• Journal of applied mathematics & informatics
• /
• v.19 no.1_2
• /
• pp.1-17
• /
• 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
• /
• v.10 no.1
• /
• pp.37-44
• /
• 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
• /
• v.5 no.2
• /
• pp.449-456
• /
• 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.

• Proceedings of the Korean Institute of Intelligent Systems Conference
• /
• 2008.04a
• /
• pp.121-124
• /
• 2008

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

• The Transactions of the Korea Information Processing Society
• /
• v.5 no.10
• /
• pp.2584-2590
• /
• 1998

In the existing fuzzy aggregation method, the operators such as t-norm, t conorm, mean operator, Yafer's operator and $\gamma$ operator are used to aggregate the values of membership functions. However, these methods have problems in that they do not reflect the decision situation properlyin the decision process. In order to solve these problems we suggest a situation assessment model(SAM) to reflect the decision situation in the decision proess. In the fuzzy decision environment, we propose a new aggregation method to reflect the decision situation using the result of SAM. We call it the aggregation based on situation assessment (ASA) method. It makes the stepwise aggregation with derection according to the decision situation. Moreover, we compare ASA method with the existing aggregation methods.

• The Pure and Applied Mathematics
• /
• v.16 no.1
• /
• pp.19-30
• /
• 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
• /
• v.8 no.4
• /
• pp.299-305
• /
• 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
• /
• v.41 no.3
• /
• pp.541-552
• /
• 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.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.18 no.4
• /
• pp.524-529
• /
• 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
• /
• v.7 no.3
• /
• pp.159-164
• /
• 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].