A Survey on Domination in Vague Graphs with Application in Transferring Cancer Patients between Countries

Many problems of practical interest can be modeled and solved by using fuzzy graph (FG) algorithms. In general, fuzzy graph theory has a wide range of application in various fields. Since indeterminate information is an essential real-life problem and is often uncertain, modeling these problems based on FG is highly demanding for an expert. A vague graph (VG) can manage the uncertainty relevant to the inconsistent and indeterminate information of all real-world problems in which fuzzy graphs may not succeed in bringing about satisfactory results. Domination in FGs theory is one of the most widely used concepts in various sciences, including psychology, computer sciences, nervous systems, artificial intelligence, decision-making theory, etc. Many research studies today are trying to find other applications for domination in their field of interest. Hence, in this paper, we introduce different kinds of domination sets, such as the edge dominating set (EDS), the total edge dominating set (TEDS), the global dominating set (GDS), and the restrained dominating set (RDS), in product vague graphs (PVGs) and try to represent the properties of each by giving some examples. The relation between independent edge sets (IESs) and edge covering sets (ECSs) are established. Moreover, we derive the necessary and sufficient conditions for an edge dominating set to be minimal and show when a dominance set can be a global dominance set. Finally, we try to explain the relationship between a restrained dominating set and a restrained independent set with an example. Today, we see that there are still diseases that can only be treated in certain countries because they require a long treatment period with special medical devices. One of these diseases is leukemia, which severely affects the immune system and the body’s defenses, making it impossible for the patient to continue living a normal life. Therefore, in this paper, using a dominating set, we try to categorize countries that are in a more favorable position in terms of medical facilities, so that we can transfer the patients to a suitable hospital in the countries better suited in terms of both cost and distance.

The impact of country of origin on context effects in choice

Purpose The purpose of this paper is to examine the effect of country of origin (COO) information as an important/salient categorical attribute on choice context effects. Specifically, this research examines whether the introduction of a unique COO in the choice set will have a differential influence on context effects depending on the relative position of the third option (the asymmetrically dominated option vs the extreme option). Design/methodology/approach Five experiments were conducted in this research. Study 1 had a 2 (set size: two-option core set vs three-option asymmetric dominance set)×2 (competitor’s COO: common vs unique) between-subjects design. Study 2 had a 2 (set size: two-option core set vs three-option extreme option set)×2 (competitor’s COO: common vs unique) between-subjects design. To address the robustness of the effects, Studies 3-5 replicated the results of Studies 1 and 2. The data were analyzed by χ2 tests and logistic regression analyses. Findings The current research demonstrates that the attraction effect is attenuated by the introduction of a unique COO information in the competing option, whereas the tendency to prefer a middle option is not significantly affected. Originality/value The present research adds to the current understanding and the practical relevance of COO effects and context effects in marketing by examining the impact of COO as an important/salient categorical attribute on context effects.