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A new class of functions called fuzzy semi $α$ -irresolute functions in fuzzy topological spaces are introduced in this paper. Some characterizations of this class and its properties and the relationship with other classes of functions between fuzzy topological spaces are also obtained.

Fuzzy stability of the pexiderized quadratic functional equation: A fixed point approach.

Wang, Zhihua, Zhang, Wanxiong (2009)

Fixed Point Theory and Applications [electronic only]

Fuzzy super irresolute functions.

Abbas, S. E. (2003)

International Journal of Mathematics and Mathematical Sciences

Fuzzy TL-uniform spaces.

Hashem, Khaled A., Morsi, Nehad N. (2006)

International Journal of Mathematics and Mathematical Sciences

Fuzzy topological triples

G. Kilibarda (1984)

Matematički Vesnik

Fuzzy topologies

Jiří Michálek (1975)

Kybernetika

Fuzzy $β$ -open sets and fuzzy $β$ -separation axioms

Ganesan Balasubramanian (1999)

Kybernetika

In this paper fuzzy separation axioms have been introduced and investigated with the help of fuzzy $β$ -open sets.

Fuzzy $Θ$ -closure operator on fuzzy topological spaces.

Mukherjee, M.N., Sinha, S.P. (1991)

International Journal of Mathematics and Mathematical Sciences

$g^{*}$ -closed sets and a new separation axiom in Alexandroff spaces

Pratulananda Das, Md. Mamun Ar Rashid (2003)

Archivum Mathematicum

In this paper we introduce the concept of $g^{*}$ -closed sets and investigate some of its properties in the spaces considered by A. D. Alexandroff [1] where only countable unions of open sets are required to be open. We also introduce a new separation axiom called $T_{w}$ -axiom in the Alexandroff spaces with the help of $g^{*}$ -closed sets and investigate some of its consequences.

$G_{δ}$ -modification of compacta and cardinal invariants

Aleksander V. Arhangel'skii (2006)

Commentationes Mathematicae Universitatis Carolinae

Given a space $X$ , its $G_{δ}$ -subsets form a basis of a new space $X_{ω}$ , called the $G_{δ}$ -modification of $X$ . We study how the assumption that the $G_{δ}$ -modification $X_{ω}$ is homogeneous influences properties of $X$ . If $X$ is first countable, then $X_{ω}$ is discrete and, hence, homogeneous. Thus, $X_{ω}$ is much more often homogeneous than $X$ itself. We prove that if $X$ is a compact Hausdorff space of countable tightness such that the $G_{δ}$ -modification of $X$ is homogeneous, then the weight $w (X)$ of $X$ does not exceed $2^{ω}$ (Theorem 1). We also establish...

$G_{δ}$ -separation axioms in ordered fuzzy topological spaces

Elango Roja, Mallasamudram Kuppusamy Uma, Ganesan Balasubramanian (2007)

Kybernetika

$G_{δ}$ -separation axioms are introduced in ordered fuzzy topological spaces and some of their basic properties are investigated besides establishing an analogue of Urysohn’s lemma.

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Displaying 421 – 440 of 1389

Fuzzy Partitions of Unity

Fuzzy pre-semi-closed sets.

Fuzzy properties in fuzzy convergence spaces.

Fuzzy $r$ -continuous and fuzzy $r$ -semicontinuous maps.

Fuzzy regions: interpretations of surface area and distance

Fuzzy semi $α$ -irresolute functions

Fuzzy stability of the pexiderized quadratic functional equation: A fixed point approach.

Fuzzy super irresolute functions.

Fuzzy TL-uniform spaces.

Fuzzy topological triples

Fuzzy topologies

Fuzzy $β$ -open sets and fuzzy $β$ -separation axioms

Fuzzy $Θ$ -closure operator on fuzzy topological spaces.

$g^{*}$ -closed sets and a new separation axiom in Alexandroff spaces

$G_{δ}$ -modification of compacta and cardinal invariants

$G_{δ}$ -separation axioms in ordered fuzzy topological spaces

Generalization of some fuzzy separation axioms to ditopological texture spaces.

Generalizations of the uniform convergence

Generalized closed sets in Čech closed spaces.

Generalized compactness in fuzzy topological spaces

Currently displaying 421 – 440 of 1389