Aim. We have introduced the notion of order to multinormed spaces and countable union spaces and their duals. The topology of bounded convergence is assigned to the dual spaces. The aim of this paper is to develop the theory of ordered topological linear spaces La,b, L′(w, z), the dual spaces of ordered multinormed spaces La,b, ordered countable union spaces L(w, z), with the topology of bounde...

a simple method for fabrication of highly ordered gold nanorod film is introduced in this article. the procedure is based on thermal evaporation of gold into a porous anodic alumina film (paa). the ppa film was fabricated by combining the hard and mild anodization. this combination effectively decreases the processing time of fabrication of highly ordered porous anodic alumina film with control...

Given an ordered eld K we compute the natural valuation and skeleton of the ordered multiplicative group K in terms of those of the ordered additive group K We use this computation to provide necessary and su cient conditions on the value group v K and residue eld K for the L equivalence of the above mentioned groups We then apply the results to exponential elds and describe v K in that case Fi...

We develop a general framework for various lattice-valued, probabilistic and approach uniform convergence spaces. To this end, we use the concept of $s$-stratified $LM$-filter, where $L$ and $M$ are suitable frames. A stratified $LMN$-uniform convergence tower is then a family of structures indexed by a quantale $N$. For different choices of $L,M$ and $N$ we obtain the lattice-valued, probabili...

In that paper, the fuzzy nonlinear programming problem is discussed. In order to obtain more accurate solution, the properties of fuzzy set and fuzzy number with linear membership function and fuzzy maximum decision maker is utilized to fuzzifying the crisp problem. In the illustration, we have given a refinement to obtain this solution.

Residuated structures are important lattice-ordered algebras both for mathematics and for logics; in particular, the development of lattice-valued mathematics and related non-classical logics is based on a multitude of lattice-ordered structures that suit for many-valued reasoning under uncertainty and vagueness. Extended-order algebras, introduced in [10] and further developed in [1], give an ...

A magnetic metal organic framework (MOF) composite was prepared. The composite was fabricated by incorporation of Fe3O4 nanoparticals with MOF. It was characterized and expected to offer a promising template for molecular immobilization and sensor fabrication because of its ordered structure and satisfying large specific surface area. The resulting composite was used to detect methyl parathion....

We introduce a new generalization of Alan Day’s doubling construction. For ordered sets L and K and a subset E ⊆ ≤L we define the ordered set L ?E K arising from inflation of L along E by K. Under the restriction that L and K are finite lattices, we find those subsets E ⊆ ≤L such that the ordered set L ?E K is a lattice. Finite lattices that can be constructed in this way are classified in term...

We introduce a new generalization of Alan Day’s doubling construction. For ordered sets L and K and a subset E ⊆ ≤L we define the ordered set L ?E K arising from inflation of L along E by K. Under the restriction that L and K are finite lattices, we find those subsets E ⊆ ≤L such that the ordered set L ?E K is a lattice. Finite lattices that can be constructed in this way are classified in term...