Results 81 to 90 of about 1,804 (105)

Commutative pseudo-BCI algebras and commutative pseudo-BCI filters

2010 Third International Symposium on Knowledge Acquisition and Modeling, 2010
As a generalization of commutative BCI-algebra, the notion of commutative pseudo-BCI algebra is introduced, and some properties are investigated. The lattice structure of commutative pseudo-BCI algebra is discussed. By introducing the notion of commutative pseudo-BCI filter, commutative pseudo-BCI algebra is characterized.
Xiaohong Zhang
exaly   +2 more sources

Multi-granulation rough filters and rough fuzzy filters in Pseudo-BCI algebras

Journal of Intelligent & Fuzzy Systems, 2018
This paper introduced the notions of rough filters, multi-granulation rough filters, and rough fuzzy filters in pseudo-BCI algebras and investigated some properties. First, a congruence relation was structured by a filter on pseudo-BCI algebra. Then rough filters and rough fuzzy filters were investigated.
Songtao Shao, Xiaohong Zhang 0001, Chunxin Bo, Choonkil Park   +3 more
openaire   +2 more sources

Soft set theoretical approach to pseudo-BCI algebras

Journal of Intelligent and Fuzzy Systems, 2018
The notion of pseudo-BCI algebra is introduced by W.A. Dudek and Y.B. Jun, it is a kind of non-classical logic algebra and a generalization of pseudo-BCK algebra which is close connection with various non-commutative fuzzy logic algebras. The concept of soft set is introduced by Molodtsov, it can be seen as a new mathematical tool for dealing with ...
Xiaohong Zhang, Choonkil Park, Park Choonkil   +2 more
exaly   +2 more sources

On 1-type positive implicative pseudo-BCK/BCI algebras

2010 Third International Symposium on Knowledge Acquisition and Modeling, 2010
As a generalization of positive implicative BCK/BCI-algebras, the notions of 1-type positive implicative pseudo-BCK/BCI algebras are introduced, and some properties are investigated. By introducing the notions of 1-type positive implicative pseudo-BCK/BCI filter, 1-type positive implicative pseudo-BCK/BCI algebras are characterized.
Xiaohong Zhang
exaly   +2 more sources

Fuzzy T-type filters in pseudo-BCI algebras

2014 11th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD), 2014
Xiaohong Zhang
exaly   +2 more sources

Picture Fuzzy Filters of Pseudo-BCI Algebras

2017
The notion of picture fuzzy set is introduced by B. C. Cuong, which is a common extension of fuzzy set and intuitionistic fuzzy set. The notion of pseudo-BCI algebra is introduced by W. A. Dudek and Y. B. Jun, it is a kind of non-classical logic algebra and close connection with various non-commutative fuzzy logic algebras. In this paper, picture fuzzy
Xiaohong Zhang 0001, Chunxin Bo, Choonkil Park   +2 more
openaire   +1 more source

The lattice generated by hesitant fuzzy filters in pseudo-BCI algebras

Journal of Intelligent & Fuzzy Systems, 2018
The notion of hesitant fuzzy set is introduced by V. Torra, which is a very useful tool to express peoples’ hesitancy in daily life. The notion of pseudo-BCI algebra is introduced by W. A. Dudek and Y. B. Jun, which is a kind of nonclassical logic algebra and close connection with various non-commutative fuzzy logic algebras.
Chunxin Bo, Xiaohong Zhang 0001, Songtao Shao, Choonkil Park   +3 more
openaire   +1 more source

Various deductive systems of pseudo-BCI algebras

J. Multiple Valued Log. Soft Comput., 2017
Summary: The notions of strong deductive systems, regular deductive systems, anti-grouped deductive systems, obstinate deductive systems, deductive \((\rightarrow)\)-systems and deductive \((\rightsquigarrow)\)-systems of pseudo-BCI algebras are defined, studied and characterized.
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Fuzzy anti-grouped filters and fuzzy normal filters in pseudo- BCI algebras

Journal of Intelligent & Fuzzy Systems, 2017
The notions of fuzzy anti-grouped filter and fuzzy normal filter in pseudo- BCI algebra are introduced, some properties and equivalent conditions are presented. A counterexample is constructed to show that a fuzzy anti-grouped filter may be not a fuzzy p
openaire   +1 more source

A Class of BCI-Algebra and Quasi-Hyper BCI-Algebra

Axioms, 2022
Xiaohong Zhang, Yudan Du
exaly