• Kyungpook Mathematical Journal
• /
• v.47 no.2
• /
• pp.227-237
• /
• 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.

• Journal of the Korea Society of Computer and Information
• /
• v.16 no.11
• /
• pp.233-244
• /
• 2011

Online analytical processing (OLAP) architecture performs only well on the facts that are summarizable along each dimension, where all hierarchy schemas are distributive, and consequently many kinds of non-distributive hierarchy schemas arising in real-world situations are not addressed by current OLAP implementations. In previous work, we presented the classification of hierarchy schemas in aggregation, including one distributive and seven non-distributive hierarchy schemas. This paper presents a transforming approach of seven non-distributive hierarchy schemas into the distributive hierarchy schema. The first thing in the approach is cutting complex non-distributive hierarchy schemas into more simpler ones, and the next is the transformation of those simpler ones into the distributive hierarchy schema. This approach will let complex hierarchy schemas arising in real world situations be addressed by current OLAP implementations. It is thought that this approach will be useful one from an implementation and schema design point of view.

• East Asian mathematical journal
• /
• v.19 no.1
• /
• pp.41-48
• /
• 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
• /
• v.30 no.1
• /
• pp.11-23
• /
• 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.

• Bulletin of the Korean Mathematical Society
• /
• v.55 no.1
• /
• pp.81-105
• /
• 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
• /
• v.27 no.2
• /
• pp.425-435
• /
• 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
• /
• v.8 no.1
• /
• pp.375-383
• /
• 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
• /
• v.37 no.5_6
• /
• pp.383-397
• /
• 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
• /
• v.23 no.2
• /
• pp.1-20
• /
• 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
• /
• v.24 no.3
• /
• pp.525-535
• /
• 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.