• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2001년도 추계학술대회 학술발표 논문집
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• pp.328-331
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• 2001

In Cretu [Fuzzy Sets and Systems 120(2001) 371-383], triangular norms and their hierarchy are investigated. In this paper, we give new proofs which are significantly shorter than those given in Cretu, applying a known result which involves only one argument of one-place rather than two place arguments by Klement et al. [FSS 86(1997) 189-195]

• Journal of the Korean Data and Information Science Society
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• 제13권2호
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• pp.139-145
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• 2002

In Cretu (2001), triangular norms and their hierarchy are investigated. In this paper, we give new proofs which are significantly shorter than those given in Cretu, applying a known result which involves only one argument of one-place rather than two-place argument s by Klement et al.(1997).

• 대한수학회논문집
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• 제32권2호
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• pp.353-359
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• 2017

Starting from a t-norm T, it is possible to construct a class of new t-norms, so-called T-generalized t-norm. The purpose of this paper is to describe some properties of this class of generalized t-norms. An algebraic structure as well as a binary relation among t-norms are also investigated. Some open problems are discussed as well.

• 한국소프트웨어감정평가학회 논문지
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• 제16권2호
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• pp.153-162
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• 2020

디지털 이미지 위조 탐지는 디지털 포렌식 분야에서 매우 중요한 분야 중 하나이다. 기술의 발전을 통해 위조된 이미지가 자연스럽게 바뀜에 따라 이미지 위조를 감지하기 어렵게 만들었다. 본 논문에서는 디지털 이미지에서 복사 붙여넣기 위조에 대한 수동적 위조 검출을 이용한다. 또한, L₀ Norm 기반 LE 연산자를 사용해 복사 붙여넣기 위조를 검출함과 동시에 기존에 존재하던 L₂, L₁ Norm 기반 LE 연산자를 이용한 위조 검출 정확도를 비교하였다. 제안한 하삼각 윈도우를 적용하고 L₂, L₁ 및 L₀ Norm 기반 LE 연산자를 통해 BAG 불일치를 검출하고 위조 검출률을 측정하였다. 검출률의 비교에서 제안한 하삼각 윈도우는 기존의 윈도우 필터보다 BAG 불일치 검출에 강인함을 볼 수 있었다. 또한, 하삼각 윈도우를 쓰는 경우 L₂, L₁, L₀ Norm LE 연산으로 갈수록 이미지 위조 검출의 성능이 점점 높게 측정되었다.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제8권7호
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• pp.2420-2433
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• 2014

Fusing the scores of multibiometrics is a very promising approach to improve the overall system's accuracy and the verification performance. In recent years, there are several approaches towards studying score level fusion of several biometric systems. However, most of them does not consider the genuine and imposter score distributions and result in a higher equal error rate usually. In this paper, a novel score level fusion approach of different biometric systems (dual iris, thermal and visible face traits) based on $Acz{\acute{e}}l$-Alsina triangular norm is proposed. It achieves higher identification performance as well as acquires a closer genuine distance and larger imposter distance. The experimental tests are conducted on a virtual multibiometrics database, which merges the challenging CASIA-Iris-Thousand database with noisy samples and the NVIE face database with visible and thermal face images. The rigorous results suggest that significant performance improvement can be achieved after the implementation of multibiometrics. The comparative experiments also ascertain that the proposed fusion approach outperforms the state-of-art verification performance.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제9권2호
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• pp.99-106
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• 2005

We present a relation between the orthogonality of the constrained Legendre polynomials over the triangular domain and the BB ($B{\acute{e}zier}\;-Bernstein$) coefficients of the polynomials using the equivalence of orthogonal complements. Using it we also show that the best constrained degree reduction of polynomials in BB form equals the best approximation of weighted Euclidean norm of coefficients of given polynomial in BB form from the coefficients of polynomials of lower degree in BB form.

• 대한수학회논문집
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• 제24권4호
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• pp.565-579
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• 2009

In this paper, we give some new fixed point theorems for contractive type mappings in intuitionistic fuzzy metric spaces. We improve and generalize the well-known fixed point theorems of Banach [4] and Edelstein [8] in intuitionistic fuzzy metric spaces. Our main results are intuitionistic fuzzy version of Fang's results [10]. Further, we obtain some applications to validate our main results to product spaces.

• Journal of applied mathematics & informatics
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• 제22권1_2호
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• pp.411-424
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• 2006

The purpose of this paper, using the idea of intuitionistic fuzzy set due to Atanassov [2], we define the notion of intuitionistic fuzzy metric spaces (see, [1]) due to Kramosil and Michalek [17] and Jungck's common fixed point theorem ([11]) is generalized to intuitionistic fuzzy metric spaces. Further, we first formulate the definition of weakly commuting and R-weakly commuting mappings in intuitionistic fuzzy metric spaces and prove the intuitionistic fuzzy version of Pant's theorem ([21]).

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제20권1호
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• pp.11-23
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• 2013

In this paper, we obtain a common fixed point theorem for multivalued mappings in a complete Menger $\mathcal{L}$-fuzzy metric space. $\mathcal{L}$-fuzzy metric space is a generalization of fuzzy metric spaces and intuitionistic fuzzy metric spaces. We extend and generalize the results of Kubiaczyk and Sharma [24], Sharma, Kutukcu and Rathore [34].

• 대한수학회지
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• 제52권6호
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• pp.1287-1303
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• 2015

The Hausdorff topology induced by a fuzzy metric space under more weak assumptions is investigated in this paper. Another purpose of this paper is to obtain the Banach contraction theorem in fuzzy metric space based on a natural concept of Cauchy sequence in fuzzy metric space.