• Journal of applied mathematics & informatics
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• 제29권5_6호
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• pp.1351-1361
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• 2011

We in this paper study the complete convergence and almost surely convergence for arrays of rowwise pairwise negatively dependent(ND) random variables (r.${\upsilon}$.'s) which are dominated randomly by some random variables and obtain a result dealing with complete convergence of linear processes.

• Journal of applied mathematics & informatics
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• 제31권3_4호
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• pp.417-424
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• 2013

Giuliano Antonini et al.(2008) have introduced the concept of extended acceptability and the results show that the extended acceptability structure has no effect on the exponential inequality except replacing a constant M = 1 with a constant M > 0. We discuss the complete convergence for extended acceptable random variables by using the exponential inequality.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제10권4호
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• pp.233-244
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• 2003

In this paper, we introduce the concepts of t-intuitionistic fuzzy products and t-intuitionistic fuzzy subgroupoids. And we study some properties of t-products and t-subgroupoids.

• Journal of applied mathematics & informatics
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• 제35권5_6호
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• pp.543-550
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• 2017

In this paper, we introduced a new asymptotic pairwise negatively dependent(APND) structure of stochastic processes. We are also important to know the degree of APND-ness and to compare pairs of stochastic vectors as to their APND-ness. So, we introduced a definitions and some basic properties of APND ordering. Some preservation results of APND ordering are derived. Finally, we shown some examples and applications.

• 대한수학회논문집
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• 제23권3호
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• pp.447-452
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• 2008

We provide some examples around AP and WAP spaces which are connected with higher convergence properties-radiality, semiradiality and pseudoradiality. We also prove a theorem (Theorem 3.2) that (a) any pseudo-open continuous image of an AP-space is an AP-space and (b) any pseudo-open continuous image of an WAP-space is an WAP-space. This answers the question posed by V. V. Tkachuk and I. V. Yaschenko [10].

• Communications for Statistical Applications and Methods
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• 제12권1호
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• pp.117-123
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• 2005

A functional central limit theorem is obtained for a stationary linear process of the form $X_{t}= \sum\limits_{j=0}^\infty{a_{j}x_{t-j}}$, where {x_t} is a strictly stationary sequence of negatively associated random variables with suitable conditions and {a_j} is a sequence of real numbers with $\sum\limits_{j=0}^\infty|a_{j}|<\infty$.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제11권3호
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• pp.243-265
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• 2004

In this paper, we introduce the fundamental concepts of intuitionistic fuzzy Q-neighborhood, intuitionistic Q-first axiom of countability, intuitionistic first axiom of countability, intuitionistic fuzzy closure operator, intuitionistic fuzzy boundary point and intuitionistic fuzzy accumulation point and investigate some of their properties.

• 호남수학학술지
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• 제25권1호
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• pp.117-127
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• 2003

In this note we perform an extreme point analysis on two natural definitions of negative quadrant dependence of three random variables and examine how different these two notions of dependence. We also characterize some special distributions which are both negatively lower orthant dependent and negatively upper orthant dependent.

• 호남수학학술지
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• 제26권4호
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• pp.559-587
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• 2004

We study some properties of intuitionistic fuzzy normal subgroups of a group. In particular, we obtain two characterizations of intuitionistic fuzzy normal subgroups. Moreover, we introduce the concept of an intuitionistic fuzzy coset and obtain several results which are analogous of some basic theorems of group theory.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제10권2호
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• pp.134-141
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• 2010

We introduce the category IVSet(H) of interval-valued H-fuzzy sets and show that IVSet(H) satisfies all the conditions of a topological universe except the terminal separator property. And we study some relations among IVSet (H), ISet (H) and Set (H).