In this paper, the notion of generalized regular fuzzy irresolute, generalized regular fuzzy irresolute open  and generalized regular fuzzy irresolute closed maps in fuzzy  topological spaces are introduced and studied. Moreover, some separation axioms and $r$-GRF-separated sets are established. Also, the relations between generalized regular fuzzy continuous maps and generalized regular fuzzy ...

We examine 2-dimensional 3-dispersion lattice interleavers in three connectivity models: the rectangular grid with either 4 or 8 neighbors, and the hexagonal grid. We provide tight lower bounds on the interleaving degree in all cases and show lattices which achieve the bounds.

in this paper, we introduce and study the concept of $r$-fuzzy regular semi open (closed) sets in smooth topological spaces. by using $r$-fuzzy regular semi open (closed) sets, we define a new fuzzy closure operator namely $r$-fuzzy regular semi interior (closure) operator. also, we introduce fuzzy regular semi continuous and fuzzy regular semi irresolute mappings. moreover, we investigate the ...

For each nonnegative integer r we determine a set of graph operations such that all r regular loopless graphs can be generated from the smallest r regular loopless graphs by using these operations We also discuss possible extensions of this result to r regular graphs of girth at least g for each xed g

In his paper On sequences and limiting sets [ l ] , 1 G. T. Whyburn introduced the notion of regular convergence. He showed that in the cases of 0 and 1 regular convergence (see definition below) that the limit of sequences of many simple topological sets is of the same type as the members of the sequence. I t is the purpose of this paper to extend some of these results to higher dimensions. Th...