

Title of Thesis
On Bifuzzy Kalgebras 
Author(s)
Muhammad
Akram 
Institute/University/Department
Details Department of Mathematics / GC University,
Lahore 
Session 2010 
Subject Mathematics 
Number of Pages 150 
Keywords (Extracted from title, table of contents and
abstract of thesis) Bifuzzy, Kalgebras, logical, left,
right, mappings, topological 
Abstract In this thesis we
introduce a new class of logical algebras: Kalgebras on a group G
with identity element e by adjoining the induced binary operations
on a group G, if G is not an elementary abelian 2group. A Kalgebra
is noncommutative and nonassociative with right identity element
e. We characterize Kalgebras by using their left and right
mappings. Homomorphism of Kalgebras is studied. Isomorphism
theorems are given. We introduce the notion of fuzzy Kideals of
Kalgebras and give connection between fuzzy ideals and fuzzy
Kideals of Kalgebras. Fuzzy isomorphism theorems are given. We
discuss a new kind of fuzzy ideal of a Kalgebra called, an (ε,ε Vq) fuzzy ideal. We introduce the notion of intervalvalued fuzzy
ideals of Kalgebras and investigate some of their properties. Using
intervalvalued fuzzy ideals, characterizations of Noetherian
Kalgebras are established. A new generalized fuzzy Ksubalgebra is
introduced. We introduce the notion of bifuzzy ideals of Kalgebras
and investigate some interesting properties. We also introduce the
notion of bifuzzy topological Kalgebras and investigate some of
their properties.

