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An S-Topological BE-Algebras(STBE-Algebras) is a BE-Algebra equipped with a special type of topology that makes the operation (defined on it)as S-topological continuous. In this paper, we discuss the separation axioms on a STBE-Algebras. [ABSTRACT FROM AUTHOR]

In this paper, we present the initiative of type 3 multi fuzzy sets which is an extension of type3 fuzzy sets. we have attempted to propose an extension of type2 multi fuzzy sets into a type3 multi fuzzy sets. In the wake of characterizing type 3 multi fuzzy sets, we examine the algebraic properties of these sets including set-theoretic operation such as complement, inclusion, union, intersection with example. Also we illustrate some algebraic properties. [ABSTRACT FROM AUTHOR]

A soft set can be calculated by a set-valued mapping that assigns precisely one crisp subset of the universe to each parameter. In 1998, X. Liu gave Axiomatic Fuzzy set structure and El-algebra. They pointed out that ordinary fuzzy concepts or human concepts can be represented through any molecular or atomic fuzzy concepts in El-algebra over any finite set of fuzzy concepts. However, this isn't the only way to represent transitive human ideas. The definition of soft sets was extended to El-algebra in this article by taking El-algebra as universe of discourse in soft sets, and certain properties of soft El-algebras were investigated. We also introduced homomorphism between two Elalgebras. [ABSTRACT FROM AUTHOR]

We consider a series of configurations defined by fibers of a given base configuration. We prove that Markov degree of the configurations is bounded from above by the Markov complexity of the base configuration. As important examples of base configurations we consider incidence matrices of graphs and study the maximum Markov degree of configurations defined by fibers of the incidence matrices. In particular we give a proof that the Markov degree for two-way transportation polytopes is three. [ABSTRACT FROM AUTHOR]

The generic identification problem is to decide whether a stochastic process (Xt) is a hidden Markov process and if yes to infer its parameters for all but a subset of parametrizations that form a lower-dimensional subvariety in parameter space. Partial answers so far available depend on extra assumptions on the processes, which are usually centered around stationarity. Here we present a general solution for binary-valued hidden Markov processes. Our approach is rooted in algebraic statistics hence it is geometric in nature. We find that the algebraic varieties associated with the probability distributions of binary-valued hidden Markov processes are zero sets of determinantal equations which draws a connection to well-studied objects from algebra. As a consequence, our solution allows for algorithmic implementation based on elementary (linear) algebraic routines. [ABSTRACT FROM AUTHOR]

The article presents the insights of various guest editors regarding the "Journal of Algebraic Statistics" (JAlgStat). According to Hari M. Srivastava, JAlgStat will be heartily welcomed by the mathematical and statistical communities. Arjun K. Gupta also says that the journal will bond researchers who work on problems in the field of Algebraic Statistics. Ruriko Yoshida describes Algebraic Statistics as an exciting field that is why he wishes success for JAlgStat.

The article presents the authors' insights regarding algebraic statistics. The authors say that algebraic statistics is an active discipline that focuses on algebraic geometry applications and its computational tools in the models of statistics. The authors mention the example applications of algebraic statistics, including operations research, mathematical modeling, and model identification. Meanwhile, submissions for the "Journal of Algebraic Statistics" (JAlgStat) are being sought.