The convergence theory not only is an significantly basic theory of fuzzy topology and fuzzy analysis but also has wide applications in fuzzy inference and some other aspects. In this paper, we introduce the concept of α-generalized-remoteneighborhood of fuzzy points and establish the Moore-Smith α-generalized-convergence theory of L-fuzzy nets. Then, we introduce and study the concept of L-fuz...

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...

In this paper a new class of sets called αδ-closed set is introduced and its properties are studied. Further the notion of Tαδ –Space and αδ–continuity, Super-αδ-continuity, αδirresoluteness, Strongly-αδ-super-irresoluteness are introduced. Further, we obtain some characterizations and some properties.