In this paper we study the relationships existing between total measurability in variation and Gould type fuzzy integrability (introduced and studied in [21]), giving a special interest on their behaviour on atoms and on finite unions of disjoint atoms. We also establish that any continuous real valued function defined on a compact metric space is totally measurable in the variation of a regula...

Using only basic topological properties of real algebraic sets and regular morphisms we show that any injective regular self-mapping of a real algebraic set is surjective. Then we show that injective morphisms between germs of real algebraic sets define a partial order on the equivalence classes of these germs divided by continuous semi-algebraic homeomorphisms. We use this observation to deduc...

In this work, we introduce and study the classes of contra ΛIs-continuous, quasi-ΛIs-continuous ΛIs-irresolute functions in a topological space endowed with an ideal. We investigate relationships among these their respective characterizations. Also, analyze behavior certain notions under direct inverse images new functions.

Right ternary near-rings (RTNR) are generalization of their binary counterpart and fuzzy soft sets are generalization of soft sets which are parameterized family of subsets of a universal set. In this paper fuzzy soft Nsubgroups, quasi-ideals and bi-ideals over a right ternary near-ring N are defined. The substructures N-subgroups, quasi-ideals and bi-ideals of an RTNR are characterized in term...

the aim of this paper is to introduce the concepts of fuzzy upper and fuzzy lower almost continuous, weakly continuous and almost weakly continuous multifunctions. several characterizations and properties of these multifunctions along with their mutual relationships are established in $l$-fuzzy topological spaces

Using the idea of ic-open sets, we introduce and investigate topological qualities an ic-closure, ic-interior, ic-limit points, ic-derived, ic-border, ic-frontier, ic-exterior a set. Introduce concepts "ic-continuous mappings," "ic-open "ic-irresolute "ic-totally continuous "ic-homeomorphism," then look into some properties these mappings