Results 161 to 170 of about 923,849 (196)

2-Dimension Linguistic Lattice Implication Algebra

2015 10th International Conference on Intelligent Systems and Knowledge Engineering (ISKE), 2015
This paper concerns the representation of the linguistic evaluation set, which is often a total order set for its simple structure and operations. However, in some uncertain situations, the linguistic evaluation set with total order set is not enough for providing the assessments of the decision maker because all the linguistic labels are comparable ...
Jianbin Zhao, Hua Zhu, Wenjing Chang
exaly   +3 more sources

The Equivalent Definitions of Lattice Implication Algebra

2008 International Seminar on Future Information Technology and Management Engineering, 2008
This paper proved that when we have a binary operation rightarrow and a nullary operations rarr on a non-empty set L, if these operations satisfy the four axioms of lattice implication algebra, then (L, rarr, 0) will be a lattice implication algebra.
Li-Xia Song, Kun-Lun Zhang
exaly   +2 more sources

Lack of associative filters in lattice implication algebras

Soft Computing, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Masoud Haveshki, Mahboobeh Mohamadhasani
exaly   +2 more sources

Ultra LI-ideals in lattice implication algebras [PDF]

Czechoslovak Mathematical Journal, 2002
summary:We define an ultra $LI$-ideal of a lattice implication algebra and give equivalent conditions for an $LI$-ideal to be ultra. We show that every subset of a lattice implication algebra which has the finite additive property can be extended to an ...
Young Bae Jun, Keyun Qin
exaly   +2 more sources

On A-subsets in lattice implication algebras

Journal of Intelligent & Fuzzy Systems, 2018
In this paper, we further study the theory of A-subsets in lattice implication algebras. To begin with, we introduce the propositions of homomorphism image and original image of A-subsets in lattice implication algebras. In addition, the notion of A*-subsets is introduced and some properties of A*-subsets are also investigated in ...
Xiqing Long, Yi Liu 0005, Yang Xu 0001
openaire   +1 more source

Fuzzy implications in lattice effect algebras

Fuzzy Sets and Systems, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Implicative neutrosophic LI-ideals of lattice implication algebras

Journal of Intelligent & Fuzzy Systems, 2020
 Lattice implication algebra is a new logical algebraic system which is established by combining lattice and implication algebra. As a generalization of intuitionistic fuzzy set, neutrosophic set is introduced which deals with indeterminate membership in addition to degree of membership and degree of non-membership.
Young Bae Jun, Xiao Long Xin 0001
openaire   +2 more sources

The Relationship of Filters in Lattice Implication Algebra

Advances in Intelligent and Soft Computing, 2011
Ruijuan Lv, Yang Xu
exaly   +2 more sources

Material implications in lattice effect algebras

Information Sciences, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rajab Ali Borzooei, Anatolij Dvurecenskij, Amir Hossein Sharafi   +2 more
openaire   +3 more sources

Sub-algebras of Finite Lattice Implication Algebra

2007
As a kind of logical algebra, lattice implication algebra has been applied in lattice-valued logic. Study in algebraic structure of sub-algebra of lattice implication algebra can help to construct and apply lattice implication algebra to real applications.
Yang Xu 0001, Jun Ma 0002, Jiajun Lai
openaire   +2 more sources