Crisp and L-fuzzy ambiguous representations of closed subsets of one space by closed subsets of another space are introduced. It is shown that, for each pair of compact Hausdorff spaces, the set of (crisp or L-fuzzy) ambiguous representations is a lattice and a compact Hausdorff Lawson upper semilattice. The categories of ambiguous and L-ambiguous representations are defined and investigated.

It is shown that pointwise convergence of a sequence (An)n∈N of copulas to a copula A is equivalent (1) to the convergence of the corresponding endographs, and (2) to the convergence of the corresponding upper (or lower) α-levels for all but at most countably many α in [0, 1] (all with respect to the Hausdorff metric). Examples are given that show that the countably many exceptions in (2) can n...

In this paper we have characterized the epimorphisms in the full subcategory of Hausdorff fuzzy topological spaces (introduced by Srivastava et al.[10]) of the category FTS of fuzzy topological spaces and fuzzy continuous functions using the Salbanytype closure operator.

In this paper, we first of all define the distance measure entitled generalized Hausdorff distance between two trapezoidal generalized fuzzy numbers (TGFNs) that has been introduced by Chen [10]. Then using a other distance and combining with generalized Hausdorff distance, we define the similarity measure. The basic properties of the above mentioned similarity measure are proved in detail. Fin...

K?nzi and Yilzid introduced the concept of convexity structures in sense Takahashi quasi-pseudometric spaces [7]. In this article, we continue study theory, introducing W-convexity for real-valued pair functions defined on an asymmetrically normed real vector space. Moreover, show that all minimal pairs space equipped with a convex structure which is W-convex whenever W translation-invariant.

in this paper we define ( , ) k  q -fuzzy h -sub hemirings, ( , ) k  q -fuzzy h -ideals, ( , ) k  q - fuzzy     h -bi-ideals and ( , ) k  q -fuzzy h -quasi-ideals. we characterize h -hemiregular and h -intrahemiregular hemirings by the properties of their     ( , ) k  q -fuzzy h -ideals, ( , ) k  q -fuzzy h -bi-ideals and     ( , ) k  q -fuzzy h -quasi-...