In recent years, many studies have been done on forecasting fuzzy time series. First-order fuzzy time series forecasting methods with first-order lagged variables and high-order fuzzy time series forecasting methods with consecutive lagged variables constitute the considerable part of these studies. However, these methods are not effective in forecasting fuzzy time series which contain seasonal...

An approach based on applying Delaunay triangulation to compression of mean values of image blocks that have non-identical shape and size is proposed. It can be useful for image compression methods that require the use of image partition schemes with non-equal block size like fractal and DCT-based image coding. The data about block mean values occupy a rather considerable part of total data sav...

iran’s vast common natural gas resources and the necessity to extract and export it as liquefied natural gas (lng) to distances more than 3000km opens a lucrative field for researchers to optimize lng cycles. in this article heat integration in cryogenic cycles by determining interacycle partition temperature and optimizing refrigeration features like subcooler, presaturator, aftercooler, reboi...

Let be a partition of an integer n chosen uniformly at random among all such partitions. Let s( ) be a part size chosen uniformly at random from the set of all part sizes that occur in . We prove that, for every xed m 1, the probability that s( ) has multiplicity m in approaches 1=(m(m + 1)) as n ! 1. Thus, for example, the limiting probability that a random part size in a random partition is u...

The potential for enhanced mobility of hydrophobic pollutants by cotransport with bacteria in saturated soils was evaluated from measurements of biosorption of 14C-labeled hexachlorobenzene and dichlorodiphenyltrichloroethane (DDT) to five strains of soil and sewage bacteria. The sorption process could be described by a linear partition equation and appeared to be reversible, but desorption kin...

String comparison is a fundamental problem in computer science, with applications in areas such as computational biology, text processing or compression. In this paper we address the minimum common string partition problem, a string comparison problem with tight connection to the problem of sorting by reversals with duplicates, a key problem in genome rearrangement. A partition of a string A is...

We present an affirmative answer to Stanley’s zrank problem, namely, the zrank and rank are equal for any skew partition. We show that certain classes of restricted Cauchy matrices are nonsingular and furthermore, the signs depend on the number of zero entries. Similar to notion of the jrank of a skew partition, we give a characterization of the rank in terms of the Giambelli type matrices of t...

The principal result of the paper is that, if r < u and (A¡)i<r is a partition of u, then there exist i < r and infinite subsets B and C of to such that 2 F e A¡ and IIG G A¡ whenever F and G are finite nonempty subsets of B and C respectively. Conditions on the partition are obtained which are sufficient to guarantee that B and C can be chosen equal in the above statement, and some related fin...

Because the partition coefficient is one of the most important parameters affecting microsegregation, the aim of this research is to experimentally analyse the partition coefficient in Al-Mg alloys. In order to experimentally measure the partition coefficient, a series of quenching experiments during solidification were carried out. For this purpose binary Al-Mg alloys containing 6.7 and 10.2 w...