in a fuzzy metric space (x;m; *), where * is a continuous t-norm,a locally fuzzy contraction mapping is de ned. it is proved that any locally fuzzy contraction mapping is a global fuzzy contractive. also, if f satis es the locally fuzzy contractivity condition then it satis es the global fuzzy contrac-tivity condition.

The problem of embedding incomplete into complete relations has been an important topic of research in the context of crisp relations and their applications. Several variations of the acclaimed Szpilrajn’s theorem have been provided, inclusive of the case when some order conditions between elements are imposed on the extension. We extend the analysis of that topic by Alcantud to the fuzzy case....

We propose two new methods to find the solution of fuzzy goal programming FGP problem by weighting method. Here, the relative weights represent the relative importance of the objective functions. The proposed methods involve one additional goal constraint by introducing only underdeviation variables to the fuzzy operator λ resp., 1-λ , which is more efficient than some well-known existing metho...

We introduce the subcategory VRelR(H) of VRel(H) consisting of H-fuzzy reflexive relational space on sets and we study structures of VRelR(H) in a viewpoint of the topological universe introduced by L.D.Nel. We show that VRelPO(H) of VRelR(H). We show that VRelPR(H) [resp. VRelP (H) and VRelE(H)] is a topological universe over Set. Mathematics Subject Classification: 04A72, 18B10, 18D15

Hydroxyl radical converts Phe to para-, meta-, and ortho-Tyr (p-Tyr, m-Tyr, o-Tyr), while Phe is converted enzymatically to p-Tyr in the kidney and could serve as substrate for gluconeogenesis. Pathological isoforms m- and o-Tyr are supposed to be involved in development of hormone resistances. Role of Phe and the three Tyr isoforms in influencing insulin need was examined in 25 nondiabetic sep...

In this paper, we consider the construction of an optical priority queue with a single (M + 1) × (M + 1) switch and M fiber delay lines. The M fiber delay lines are connected from M outputs of the switch back to M inputs of the switch, leaving one input (resp. output) of the switch for the input (resp. output) of the priority queue. It was known in [8][9] that with an appropriate choice of the ...

In this paper we provide a common framework for different stratified $LM$-convergence spaces introduced recently. To this end, we slightly alter the definition of a stratified $LMN$-convergence tower space. We briefly discuss the categorical properties and show that the category of these spaces is a Cartesian closed and extensional topological category. We also study the relationship of our cat...

The aim of this paper is to present some rigidity results for asymptotically simple spacetimes. By a spacetime we mean a smooth connected time oriented Lorentzian manifold (M, g) of dimension ≥ 3, having signature (−+ · · ·+). We use standard notation for causal theoretic notions, e.g., for A ⊂ M , I(A,M), the timelike future of A in M (resp., I(A,M), the timelike past of A in M), is the set of...