• Journal of the Korean Institute of Intelligent Systems
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• v.19 no.1
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• pp.128-132
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• 2009

In this paper, we introduce the concept of fuzzy S-weakly (r,s)-continuous mapping on an intuitionistic fuzzy topological space in Sostak's sense and investigate some properties of such mappings.

• Journal of the Korean Institute of Intelligent Systems
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• v.17 no.4
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• pp.550-556
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• 2007

In this paper, we introduce the concepts of fuzzy (r, s)-semi-preopen sets and fuzzy (r, s)-semi-precontinuous mappings on intuitionistic fuzzy topological spaces in ${\check{S}}ostak's$ sense. The relations among fuzzy (r, s)-semicontinuous, fuzzy (r, s)-precontinuous, and fuzzy (r, s)-semi-precontinuous mappings we discussed. The concepts of fuzzy (r, s)-semi-preinterior, fuzzy (r, s)-semi-preclosure, fuzzy (r, s)-semi-preneighborhood, and fuzzy (r, s)-quasi-semi-preneighborhood are given. Using these concepts, the characterization for the fuzzy (r, s)-semi-precontinuous mapping is obtained. Also, we introduce the notions of fuzzy (r, s)-semi-preopen and fuzzy (r, s)-semi-preclosed mappings on intuitionistic fuzzy topological spaces in ${\check{S}}ostak's$ sense, and then we investigate some of their characteristic properties.

• Communications of the Korean Mathematical Society
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• v.13 no.1
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• pp.137-150
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• 1998

The purpose of this paper is to introduce and study the concept of fuzzy FC-compactness for fuzzy topological spaces.

• East Asian mathematical journal
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• v.18 no.1
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• pp.147-154
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• 2002

In this paper, we prove a few coincidence point theorems for two pairs of mappings in $T_1$ topological spaces. Our results extend, improve and unify the corresponding results in [1]-[3].

• 제어로봇시스템학회:학술대회논문집
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• 2005.06a
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• pp.250-255
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• 2005

For navigation of a service robot, mapping and localization are very important. To estimate the robot pose, the map of the environment is required and it can be built by exploration or SLAM. Exploration is the fundamental task of guiding a robot autonomously during mapping such that it covers the entire environment with its sensors. In this paper, an efficient exploration scheme based on the position probability of the end nodes of a topological map is proposed. In this scheme, a topological map is constructed in real time using the thinning-based approach. The robot then updates the position probability of each end node maintaining its position at the current location based on the Bayesian update rule using the range data. From this probability, the robot can determine whether or not it needs to visit the specific end node to examine the environment around this node. Various experiments show that the proposed exploration scheme can perform exploration more efficiently than other schemes in that, in most cases, exploration for the entire environment can be completed without directly visiting everywhere in the environment.

• Journal of applied mathematics & informatics
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• v.30 no.3_4
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• pp.685-691
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• 2012

We define and characterize a somewhat fuzzy precontinuous mapping and a somewhat fuzzy preopen mapping on a fuzzy topological space. Besides, some interesting properties of those mappings are given.

• Journal of applied mathematics & informatics
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• v.32 no.1_2
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• pp.203-209
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• 2014

We define and characterize a somewhat fuzzy ${\gamma}$-irresolute continuous mapping and a somewhat fuzzy irresolute ${\gamma}$-open mapping on a fuzzy topological space.

• Journal of applied mathematics & informatics
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• v.30 no.5_6
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• pp.1077-1084
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• 2012

We define and characterize a somewhat fuzzy pre-irresolute continuous mapping and a somewhat fuzzy irresolute preopen mapping on a fuzzy topological space. Besides, some interesting properties of those mappings are given.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.10 no.3
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• pp.200-202
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• 2010

In this paper, we introduce the concept of fuzzy ${\gamma}$-quasi open sets which are generalizations of fuzzy ${\gamma}$-open sets, and obtain some basic properties of such fuzzy sets. Also we introduce and study the concepts of fuzzy ${\gamma}$-quasi continuous mapping and fuzzy ${\gamma}$-quasi open(closed) mapping.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.12 no.4
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• pp.319-323
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• 2012

We define and characterize a somewhat fuzzy irresolute continuous mapping and a somewhat fuzzy irresolute semiopen mapping on a fuzzy topological space. Besides, some interesting properties of those mappings are given.