In this paper, the concept of somewhat-connected space will be introduced and characterized. Its connection with the other well-known concepts such as the classical connectedness, the $omega_theta$-connectedness, and the $omega$-connectedness will be determined. Moreover, the concept of textit{somewhat}-continuous function from an arbitrary topological space into the product space will be chara...

We define and characterize a somewhat fuzzy γ-irresolute continuous mapping and a somewhat fuzzy irresolute γ-open mapping on a fuzzy topological space. AMS Mathematics Subject Classification : 54A40.

The concept of  somewhat pairwise fuzzy $alpha$-irresolute continuous mappings and somewhat pairwise fuzzy irresolute $alpha$-open mappings have been introduced and studied. Besides, some interesting properties of those mappings are given.

In this paper the concept of somewhat pairwise fuzzy faintly -continuous functions and somewhat pairwise fuzzy faintly -open functions are introduced. Some interesting properties of these functions are investigated besides giving some characterizations of these functions.