• The Pure and Applied Mathematics
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• v.19 no.2
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• pp.127-136
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• 2012

In this paper, we introduce the notion of an implicative vague filter in BE-algebras, and investigate some properties of them. Also we give conditions for a vague set to be an implicative vague filter, and we characterize implicative vague filters in BE-algebras. We define the notion of $n$-fold implicative vague filters in BE-algebras and we give characterizations of $n$-fold implicative vague filters and $n$-fold implicative BE-algebras.

• Language and Information
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• v.14 no.1
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• pp.25-48
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• 2010

The distinction of argument and adjunct has been an important notion in linguistic theories, especially at the interface of syntax and semantics, and this distinction has been believed to be binary and categorical. However, there are some gray-area cases such as instruments and participant locations, for which the distinction does not appear to be so clear. In this paper, I will explore whether the argument/adjunct distinction is categorical by examining the controversial cases, particularly the instrumental PPs. I will review the syntactic, semantic, and psychological criteria and evidence that have been proposed in literature and see if instruments can be categorized as either arguments or adjuncts by those criteria. By showing that different criteria yield contradictory results, I conclude that roles like instruments have characteristics of both arguments and adjuncts, which seems to suggest that the argument/adjunct distinction is not categorical.

• Journal of the Korean Institute of Telematics and Electronics S
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• v.35S no.1
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• pp.114-121
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• 1998

In this paper, we introudce the notion of the smoothly perfect 8-conntected (SP8C) contour and describe a coding technique for the SP8C contours. Based on the simplificationusing the majority filter proposed by Gu, SP8C contours are restricted on the contour lattice from the segmented image. By noting thating SP8C contours are restricted to travel in only 3 different directions along the contours, we attempt to encode the SP8C contours using the following two techniques. The one is the neighbouring direction segmentcoding, while the other is to employ the notion of the entropy endoding. Computer simulations reveal that the contours can be efficiently encoded by the two technique.

• Journal of applied mathematics & informatics
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• v.22 no.1_2
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• pp.475-489
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• 2006

After the introduction of fuzzy sets by Zadeh [8], there have been a number of generalizations of fundamental concept. The notion of intuitionistic fuzzy sets introduced by Atanassov is one among them. An intuitionistic fuzzy set is also called a bifuzzy set according to [5]. In this paper, we apply the concept of a bifuzzy set to (implicative) ideals in pseudo MV-algebras. The notion of a bifuzzy (implicative) ideal of a pseudo MV-algebra is introduced, and some related properties are investigated. Conditions for a bifuzzy set to be a bifuzzy ideal are given, and characterizations of a bifuzzy (implicative) ideal are provided. Using a family of ideals, bifuzzy ideals are established.

• Journal of applied mathematics & informatics
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• v.14 no.1_2
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• pp.137-155
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• 2004

Fuzzification of a fantastic filter in a lattice implication algebra is considered. Relations among a fuzzy filter, a fuzzy fantastic filter, and fuzzy positive implicative filter are stated. Conditions for a fuzzy filter to be a fuzzy fantastic filter are given. Using the notion of level set, a characterization of a fuzzy fantastic filter is considered. Extension property for fuzzy fantastic filters is established. The notion of normal/maximal fuzzy fantastic filters and complete fuzzy fantastic filters is introduced, and some related properties are investigated.

• Journal of applied mathematics & informatics
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• v.27 no.5_6
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• pp.1293-1305
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• 2009

Molodtsov [D. Molodtsov, Soft set theory First results, Comput. Math. Appl. 37 (1999) 19-31] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of soft sets by Molodtsov to the theory of BCC-algebras. The notion of (trivial, whole) soft BCC-algebras and soft BCC-subalgebras are introduced, and several examples are provided. Relations between a fuzzy subalgebra and a soft BCC-algebra are given, and the characterization of soft BCC-algebras is established.

• Bulletin of the Korean Mathematical Society
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• v.29 no.2
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• pp.257-264
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• 1992

Since Alfsen and Effors [1] introduced the notion of an M-ideal, many authors [3,6,9,12] have worked on the problem of finding those Banach spaces X and Y for which K(X,Y), the space of all compact linear operators from X to Y, is an M-ideal in L(X,Y), the space of all bounded linear operators from X to Y. The M-ideal property of K(X,Y) in L(X,Y) gives some informations on X,Y and K(X,Y). If K(X) (=K(X,X)) is an M-ideal in L(X) (=L(X,X)), then X has the metric compact approximation property [5] and X is an M-ideal in $X^{**}$ [10]. If X is reflexive and K(X) is an M-ideal in L(X), then K(X)$^{**}$ is isometrically isomorphic to L(X)[5]. A weaker notion is a semi M-ideal. Studies on Banach spaces X and Y for which K(X,Y) is a semi M-ideal in L(X,Y) were done by Lima [9, 10].

• Communications of the Korean Mathematical Society
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• v.28 no.3
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• pp.589-596
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• 2013

This paper is an attempt to study and introduce the notion of ${\omega}$-dense set in weak structures and the notion of m-dense set in minimal structures. We have also investigate the relationships between ${\omega}$-dense sets, $m$-dense sets, ${\sigma}({\omega})$ sets, ${\pi}({\omega})$ sets, $r({\omega})$ sets, ${\beta}({\omega})$ sets, m-semiopen sets and $m$-preopen sets. Further we give some representations of the above generalized sets in minimal structures as well as in weak structures.

• Journal of the Korean Mathematical Society
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• v.57 no.1
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• pp.171-194
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• 2020

For a nonautonomous dynamics defined by a sequence of bounded linear operators on a Banach space, we give a characterization of the existence of an exponential dichotomy with respect to a sequence of norms in terms of the invertibility of a certain linear operator between general admissible spaces. This notion of an exponential dichotomy contains as very special cases the notions of uniform, nonuniform and tempered exponential dichotomies. As applications, we detail the consequences of our results for the class of tempered exponential dichotomies, which are ubiquitous in the context of ergodic theory, and we show that the notion of an exponential dichotomy under sufficiently small parameterized perturbations persists and that their stable and unstable spaces are as regular as the perturbation.

• Journal of the Korean Society of Costume
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• v.52 no.1
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• pp.159-173
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• 2002

The subject of the paper is for the study about the implication and the changes of design and functions in the underwear by the change of the times from late 19c until present time. Researching on documents and magazine's articles, and interviewing with women older than 60s is used for the period of previous 1960s. researching on documents, advertising, newspaper, and interviewing with the persons concerned is used for the period of after 1960s. Analysis showed periodical change in underwear is divided into that the changes of the time is divided into 1890-1950 start to Westernization in underwear, 1957-1969 Ready made in underwear. 1950-1969 Variety in underwear, 1980-1989 Fashioning, functioning in underwear, 1990-present Withdrawing from fundamental notion in underwear. The time of 1890-l950 showed the biggest change in an external form in underwear. In 1950-1969, notions of beauty in underwear ultimately swatch from Oriental sense to Western sense, In 70s, underwear achieved the early stage of fashioning. In 80s, Underwear became one of fashion item. In 90s, underwear achieved higher quality and variety. The basic notion of underwear was destroyed by exposing underwear.