ARTICLES1.Research articles Research articles belong to the full length article type,and should include elements as follows：title,running title,and byline;correspondent footnote;abstract and keywords;introdu...TYPES OF ARTICLES1.Research articles Research articles belong to the full length article type,and should include elements as follows：title,running title,and byline;correspondent footnote;abstract and keywords;introduction;materials and methods;results;discussion;acknowledgements;compliance;author contributions;references;figure legends and figures/tables.展开更多
基金Supported by the National Natural Science Foundation of China (60804063)863 Program (2006AA040202)
文摘Most of modern systems for information retrieval, fusion and management have to deal with more and more qualitative information （by linguistic labels） besides information expressed quantitatively （by numbers）, since human reports are better and easier expressed in natural language than with numbers. In this paper, Herrera-Martfnez＇s 2-Tuple linguistic representation model is extended for reasoning with uncertain and qualitative information in Dezert-Smarandache Theory （DSmT） framework, in order to overcome the limitations of current approaches, i.e., the lack of precision in the final results of linguistic information fusion according to 1-Tuple representation （ q1 ）- The linguistic information which expresses the expert＇s qualitative beliefs is expressed by means of mixed 2 Tuples （equidistant linguistic labels with a numeric biased value）. Together with the 2-Tuple representation model, some basic operators are presented to carry out the fusion operation among qualitative information sources. At last, through simple example how 2-Tuple qualitative DSmT-based （q2 DSmT） fusion rules can be used for qualitative reasoning and fusion under uncertainty, which advantage is also showed by comparing with other methods.
基金Supported by National Natural Science Foundation of China under Grant Nos. 10975102 and 11031005Beijing Municipal Commission of Education under Grant No. KZ201210028032
文摘Based on the covariant prolongation structure technique,we construct the integrable higher-order deformations of the(2+1)-dimensional Heisenberg ferromagnet model and obtain their su(2) × R(λ) prolongation structures.By associating these deformed multidimensional Heisenberg ferromagnet models with the moving space curve in Euclidean space and using the Hasimoto function,we derive their geometrical equivalent counterparts,i.e.,higher-order(2+1)-dimensional nonlinear Schrdinger equations.
文摘TYPES OF ARTICLES1.Research articles Research articles belong to the full length article type,and should include elements as follows：title,running title,and byline;correspondent footnote;abstract and keywords;introduction;materials and methods;results;discussion;acknowledgements;compliance;author contributions;references;figure legends and figures/tables.
