• Kyungpook Mathematical Journal
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• 제47권2호
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• pp.227-237
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• 2007

We define weak distributive $n$-semilattices and $n$-lattices, using variants of the absorption law and those of the distributive law. From a weak distributive $n$-semilattice, we construct direct system of subalgebras which are weak distributive $n$-lattices and show that its direct limit is a reflection of the category $wDn$-SLatt of the weak distributive $n$-semilattices.

• 한국컴퓨터정보학회논문지
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• 제16권11호
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• pp.233-244
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• 2011

현 OLAP 체제에서는 모든 계층구조 스키마가 분배적으로 되는 경우에만 제대로 구현되며, 실세계에서 생길 수 있는 여러 비분배적 계층구조 스키마의 경우는 구현 불가능하다. 이전 연구에서는 집성에 있어서 현실적으로 발생 할 수 있는 모든 계층구조 스키마를 하나의 분배적 계층구조와 일곱 개의 비분배적 계층구조 스키마로 분류한 바있다. 본 연구에서는 이러한 일곱 개의 비분배적 계층구조 스키마를 분배적 계층구조 스키마로 변환시키는 기법을 제안하고 있다. 우선적으로 복잡한 비분배적 계층구조 스키마를 더 단순한 계층구조 스키마로 분할시킨 다음, 이를 분배적 계층구조 스키마로 변환시키는 것이 이 기법의 특징이다. 따라서 이 기법은실세계에서 일어날 수 있는복잡한 계층구조 스키마를 현 OLAP 체제에서 구현 가능하게끔 해준다고 볼 수 있다. 본 연구에서 제안하는 방법은 구현의 관점과 스키마 설계의 관점에서 볼 때에 유용한 방법이 되리라 생각한다.

• East Asian mathematical journal
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• 제19권1호
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• pp.41-48
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• 2003

There are many conditions or identities for a lattice to be distributive. In this paper, we study some identities on algebras of type (2,2) and find another set of identities defining distributive lattices. We also study certain identities which define algebras of type (2,2) whose subalgebras generated by two elements are all distributive lattices with at most 4 elements.

• Korean Journal of Mathematics
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• 제30권1호
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• pp.11-23
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• 2022

In this paper, the concept of pseudo - complementation on a generalized almost distributive fuzzy lattices (GADFLs) is introduced as a fuzzification of the crisp concept pseudo - complementation on a generalized almost distributive lattices. It is also established a one - to - one correspondence between the pseudo - complemented GADFL (R, A), R with 0 and the left identity element of R.

• 대한수학회보
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• 제55권1호
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• pp.81-105
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• 2018

In this paper we give two characterisations of the class of reflexive graphs admitting distributive lattice polymorphisms and use these characterisations to address the problem of recognition: we find a polynomial time algorithm to decide if a given reflexive graph G, in which no two vertices have the same neighbourhood, admits a distributive lattice polymorphism.

• Korean Journal of Mathematics
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• 제27권2호
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• pp.425-435
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• 2019

The notion of multiplier for an almost distributive lattice is introduced, and some related properties are investigated. Moreover, we introduce a congruence relation ${\phi}_{\alpha}$ induced by ${\alpha}{\in}L$ on an almost distributive lattice and derive some useful properties of ${\phi}_{\alpha}$.

• The Journal of Asian Finance, Economics and Business
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• 제8권1호
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• pp.375-383
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• 2021

The justice issue in the service recovery process has become an interesting topic especially in rural banks in Indonesia. There are two types of justice issues in handling the complaint process; distributive and informational. This study aims to analyze the effect of distributive and informational justice on complaint handling satisfaction. This study also examines the mediating role of positive and negative emotions on the effect of justice in post-merger rural banks. This research employs a survey by distributing a questionnaire to 238 customers who have complained to one of the post-merger rural banks in West Java and Yogyakarta. This study uses the structural equation modelling (SEM) method by WarpPLS software. The results reveal that distributive and informational justice have a positive effect on positive and negative emotions, while informational justice does not affect positive and negative emotions. Distributive and informational justice directly affect satisfaction over complaint handling. On the other hand, positive and negative emotions affect satisfaction over complaint handling. The findings of this study suggest that positive emotion also mediates the distributive justice effect on satisfaction over complaint. Lastly, positive and negative emotions do not mediate the informational justice effect on satisfaction over complaint handling at post-merger rural banks in West Java and Yogyakarta, Indonesia.

