• 한국지능시스템학회논문지
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• 제18권4호
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• pp.543-548
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• 2008

This paper is to investigate the existence theorem for the semilinear fuzzy integrodifferential equation in $E_N$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E_N$. Main tool is successive iteration method.

• 한국군사과학기술학회지
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• 제2권2호
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• pp.13-23
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• 1999

This paper deals with manufacturing process design of a simplified gun tube applying CE principle. A concept and characteristics of CE, mathematical model for understanding interaction between design and manufacturing, basic elements and related equations for process planning and cost estimating are introduced. A Knowledge-based Computer-Aided Process Planning System(KCAPPS) is constructed, yielding optimal production cost/time for the shape input and selection of appropriate machines and tools.

• Kyungpook Mathematical Journal
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• 제56권1호
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• pp.301-310
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• 2016

In this paper, we introduce and study the concept of a new class of sets called paraopen sets and paraclosed sets in topological spaces. During this process some of their properties are obtained. Also we introduce and investigate a new class of maps called paracontinuous, *-paracontinuous, parairresolute, minimal paracontinuous and maximal paracontinuous maps and study their basic properties in topological spaces.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제3권1호
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• pp.33-40
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• 1996

A convergence structure defined by Kent [4] is a correspondence between the filters on a given set X and the subsets of X which specifies which filters converge to points of X. This concept is defined to include types of convergence which are more general than that defined by specifying a topology on X. Thus, a convergence structure may be regarded as a generalization of a topology. With a given convergence structure q on a set X, Kent [4] introduced associated convergence structures which are called a topological modification and a pretopological modification. (omitted)

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제16권3호
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• pp.259-269
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• 2009

We introduce the concept of intuitionistic fuzzy minimal structure which is an extension of the intuitionistic fuzzy topological space. And we introduce and study the concepts of intuitionistic fuzzy M -continuity, intuitionistic fuzzy Mopen mappings and several types of intuitionistic fuzzy minimal compactness on intuitionistic fuzzy minimal spaces.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제25권4호
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• pp.253-265
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• 2018

In this paper, we introduce the concept of Fibonacci sequences on MV-algebras and study them accurately. Also, by introducing the concepts of periodic sequences and power-associative MV-algebras, other properties are also obtained. The relation between MV-algebras and Fibonacci sequences is investigated.

• Korean Journal of Mathematics
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• 제27권1호
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• pp.131-140
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• 2019

In this paper we have introduced the concept of pseudo-metric which we induced from a pseudo-valuation on KU-algebras and investigated the relationship between pseudo-valuations and ideals of KU-algebras. Conditions for a real-valued function to be a pseudo-valuation on KU-algebras are provided.

• Korean Journal of Mathematics
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• 제27권3호
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• pp.595-612
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• 2019

In this paper, we introduce the concept of ${\beta}$-fuzzy filters in MS-algebras and ${\beta}$-fuzzy filters are characterized in terms of boosters. It is proved that the lattice of ${\beta}$-fuzzy filters is isomorphic to the fuzzy ideal lattice of boosters.

• Korean Journal of Mathematics
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• 제29권3호
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• pp.593-602
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• 2021

In this paper, the concept of s-convex function in the third sense is given. Then fundamental characterizations and some basic algebraic properties of s-convex function in the third sense are presented. Also, the relations between the third sense s-convex functions according to the different values of s are examined.

• Korean Journal of Mathematics
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• 제28권4호
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• pp.775-789
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• 2020

In this paper the concept of e-fuzzy filters is introduced in a Stone Almost Distributive Lattice. Several properties are derived on e-fuzzy filters with the help of maximal fuzzy filters. It is proved that the set of all e-fuzzy filters forms a complete distributive lattice.