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L-fuzzy covering rough sets based on complete co-residuated lattice

International Journal of Machine Learning and Cybernetics, 2023
Yao-liang Xu   +3 more
semanticscholar   +1 more source

Rickart residuated lattices

Soft Computing, 2021
In this paper, the notion of a Rickart residuated lattice is introduced and investigated. A residuated lattice is called Rickart if any its coannulet is generated by a complemented element. It is observed that a residuated lattice $${\mathfrak {A}}$$ , is Rickart iff ...
openaire   +2 more sources

The Belluce-semilattice associated with a monadic residuated lattice

Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2023
Lianzhen Liu, Xiangyang Zhang
semanticscholar   +1 more source

Normal residuated lattices

Afrika Matematika, 2014
The study of residuated lattices is one of the important topics in algebra. This paper deals with the normal residuated lattices. First we investigate some properties of (right, left) stabilizers and obtain conditions under which right stabilizers become filter. By some examples we show that left stabilizers are not filter.
L. Torkzadeh, A. Ahadpanah
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On state residuated lattices

Soft Computing, 2015
In the paper, we introduce the notion of state operators on residuated lattices and investigate some related properties of such operators. Also, we give characterizations of Rl-monoids and Heyting algebras, and discuss relations between state operators and states on residuated lattices.
Yongwei Yang, Xiaolong Xin, Pengfei He
openaire   +2 more sources

Recursive Residuals on a Rectangular Lattice

Biometrical Journal, 1984
AbstractA set of independentN(O, ρ2) recursive residuals is obtained for a model proposed by GLEESON and McGILCHRIST (1980) to describe spatial dependence among observations on a rectangular lattice. These residuals can be used to test model adequacy in a similar fashion to Box‐Jenkins techniques for time series models.
A. C. Gleeson, C. A. McGilchrist
openaire   +2 more sources

On α-state filters in state residuated lattices

Journal of Logic and Computation
The purpose of this paper is to investigate $\alpha $-state filters in a state residuated lattice. First, the notion of $\alpha $-state filters in a state residuated lattice is introduced.
Supeng Wu, Xingliang Liang, Jiang Yang
semanticscholar   +1 more source

Distance functions and filter topological residuated lattices1

Journal of Intelligent & Fuzzy Systems
In this paper, we firstly extend C. C. chang’s distance functions from MV-algebras into residuated lattices. But in general, the functions may not be a distance function on residuated lattices.
Bing Chen, Xiao Long Xin, Xiao Fei Yang
semanticscholar   +1 more source

A Survey of Residuated Lattices

2002
Residuation is a fundamental concept of ordered structures and categories. In this survey we consider the consequences of adding a residuated monoid operation to lattices. The resulting residuated lattices have been studied in several branches of mathematics, including the areas of lattice-ordered groups, ideal lattices of rings, linear logic and multi-
Constantine Tsinakis, Peter Jipsen
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