• Journal of applied mathematics & informatics
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• 제37권5_6호
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• pp.383-397
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• 2019

In this paper, we introduce ${\delta}$-fuzzy ideals in a pseudo complemented distributive lattice in terms of fuzzy filters. It is proved that the set of all ${\delta}$-fuzzy ideals forms a complete distributive lattice. The set of equivalent conditions are given for the class of all ${\delta}$-fuzzy ideals to be a sub-lattice of the fuzzy ideals of L. Moreover, ${\delta}$-fuzzy ideals are characterized in terms of fuzzy congruences.

• Asia pacific journal of information systems
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• 제23권2호
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• pp.1-20
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• 2013

Social commerce has been gaining explosive popularity, with typical examples of the model such as Groupon and Level Up. Both local business owners and consumers can benefit from this new e-commerce model. Local business owners have a chance to access potential customers and promote their products in a way that could not have otherwise been easily possible, and consumers can enjoy discounted offerings. However, questions have been increasingly raised about the value and future of the social commerce model. A recent survey shows that about a third of 324 business owners who ran a daily-deal promotion in Groupon went behind. Furthermore, more than half of the surveyed merchants did not express enthusiasm about running the promotion again. The same goes for the case in Korea, where more than half of the surveyed clients reported no significant change or even decrease in profits compared to before the use of social commerce model. Why do local business owners fail to exploit the benefits from the promotions and advertisements through the social commerce model and to make profits? Without answering this question, the model would fall under suspicion and even its sustainability might be challenged. This study aims to look into problems in the current social commerce transactions and provide implications for the social commerce model, so that the model would get a foothold for next growth. Drawing on justice theory, this study develops theoretical arguments for the effects of transaction characteristics on consumers' distributive justice and purchase intention in the social commerce. Specifically, this study focuses on two characteristics of social commerce transactions-the discount rate and the purchase rate of products-and investigates their effects on consumers' perception of distributive justice for discounted transactions in the social commerce and their perception of distributive justice for regular-priced transactions. This study also examines the relationship between distributive justice and purchase intention. We conducted an online experiment and gathered data from 115 participants to test the hypotheses. Each participant was randomly assigned to one of nine manipulated scenarios of social commerce transactions, which were generated based on the combination of three levels of purchase rate (high, medium, and low) and three levels of discount rate (high, medium, and low). We conducted MANOVA and post-hoc ANOVA to test hypotheses about the relationships between the transaction characteristics (purchase rate and discount rate) and distributive justice for each of the discounted transaction and the regular-priced transaction. We also employed a PLS analysis to test relations between distributive justice and purchase intentions. Analysis results show that a higher discount rate increases distributive justice for the discounted transaction but decreases distributive justice for the regular-priced transaction. This, coupled with the result that distributive justice for each type of transaction has a positive effect on the corresponding purchase intention, implies that a large discount in the social commerce may be helpful for attracting consumers, but harmful to the business after the promotion. However, further examination reveals curvilinear effects of the discount rate on both types of distributive justice. Specifically, we find distributive justice for the discounted transaction increases concavely as the discount rate increases while distributive justice for the regular-priced transaction decreases concavely with the dscount rate. This implies that there exists an appropriate discount rate which could promote the discounted transaction while not hurting future business of regular-priced transactions. Next, the purchase rate is found to be a critical factor that facilitates the regular-priced transaction. It has a convexly positive influence on distributive justice for the transaction. Therefore, an increase of the rate beyond some threshold would lead to a substantial level of distributive justice for the regular-priced transaction, threrby boosting future transactions. This implies that social commerce firms and sellers should employ various non-price stimuli to promote the purchase rate. Finally, we find no significant relationship between the purchase rate and distributive justice for the discounted transaction. Based on the above results, we provide several implications with future research directions.

• Korean Journal of Mathematics
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• 제24권3호
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• pp.525-535
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• 2016

We define a fuzzy lattice as a fuzzy relation, prove the distributive inequalities and the modular inequality of fuzzy lattices, and show that the fuzzy totally ordered set is a distributive fuzzy lattice and that the distributive fuzzy lattice is modular.