• 제목/요약/키워드: (1, 2)-ideal

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CONSTRUCTION OF QUOTIENT BCI(BCK)-ALGEBRA VIA A FUZZY IDEAL

  • Liu, Yong-Lin;Jie Meng
    • Journal of applied mathematics & informatics
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    • 제10권1_2호
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    • pp.51-62
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    • 2002
  • The present paper gives a new construction of a quotient BCI(BCK)-algebra X/${\mu}$ by a fuzzy ideal ${\mu}$ in X and establishes the Fuzzy Homomorphism Fundamental Theorem. We show that if ${\mu}$ is a fuzzy ideal (closed fuzzy ideal) of X, then X/${\mu}$ is a commutative (resp. positive implicative, implicative) BCK(BCI)-algebra if and only if It is a fuzzy commutative (resp. positive implicative, implicative) ideal of X Moreover we prove that a fuzzy ideal of a BCI-algebra is closed if and only if it is a fuzzy subalgebra of X We show that if the period of every element in a BCI-algebra X is finite, then any fuzzy ideal of X is closed. Especiatly, in a well (resp. finite, associative, quasi-associative, simple) BCI-algebra, any fuzzy ideal must be closed.

IDEAL BOUNDARY OF CAT(0) SPACES

  • Jeon, Myung-Jin
    • 대한수학회논문집
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    • 제13권1호
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    • pp.95-107
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    • 1998
  • In this paper we prove the Hopf-Rinow theorem for CAT(0) spaces and show that the ideal boundaries of complete CAT(0) manifolds of dimension 2 or 3 with some additional conditions are homeomorphic to the circle or 2-sphere by the characterization of the local shadows around the branch points.

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ON THE (n, d)th f-IDEALS

  • GUO, JIN;WU, TONGSUO
    • 대한수학회지
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    • 제52권4호
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    • pp.685-697
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    • 2015
  • For a field K, a square-free monomial ideal I of K[$x_1$, . . ., $x_n$] is called an f-ideal, if both its facet complex and Stanley-Reisner complex have the same f-vector. Furthermore, for an f-ideal I, if all monomials in the minimal generating set G(I) have the same degree d, then I is called an $(n, d)^{th}$ f-ideal. In this paper, we prove the existence of $(n, d)^{th}$ f-ideal for $d{\geq}2$ and $n{\geq}d+2$, and we also give some algorithms to construct $(n, d)^{th}$ f-ideals.

On Partitioning and Subtractive Ideals of Ternary Semirings

  • Chaudhari, Jaiprakash Ninu;Ingale, Kunal Julal
    • Kyungpook Mathematical Journal
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    • 제51권1호
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    • pp.69-76
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    • 2011
  • In this paper, we introduce a partitioning ideal of a ternary semiring which is useful to develop the quotient structure of ternary semiring. Indeed we prove : 1) The quotient ternary semiring S/$I_{(Q)}$ is essentially independent of choice of Q. 2) If f : S ${\rightarrow}$ S' is a maximal ternary semiring homomorphism, then S/ker $f_{(Q)}$ ${\cong}$ S'. 3) Every partitioning ideal is subtractive. 4) Let I be a Q-ideal of a ternary semiring S. Then A is a subtractive ideal of S with I ${\subseteq}$ A if and only if A/$I_{(Q{\cap}A)}$ = {q + I : q ${\in}$ Q ${\cap}$ A} is a subtractive idea of S/$I_{(Q)}$.

Operators in L(X,Y) in which K(X,Y) is a semi M-ideal

  • Cho, Chong-Man
    • 대한수학회보
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    • 제29권2호
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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].

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FUZZIFICATIONS OF FOLDNESS OF QUASI-ASSOCIATIVE IDEALS IN BCI-ALGEBRAS

  • Jun, Young-Bae;Kim, Kyung-Ho
    • Journal of applied mathematics & informatics
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    • 제11권1_2호
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    • pp.255-263
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    • 2003
  • Fuzzifications of n-fold quasi-associative ideals are considered. Conditions for a fuzzy ideal to be a fuzzy n-fold quasi-associative ideal are given. Using a collection of n-fold quasi-associative ideals, fuzzy n-fold quasi-associative ideals are constructed. Finally, the extension property for fuzzy n-fold quasi-associative ideals is established.

중년여성의 신체지각과 이상적 연령에 따른 기성복 맞음새 만족도 (Effects of Perceived Body Type and Ideal Age on Satisfaction with Fit of Ready-to-Wear among Middle-aged Woman)

  • 주재은;정찬진;정명선
    • 복식문화연구
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    • 제9권5호
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    • pp.723-733
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    • 2001
  • The purposes of this study were 1) to examine the effects of the difference between actual and perceived body type and body cathexis on satisfaction with fit and 2) to identify the effect of the difference between chronological and ideal age of middle-aged woman on satisfaction with fit of ready-to-wear. For this study, questionnaires were administered to 500 middle-aged woman in Kwangju. Employing 402 respondents, data were analyzed by using $X^2$-test, t-test and Pearson Correlation. The results were as follows; 1) There were significant differences between actual and perceived body types among middle-aged women. Those who were inconsistent with actual and perceived body types had a tendency to perceive themselves to be obeser than actual body. 2) Those who were inconsistent with actual and perceived body types had a lower satisfaction level with apparel fit sites at jacket length, hip width, crotch length and waist width than those who were consistent with actual and perceived body types. 3) Correlation for body cathexis and satisfaction with fit of ready-to-wear was significantly positive. 4) There were significant differences between chronological and ideal ages. 5) Those who were inconsistent with chronological and ideal ages had a lower satisfaction level with apparel fit sites at neckline, shoulder width, bust, sleeve length, sleeve width, Jacket length, waist width, hip width and skirt length than those who were consistent with chronological and ideal ages.

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기대수준 측정방법에 따른 고객만족도 측정에 관한 연구 - SERVQUAL 척도를 중심으로 - (Measuring Expectations in Assessment of Consumer Satisfaction by SERVQUAL)

  • 이선희;최귀선;강명근;조우현
    • 보건행정학회지
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    • 제10권3호
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    • pp.155-168
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    • 2000
  • The SERVQUAL scale is based on the gap theory, which indicates the difference between consumers' expectations and their actual performance. In SERVQUAL scale, the expectations are defined as a "feasible ideal point"(ex, An Excellent hospital has up-to-date equipment). But empirical research identified important problems concerning the conceptual definitions of expectations. They suggests the usage of "desired expectations". Desired expectations are defined as the level at which the consumer predict the service that the organization they visited will perform(ex, $\bigcirc\bigcirc$ hospital has up-to-date equipment). The purpose of this study was to compare the feasible ideal point expectations with desired expectations in assessment of consumer expectations using SERVQUAL scale. We developed two types of questionnaires : (1) to measure feasible ideal point expectations, (2) to measure desired expections. Questionnaire were distributed to ambulatory patients who used the medical service. Total 329 patients participated the hosiptal satisfaction questionnaire(167 for feasible ideal point expectations, 162 for desired expectations). The major finding is as follows: (1) the SERVQUAL scale which was computed by the feasible ideal point showed the higher explanatory power in consumer satisfaction ($R^2$=0.26) than the other identified alternatives(desired expectation, $R^2$=0.11) The results of a study suggests that the feasible ideal point were more conceptually suitable to assess of consumer satisfaction using SERVQUAL scale.SERVQUAL scale.

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