Fuzzy Congruence Relations and Fuzzy Order Filters

2009 ◽  
Author(s):  
Minxia Luo ◽  
Feilong Cao ◽  
Ning Yao
Keyword(s):  
Congruence Relations ◽  
Fuzzy Congruence ◽  
Fuzzy Order

Lattice structure on fuzzy congruence relations of a hypergroupoid

2007 ◽  
Vol 177 (16) ◽  
pp. 3305-3313 ◽  
Author(s):  
M. Bakhshi ◽  
R.A. Borzooei
Keyword(s):  
Lattice Structure ◽  
Congruence Relations ◽  
Fuzzy Congruence

scholarly journals Fuzzy congruence relations on pseudo BE-algebras

2020 ◽  
Vol 1 (2) ◽  
pp. 31-43
Author(s):  
Akbar Rezaei ◽  
Arsham Borumand Saeid ◽  
Qiuyan Zhan
Keyword(s):  
Congruence Relations ◽  
Fuzzy Congruence

Fuzzy congruence relations in CI-algebras

2012 ◽  
Vol 21 (S1) ◽  
pp. 319-328 ◽  
Author(s):  
Akbar Rezaei ◽  
Arsham Borumand Saeid
Keyword(s):  
Congruence Relations ◽  
Fuzzy Congruence

Some Results in Fuzzy Congruence Relations in CI–Algebras

2011 ◽  
Author(s):  
Akbar Rezaei ◽  
Arsham Borumand Saeid ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras ◽  
...  
Keyword(s):  
Congruence Relations ◽  
Fuzzy Congruence

Fuzzy congruence relations on nd-groupoids

2009 ◽  
Vol 86 (10-11) ◽  
pp. 1684-1695 ◽  
Author(s):  
I. P. Cabrera ◽  
P. Cordero ◽  
G. Gutiérrez ◽  
J. Martínez ◽  
M. Ojeda-Aciego
Keyword(s):  
Congruence Relations ◽  
Fuzzy Congruence

scholarly journals L-Fuzzy Congruences and L-Fuzzy Kernel Ideals in Ockham Algebras

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Teferi Getachew Alemayehu ◽  
Derso Abeje Engidaw ◽  
Gezahagne Mulat Addis
Keyword(s):  
Complete Lattice ◽  
Ockham Algebra ◽  
Truth Values ◽  
Kernel Ideal ◽  
Congruence Relations ◽  
Fuzzy Ideal ◽  
Fuzzy Congruence ◽  
Distributive Law ◽  
Ockham Algebras ◽  
Equivalent Conditions

In this paper, we study fuzzy congruence relations and kernel fuzzy ideals of an Ockham algebra A , f , whose truth values are in a complete lattice satisfying the infinite meet distributive law. Some equivalent conditions are derived for a fuzzy ideal of an Ockham algebra A to become a fuzzy kernel ideal. We also obtain the smallest (respectively, the largest) fuzzy congruence on A having a given fuzzy ideal as its kernel.

scholarly journals On Fuzzy Deductive Systems of Hilbert Algebras

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Gezahagne Mulat Addis ◽  
Derso Abeje Engidaw
Keyword(s):  
Fuzzy Set ◽  
Complete Lattice ◽  
Algebraic Closure ◽  
Lattice Isomorphism ◽  
Hilbert Algebra ◽  
Hilbert Algebras ◽  
Deductive Systems ◽  
Congruence Relations ◽  
Fuzzy Congruence ◽  
Distributive Law

In this paper, we study fuzzy deductive systems of Hilbert algebras whose truth values are in a complete lattice satisfying the infinite meet distributive law. Several characterizations are obtained for fuzzy deductive systems generated by a fuzzy set. It is also proved that the class of all fuzzy deductive systems of a Hilbert algebra forms an algebraic closure fuzzy set system. Furthermore, we obtain a lattice isomorphism between the class of fuzzy deductive systems and the class of fuzzy congruence relations in the variety of Hilbert algebras.

Fuzzy congruence relations

1991 ◽  
Vol 41 (3) ◽  
pp. 359-369 ◽  
Author(s):  
V. Murali
Keyword(s):  
Congruence Relations ◽  
Fuzzy Congruence

scholarly journals Fuzzy congruence relations on almost distributive lattices

2017 ◽  
Vol 14 (3) ◽  
pp. 315-330
Author(s):  
Berhanu Assaye Alaba ◽  
Gezahagne Mulat Addis
Keyword(s):  
Distributive Lattices ◽  
Congruence Relations ◽  
Fuzzy Congruence
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