in this paper, new definitions of $l$-fuzzy closure operator, $l$-fuzzy interior operator, $l$-fuzzy remote neighborhood system, $l$-fuzzy neighborhood system and $l$-fuzzy quasi-coincident neighborhood system are proposed. it is proved that the category of $l$-fuzzy closure spaces, the category of $l$-fuzzy interior spaces, the category of $l$-fuzzy remote neighborhood spaces, the category of ...

Previous research has demonstrated that recall performance is facilitated by the order of presentation of salient stimuli, referred to as the category-order effect (Brooks & Watkins, 1990; Greene & Lasek, 1994). Specifically, recall is higher on the full list when numbers precede words. To extend and clarify this research, Experiment 1 modified Brooks and Watkins’ paradigm by presenting items a...

motivated by the recent study on categorical properties of latticevalued topology, the paper considers a generalization of the notion of topological system introduced by s. vickers, providing an algebraic and a coalgebraic category of the new structures. as a result, the nature of the category   topsys   of s. vickers gets clari ed, and a metatheorem is stated, claiming that (latticevalu...

Olive cultivar diversity is rich in Algeria but most remain unexplored terms of quality traits. This work aimed to evaluate the physicochemical and organoleptic twenty olive oil samples belonging four Algerian cultivars ( Chemlal , Sigoise Ronde de Miliana Rougette Mitidja ) collected throughout national territory. Physical-chemical sensory results showed that 60% oils belong extra virgin categ...

in this paper, we formalize the menger probabilistic normed space as a category in which its objects are the menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. so, we can easily apply the results of topological vector spaces...