• Journal of applied mathematics & informatics
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• 제15권1_2호
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• pp.91-107
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• 2004

The fuzzy matrices are successfully used when fuzzy uncertainty occurs in a problem. Fuzzy matrices become popular for last two decades. In this paper, two new binary fuzzy operators (equation omitted) and (equation omitted) are introduced for fuzzy matrices. Several properties on (equation omitted) and (equation omitted) are presented here. Also, some results on existing operators along with these new operators are presented.

• 대한수학회논문집
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• 제19권1호
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• pp.35-51
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• 2004

We introduce fuzzy closure systems and fuzzy closure operators as extensions of closure systems and closure operators. We study relationships between fuzzy closure systems and fuzzy closure spaces. In particular, two families F(S) and F(C) of fuzzy closure systems and fuzzy closure operators on X are complete lattice isomorphic.

• Korean Journal of Mathematics
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• 제22권3호
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• pp.553-565
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• 2014

In this paper, we investigate the properties of Alexandrov fuzzy topologies and join-meet approximation operators. We study fuzzy preorder, Alexandrov topologies join-meet approximation operators induced by Alexandrov fuzzy topologies.We give their examples.

• 한국항해학회지
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• 제20권1호
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• pp.87-96
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• 1996

In this paper, The Fuzzy Logic Controller based on T-operators is designed. Some typical T-operators and their mathematical properties are studied. A generalized fuzzy inference model is proposed by introducing the general notion of T-operators into the conventional one which is based only on the Min and Max operators. Fuzzy Logic Control algorithms based on the T-operators are suggested. Then, by computer simulations, the effect of various T-operators on the performance of the fuzzy logic controller are studied. The purpose of these simulation studies were to observe the flexibility and system responses using the processed class of T-operators in the fuzzy inference mechanisms. This observation was made on parameters such as speed of reponses, steady-state behavior and non oscillatory responses.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2000년도 추계종합학술대회 논문집(3)
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• pp.13-16
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• 2000

This paper is to compare DTCNN(Discrete-time Cellular Neural Networks) applying the fuzzy morphology operators with the conventional FCNN(Fuzzy CNN) using the general morphology operators. These methods are to the image filtering, and are compared as MSE. Also the main goal of this paper is to compare the fuzzy morphology operators with the general morphology operators through image input. In a result of computer simulation, we could know that the error of DTCNN applying the fuzzy morphology operators is less about 6.1809 than FCNN using the general morphology operators in the image included 10% noise, also the error of the former is less about 5.5922 than the latter in the image included 20% noise. And the image of DTCNN applying the fuzzy morphology operators is superior to FCNN using the general morphology operators.

• Journal of applied mathematics & informatics
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• 제35권5_6호
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• pp.459-476
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• 2017

Interval valued intuitionistic fuzzy sets (IVIFSs) is widely used to model uncertainty, imprecise, incomplete and vague information. In this paper, newly defined modal operators over an extensional generalized interval valued intuitionistic fuzzy sets ($GIVIFS_Bs$) are proposed. Some of the basic properties of the new operators are discussed and few theorems were proved. The actual contribution in this paper is to discuss ten operators on $GIVIFS_Bs$.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제21권3호
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• pp.183-194
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• 2014

In this paper, we investigate the properties of Alexandrov fuzzy topologies and meet-join approximation operators. We study fuzzy preorder, Alexandrov topologies and meet-join approximation operators induced by Alexandrov fuzzy topologies. We give their examples.

• 대한수학회논문집
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• 제18권2호
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• pp.325-340
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• 2003

We introduce a fuzzy g-closure operator induced by a fuzzy topological space in view of the definition of Sostak [13]. We show that it is a fuzzy closure operator. Furthermore, it induces a fuzzy topology which is finer than a given fuzzy topology. We investigate some properties of fuzzy g-closure operators.

• 정보관리학회지
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• 제10권1호
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• pp.53-63
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• 1993

AND와 OR에 대한 연삭식으로 MIN과 MAX를 사용하는 기존의 퍼지 집합 모델은 많은 경우에 사람이 생각하는 것과 다른 문서값을 생성하기 때문에 정보 검색 모델로서 부적합하다고 비판되어 왔다. 퍼지 집합 이론이 도입된 이후로 AND OR에 대한 연삭식으로 다양한 퍼지 연산자들이 개발되어 왔다. 본 논문에서는 이러한 퍼지 연산자들의 문서값 생성 특성을 분석하고, MIN과 MAX 대신에 긍정적 보상 연산자라 불리는 퍼지 연산자를 사용할 것을 제안한다. 긍정적 보상 연산자를 사용하는 퍼지 집합 모델이 보다 우수한 검색 효율을 제공함을 실험을 통하여 입증한다.

• 한국지능시스템학회논문지
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• 제13권4호
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• pp.469-473
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• 2003

We investigate the properties of fuzzy semi-topogenous orders. We study the relationship among fuzzy supra topologies, fuzzy supra interior operators and fuzzy semi-topogenous orders. We give examples of them.