We investigate the fairness of Bayesian estimators (BEs) by viewing them as (irresolute) voting rules and evaluating their satisfaction of desirable social choice axioms. We characterize the class of BEs that satisfy neutrality by the class of BEs with a neutral structure. We prove that a BE with neutral structure is a minimax rule if it further satisfies parameter connectivity. We prove that n...

Brainstorming for keywords is used in retrieving patent documents, but even experienced engineers are irresolute in dealing with this critical issue. The quality of a patent report is usually already determined by the keywords they used in the first step. In order to improve the stumbling stone, this paper demonstrates a newmethod of how to find the significant-rare in a patent database. The re...

The class of ω-closed subsets of a space (X ,τ) was defined to introduce ω-closed functions. The aim of this paper is to introduce and study the class of gω-closed sets. This class of sets is finer than g-closed sets and ω-closed sets. We study the fundamental properties of this class of sets. In the space (X ,τω), the concepts closed set, g-closed set, and gω-closed set coincide. Further, we i...

Recommended by Lokenath Debnath In 1982 and 1970, Hdeib and Levine introduced the notions of ω-closed set and generalized closed set, respectively. The aim of this paper is to provide a relatively new notion of generalized closed set, namely, regular generalized ω-closed, regular generalized ω-continuous, a-ω-continuous, and regular generalized ω-irresolute maps and to study its fundamental pro...

Objectives: The goal of this paper is to introduce the ideas Contra soft generalized** (briefly g**). Continuous functions and almost g**) – in topological spaces. Additionally, we discussed some its characteristics. Methods: To obtain definition contra g**- continuous functions, used previously introduced definition(1) (i.e. inverse image every closed set FQ g**-closed FP). Also, regular open ...

We revisit the incompatibility of anonymity and neutrality in single-valued social choice. first analyze irresoluteness outlook these two axioms together with Pareto efficiency impose on choice rules deliver a method to refine irresolute without violating anonymity, neutrality, efficiency. Next, we propose weakening called consequential that requires resolute assign each alternative same number...

In contrast to the semilattice of groups case, an inverse semigroup S which is the union of strongly ^-reflexive inverse subsemigroups need not be strongly £-reflexive. If, however, the union is saturated with respect to the Green's relation <3), and in particular if the union is a disjoint one, then 5 is indeed strongly £-reflexive. This is established by showing that fy -saturated inverse sub...