Using the concept of m-open sets, M-regularity and M-normality are introduced investigated. Both these notions closed under arbitrary product. M-normal spaces found to satisfy a result similar Urysohn lemma. It is shown that sets can be separated by m-continuous functions in regular space.

In this paper we study the concept of Latin-majorizati-\on. Geometrically this concept is different from other kinds of majorization in some aspects. Since the set of all $x$s Latin-majorized by a fixed $y$ is not convex, but, consists of union of finitely many convex sets. Next, we hint to linear preservers of Latin-majorization on $ mathbb{R}^{n}$ and ${M_{n,m}}$.

Using computer graphics and visualization algorithms, we extend in this work the results obtained analytically in [1], on the connectivity domains of alternated Julia sets, defined by switching the dynamics of two quadratic Julia sets. As proved in [1], the alternated Julia sets exhibit, as for polynomials of degree greater than two, the disconnectivity property in addition to the known dichoto...

For $$m\ge 4$$ even, the duals of p-ary codes, for any prime p, from adjacency matrices m-ary 2-cube $$Q^m_2$$ are shown to have subcodes with parameters $$[m^2,2m-2,m]$$ which minimal PD-sets size $$\frac{m}{2}$$ constructed, hence attaining full error-correction capabilities code, and, as such, most efficient sets permutation decoding.

We introduce notions of soft rough m-polar fuzzy sets and m-polar fuzzy soft rough sets as novel hybrid models for soft computing, and investigate some of their fundamental properties. We discuss the relationship between m-polar fuzzy soft rough approximation operators and crisp soft rough approximation operators. We also present applications of m-polar fuzzy soft rough sets to decision-making.

Predictions of suspended sediment load for Soolegan River, Iran using selected empirical equ-ations were made based on 355 data sets. Data include flow discharges from 3.11 m3/s to 43.81 m3/s, flow velocities from 0.22 m/s to 1.03 m/s, and flow depths from 0.5 to 1.03 m. Equations of Einstein (1950), Bagnold (1966), Toufalleti (1968), Brooks (1963), Chang-Simons-Richardson(1965),Lane-Kalinske (...