scholarly journals ($\bar{\alpha}$, $\bar{\beta}$)-fuzzy Congruence Relation on Lattice Implication Algebras

2012 ◽  
Vol 4 (3) ◽  
Author(s):  
Bin Jia Xu
Keyword(s):  
Congruence Relation ◽  
Implication Algebras ◽  
Fuzzy Congruence

Fuzzy congruence relation generated by a fuzzy relation in vector spaces

2018 ◽  
Vol 35 (5) ◽  
pp. 5635-5645
Author(s):  
S. Khosravi Shoar ◽  
R.A. Borzooei ◽  
R. Moradian
Keyword(s):  
Congruence Relation ◽  
Fuzzy Relation ◽  
Vector Spaces ◽  
Fuzzy Congruence

scholarly journals Anti Fuzzy Equivalence Relation on Rings with Respect to t-conorm C

2019 ◽  
pp. 1-19 ◽  
Author(s):  
Rasul Rasuli
Keyword(s):  
Equivalence Relation ◽  
Congruence Relation ◽  
Basic Properties ◽  
Fuzzy Congruence

In this paper, by using t-conorms, we define the concept of anti fuzzy equivalence relation and anti fuzzy congruence relation on ring R and we investigate some of their basic properties. Also we define fuzzy ideals of ring R under t-conorms and compare this with fuzzy equivalence relation and fuzzy congruence relation on ring R such that we define new introduced ring. Next we investigate this concept under homomorphism of new introduced ring.

scholarly journals Norms over intuitionistic fuzzy congruence relations on rings

2021 ◽  
Vol 27 (3) ◽  
pp. 51-68
Author(s):  
Rasul Rasuli ◽  
Keyword(s):  
Equivalence Relation ◽  
Congruence Relation ◽  
Equivalence Relations ◽  
Intuitionistic Fuzzy ◽  
Congruence Relations ◽  
Fuzzy Congruence

In this paper, by using norms, we define the concept of intuitionistic fuzzy equivalence relations and intuitionistic fuzzy congruence relations on ring R and we investigate some assertions. Also we define intuitionistic fuzzy ideals of ring R under norms and compare this with fuzzy equivalence relation and fuzzy congruence relation on ring R such that we define new introduced ring.

scholarly journals Fuzzy Congruence Relations in Generalized Almost Distributive Fuzzy Lattices

2021 ◽  
Vol 2089 (1) ◽  
pp. 012067
Author(s):  
T. Sangeetha ◽  
S. Senthamil Selvi
Keyword(s):  
Prime Ideal ◽  
Congruence Relation ◽  
Subject Classification ◽  
Ams Subject Classification ◽  
Congruence Relations ◽  
Fuzzy Congruence

Abstract This paper defines the fuzzy congruence relation of GADFL (Generalized nearly distributive fuzzy lattices). The ideas of θ - ideal and θ - Prime ideal are introduced in GADFL, and the fuzzy congruence relation is used to explain these ideals. AMS subject classification: 06D72, 06F15, 08A72.

Congruence relations on almost distributive lattices-II

2019 ◽  
pp. 2150005
Author(s):  
Gezahagne Mulat Addis
Keyword(s):  
Distributive Lattice ◽  
Congruence Relation ◽  
Congruence Class ◽  
Distributive Lattices ◽  
Ideal Formula ◽  
Congruence Relations

For a given ideal [Formula: see text] of an almost distributive lattice [Formula: see text], we study the smallest and the largest congruence relation on [Formula: see text] having [Formula: see text] as a congruence class.

scholarly journals IFI–ideals of lattice implication algebras

2013 ◽  
Vol 6 (6) ◽  
pp. 1002-1011 ◽  
Author(s):  
Hua Zhu ◽  
Jianbin Zhao ◽  
Yang Xu
Keyword(s):  
Implication Algebras

scholarly journals States and Measures on Hyper BCK-Algebras

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Xiao-Long Xin ◽  
Pu Wang
Keyword(s):  
Congruence Relation ◽  
Basic Properties ◽  
Mv Algebra ◽  
Regular Congruence ◽  
Bosbach State

We define the notions of Bosbach states and inf-Bosbach states on a bounded hyper BCK-algebra(H,∘,0,e)and derive some basic properties of them. We construct a quotient hyper BCK-algebra via a regular congruence relation. We also define a∘-compatibledregular congruence relationθand aθ-compatibledinf-Bosbach stateson(H,∘,0,e). By inducing an inf-Bosbach states^on the quotient structureH/[0]θ, we show thatH/[0]θis a bounded commutative BCK-algebra which is categorically equivalent to an MV-algebra. In addition, we introduce the notions of hyper measures (states/measure morphisms/state morphisms) on hyper BCK-algebras, and present a relation between hyper state-morphisms and Bosbach states. Then we construct a quotient hyper BCK-algebraH/Ker(m)by a reflexive hyper BCK-idealKer(m). Further, we prove thatH/Ker(m)is a bounded commutative BCK-algebra.

Fuzzy congruence pairs of inverse semigroups

1993 ◽  
Vol 56 (1) ◽  
pp. 117-122 ◽  
Author(s):  
Fawzi A. Al-Thukair
Keyword(s):  
Inverse Semigroups ◽  
Fuzzy Congruence
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