Results 81 to 90 of about 540,199 (106)

ON MINIMALITY IN PSEUDO-BCI-ALGEBRAS [PDF]

Communications of the Korean Mathematical Society, 2012
Abstract. In this paper we consider pseudo- BCK=BCI -algebras. Inparticular, we consider properties of minimal elements ( x a implies x = a ) in terms of the binary relation which is reexive and anti-symmetric along with several more complicated conditions.
Young-Hee Kim, Keum-Sook So
exaly   +2 more sources

Pseudo-BCI filters and subalgebras in pseudo-BCI algebras

2010 IEEE International Conference on Progress in Informatics and Computing, 2010
Pseudo-BCI filters and subalgebras of pseudo-BCI algebras are investigated. An infinite example of pseudo-BCI algebra is given, in which there exits a pseudo-BCI filter but not a subalgebra. A special class of pseudo-BCI algebra is discussed, in which every subalgebra is a pseudo-BCI filter.
Xiaohong Zhang
exaly   +2 more sources

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

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 ...
Choonkil Park, Xiaohong Zhang
exaly   +3 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   +3 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

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

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.
openaire   +2 more sources

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   +2 more sources