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- Xianping Liu, Dajing Xiang, Jianming Zhan
- Neural Computing and Applications
- 2010

The concepts of fuzzy ideals of soft rings are introduced. The first, second and third fuzzy isomorphism theorems of soft rings are established respectively. In particular, some classes of quotient rings are characterized by their fuzzy ideals.

- Jianming Zhan, Xiaowu Zhou, Dajing Xiang
- Journal of Intelligent and Fuzzy Systems
- 2016

- Changchang Xi, Dajing Xiang
- 2001

Let A be a finite dimensional algebra over a field k, and let C be the Cartan matrix of A. Usually, the eigenvalues of C being integers do not imply the semisimplicity of A. However, we prove that a cellular algebra A is semisimple if and only if det(C) = 1 and all eigenvalues of C are integers. Moreover, we use Cartan matrices to classify the cellularâ€¦ (More)

- Jianming Zhan, Xiaowu Zhou, Dajing Xiang
- Journal of Intelligent and Fuzzy Systems
- 2017

- Dajing Xiang
- 2009 International Workshop on Intelligentâ€¦
- 2009

In this paper, the main purpose is to discuss some properties respect to finite normalized tight frames. By using the relevant results associative to the group-representation of finite normalized tight frames, some interesting results of finite normalized tight frames be investigated. Keywordsfinite normalized tight frame; group-representation; Gram martice.

- Jianming Zhan, Dajing Xiang, Zhisong Tan
- Int. J. Math. Mathematical Sciences
- 2004

We consider the fuzzification of the notion of fuzzy multiply positive implicative hyper BCK-ideals of BCK-algebras and then some related results are obtained. Using the concept of level subsets, we give a characterization of a fuzzy multiply positive implicative hyper BCK-ideal. We state a relation between a fuzzy hyper BCK-ideal and a fuzzymultiplyâ€¦ (More)

- Min Zhou, Dajing Xiang, Jianming Zhan
- Multiple-Valued Logic and Soft Computing
- 2014

- Dajing Xiang
- 2013 10th International Conference on Fuzzyâ€¦
- 2013

In this paper, the concept of soft modules is given. Some properties of soft modules are discussed. In particular, three isomorphism theorems for soft modules are established.

- Dajing Xiang
- 2009 Fifth International Conference on Naturalâ€¦
- 2009

The paper presents the concepts of gram matrix and group-representation of finite normalized tight frames.Some properties respect to finite normalized tight frames be investigated.

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