• Journal of the Korean Data and Information Science Society
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• 제14권1호
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• pp.131-141
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• 2003

In this paper, we prove that multi-variate fuzzy polynomials are universal approximators for multi-variate fuzzy functions which are the extension principle of continuous real-valued function under $T_W-based$ fuzzy arithmetic operations for a distance measure that Buckley et al.(1999) used. We also consider a class of fuzzy polynomial regression model. A mixed non-linear programming approach is used to derive the satisfying solution.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제8권4호
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• pp.299-305
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• 2008

The object of this paper is to introduce the notion of compatible mapping of type(${\alpha}$) in intuitionistic fuzzy metric space, and to establish common fixed point theorem for five mappings in intuitionistic fuzzy metric space. Our research are an extension for the results of [1] and [7].

• 한국지능시스템학회논문지
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• 제14권1호
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• pp.88-92
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• 2004

In this paper, we define and study the semiprimary k-fuzzy ideals in a commutative k-semiring and characterize the quotient semiring R/A of a k-semiring R by a semiprimary k-fuzzy ideal A. In particular, we show that every zero divisor of R/A is nilpotent.

• Journal of applied mathematics & informatics
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• 제39권3_4호
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• pp.507-527
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• 2021

In this paper, we study existence of extremal solutions for fuzzy differential equations driven by Liu process. To show extremal solutions, we define partial ordering relative to fuzzy process. This is an extension of the results of Kwun et al. [5] and Rodríguez-López [13] to fuzzy differential equations in credibility space.

• Journal of applied mathematics & informatics
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• 제14권1_2호
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• pp.137-155
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• 2004

Fuzzification of a fantastic filter in a lattice implication algebra is considered. Relations among a fuzzy filter, a fuzzy fantastic filter, and fuzzy positive implicative filter are stated. Conditions for a fuzzy filter to be a fuzzy fantastic filter are given. Using the notion of level set, a characterization of a fuzzy fantastic filter is considered. Extension property for fuzzy fantastic filters is established. The notion of normal/maximal fuzzy fantastic filters and complete fuzzy fantastic filters is introduced, and some related properties are investigated.

• 대한수학회지
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• 제43권3호
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• pp.623-634
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• 2006

Various methods have been studied to construct a fuzzy regression model in order to present a fuzzy relation between a dependent variable and an independent variable. However, in the fuzzy regression analysis the value of the center point of estimated fuzzy output may be either greater than the value of the right endpoint or smaller than the value of the left endpoint. In the case, we cannot predict the fuzzy output properly. This paper presents sufficient conditions to construct the fuzzy regression model using several methods investigated by some authors and then introduces the censored fuzzy regression model using the censored samples to manipulate the problem of crossing of the center and the end points of the estimated fuzzy number. Examples show that the censored fuzzy regression model is an extension of the fuzzy regression model and also it improves the problem of crossing.

• 한국지능시스템학회논문지
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• 제19권4호
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• pp.545-549
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• 2009

마이크로어레이 데이터는 수천가지 유전자의 발현정보를 포함할 수 있으며, 여기에서 의미있는 패턴을 추출하여 추가적인 분석을 위한 목적으로 활용되고 있다. 다수의 샘플 또는 실험에 대해서 마이크로어레이 데이터가 수집된 경우에 분석자가 관심을 갖는 유전자들이나 샘플들을 효과적으로 검색하는 것이 필요한 경우가 있다. 이 논문에서는 단순한 조건뿐만 아니라 복잡한 조건을 정의하여 원하는 특성을 만족하는 유전자나 샘플을 추출하는 방법으로 퍼지 시그너쳐 집합을 활용하는 방법을 제안한다. 퍼지 시그너쳐는 벡터값을 값을 갖는 퍼지 집합을 확장한 것으로, 벡터의 각 요소가 다시 벡터가 되는 것을 허용하는 재귀적인 구조이다. 퍼지 시그너쳐 집합은 단말 원소가 구간 [0,1] 사이에서 정의된 퍼지집합이라는 것을 제외하면 퍼지 시그너쳐와 같은 구조를 가진다. 이 논문에서는 각 내부 노드에 대해서 명시적으로 결합 연산자를 지정하도록 하고, 결합 연산을 위해 비교연산자를 사용할 수 있도록 확장한 퍼지 시그너쳐 집합을 소개한다. 또한 확장된 퍼지 시그너쳐 집합을 마이크로어레이 데이터 검색을 위해 사용하는 방법과 이를 사용한 예를 보인다.

• Kyungpook Mathematical Journal
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• 제45권2호
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• pp.177-189
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• 2005

We obtain characterizations of T-fuzzy (implicative) filters and some properties of T-product of fuzzy (implicative) filters in lattice implication algebras. We also establish the extension property for T-fuzzy implicative filters.

• 대한수학회지
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• 제35권3호
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• pp.765-782
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• 1998

The purpose of this paper is to give convergence theorems both for closed convex set valued and relative fuzzy valued martingales, and sub- and super- martingales. These kinds of martingales, sub- and super-martingales are the extension of classical real valued martingales, sub- and super-martingales. Here we compare two kinds of convergences, in the Hausdorff metric and in the Kuratowski-Mosco sense. We also introduce a new convergence for the fuzzy valued case in the graph sense and obtain convergence theorems.

• 한국지능시스템학회논문지
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• 제16권3호
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• pp.321-325
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• 2006

The purpose of this paper is to establish the common fixed point theorem in the intuitionistic fuzzy metric space in which it is a little revised in Park [11]. Our research are an extension of Jungck's common fixed point theorem [8] in the intuitionistic fuzzy metric space.