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The purpose of this book is to introduce some new definitions of
separation axioms in supra fuzzy topological spaces using the ideas
of Ali 8]. Some of their equivalent formulations along with various
new characterizations and results concerning the existing ones are
presented here. Our criterion for definitions has been preserving
as much as possible the relation between the corresponding
separation properties for supra fuzzy topological spaces. Moreover,
it will be seen that the definitions of these axioms are 'good
extensions' in the sense of Lowen 60]. We aim to develop theories
of supra fuzzy T0, supra fuzzy T1, supra fuzzy T2(Hausdorff), supra
fuzzy SFR(supra fuzzy regular), supra fuzzy SFN(supra fuzzy
normal), supra fuzzy R0- and supra fuzzy R1- separation axioms
analogous to its counter part in ordinary topology. We also prove
that all the concepts are hereditary, productive and projective.
The purpose of this book is to sujjest new definitions of
separation axioms in fuzzy bitopological spaces. We study several
features of these definitions along with the existing ones. The
introduce concepts are less restrictive than those of Kandil and
El-Shafee 66,67] as will be found later on. Our criteria for
definitions have been preserved as much as possible the relation
between the corresponding separation properties for fuzzy
topological space. Moreover, it will be seen that the definitions
of these axioms are "good extensions" in the sence of 92] due to
Lowen. All the definitions are added here, we established the
relation among them also, we find the relation among general
topology, general bitopology, fuzzy topology and fuzzy bitopology.
In this book, we show that all of these definitions satisfy the
property of Hereditary, Productive and Projective.
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R398
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