In this paper we introduce the notion of γ-open sets and γ-continuous functions in fuzzy bitopological spaces. We examine some basic properties and prove some characterization theorems for the said functions. It is observed that every pairwise fuzzy γ-continuous functions is pairwise fuzzy precontinuous but the converse not true.

γ-Open sets and γ-continuous mappings in fuzzy bitopological spaces

By using the residual implication on a frame L, we develop a theory of separation axioms in the category of stratified L-generalized convergence spaces in the spirit of Lowen, i.e., we define for each space some degrees of fulfilling T0, T1, T2 and regularity axioms from a logical aspect. These degrees of separation axioms generalize the theory of separation axioms in the sense of Jäger.

Degrees of separation properties in stratified L-generalized convergence spaces using residual implication

Convergence in I-fuzzy topological spaces

In this paper, we discuss the equivalent conditions of pretopolog- ical and topological L-fuzzy Q-convergence structures and dene T0; T1; T2- separation axioms inL-fuzzy Q-convergence space Furthermore, L-ordered Q- convergence structure is introduced and its relation withL-fuzzy Q-convergence structure is studied in a categorical sense

https://ijfs.usb.ac.ir/article_1236_e08b6909103a69198ce3458da3606ed8.pdf

Further study on $L$-fuzzy Q-convergence structures

In this paper we study different weak forms of open multifunctions from a fuzzy topological space into a fuzzy $m$-space. Further we study the same from a fuzzy bitopological space into a fuzzy bitopological spaces.

/pdf/fuzzy-m-structures-m-open-multifunctions-and-bitopological-3mmx354tjm.pdf

Jin Han Park

Papers

Fuzzy semi-preopen sets and fuzzy semi-precontinuous mappings

Separation axioms of fuzzy initial convergence spaces

On fuzzy pairwise semi-precontinuity

RS-compact fuzzy topological spaces