• Journal of applied mathematics & informatics
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• 제19권1_2호
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• pp.1-17
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• 2005

In this paper we present a pair of operators (t-norm, t-conorm) dual with a strong negation with n-threshold $a_1,\;{\ldots}, a_n\;{\in}(0,1),\;a_1\;<\;a_2\;<\;{\ldots}\;<\;a_n$. In this way we obtain an extension of operators with threshold, that are obtained for n = 1. The new pair is obtained from given one.

• Korean Journal of Mathematics
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• 제10권1호
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• pp.37-44
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• 2002

In this paper, we obtain an algebraic structure which is equivalent to an MV-algebra. Moreover, we show that $t$-norm and $t$-conorm can be obtained from MV-algebras.

• Journal of applied mathematics & informatics
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• 제5권2호
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• pp.449-456
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• 1998

In this paper a new type of t-operators with double threshold a,b,$\in$(0,1). a$\leq$b, is presented, each pair (t-norm, t-conorm) consisting of two dual elements with respect to a negation with double threshold.

• 한국지능시스템학회:학술대회논문집
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• 한국지능시스템학회 2008년도 춘계학술대회 학술발표회 논문집
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• pp.121-124
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• 2008

We will establish common fixed point theorem and example for four self maps in intuitionistic fuzzy metric space.

• 한국정보처리학회논문지
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• 제5권10호
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• pp.2584-2590
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• 1998

기존의 퍼지 병합 방법에서 여러 개의 소속함수 값을 병합하는 방법으로 t-norm, t-conorm, mean 연산자, Yager 연산자 그리고 $\gamma$ -연산자등과 같은 형태의 연산자가 사용되고 있다. 그러나, 이들 방법은 의사결정 과정에 의사결정시의 상황을 적절히 반영할 수 없는 문제점이 있다. 이러한 문제점을 해결하기 위해 이 논문에서는 의사결정 과정에 의사결정시의 상황을 반영해 주기 위한 상황 평가 모델을 제안한다. 이를 이용해 퍼지 의사결정 환경에서 여러 개의 소속함수 값을 의사결정시의 상황에 따라 방향성을 가지고 단계별로 병합하는 상황 평가에 기반을 둔 병합 방법을 제안하고 기존의 병합 방법과 비교 분석한다.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제16권1호
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• pp.19-30
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• 2009

In this paper, we prove some common fixed point theorems for six maps satisfying compatible maps of type(${\alpha}$) on intuitionistic fuzzy metric spaces in sense of Park et al.[7]. Our research are generalization and extension for the results of [1], [2], [3] and [13].

• 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].

• Journal of applied mathematics & informatics
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• 제41권3호
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• pp.541-552
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• 2023

In 2005, Patterson studied lacunary statistical convergence of double sequences of real numbers and, in 2009, Mursaleen introduced notion of lacunary statistical convergence of single sequences in intuitionistic fuzzy normed space. The current work intends to investigate the lacunary statistical convergence of double sequences and some significant conclusions on the algebra of the lacunary statistical limit of double sequences in intuitionistic fuzzy normed space. In addition, we have studied some examples to support the definitions.

• 한국지능시스템학회논문지
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• 제18권4호
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• pp.524-529
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• 2008

Park et.al.[10] defined the intuitionistic fuzzy metric space in which it is a little revised in Park[4], and Park et.a1.[7] proved a fixed point theorem of Banach for the contractive mapping of a complete intuitionistic fuzzy metric space. In this paper, we will establish common fixed point theorem for four self maps in intuitionistic fuzzy metric space. These results have been used to obtain translation and generalization of Grabiec's contraction principle.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제7권3호
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• pp.159-164
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• 2007

Park, Park and Kwun[6] is defined the intuitionistic fuzzy metric space in which it is a little revised from Park[5]. According to this paper, Park, Kwun and Park[11] Park and Kwun[10], Park, Park and Kwun[7] are established some fixed point theorems in the intuitionistic fuzzy metric space. Furthermore, Park, Park and Kwun[6] obtained common fixed point theorem in the intuitionistic fuzzy metric space, and also, Park, Park and Kwun[8] proved common fixed points of maps on intuitionistic fuzzy metric spaces. We prove a fixed point for pair of maps with another method from Park, Park and Kwun[7] in intuitionistic fuzzy metric space defined by Park, Park and Kwun[6]. Our research are an extension of Vijayaraju and Marudai's result[14] and generalization of Park, Park and Kwun[7], Park and Kwun[10].