The notion of strong arcs in a fuzzy graph was introduced byBhutani and Rosenfeld in [1] and fuzzy end nodes in the subsequent paper[2] using the concept of strong arcs. In Mordeson and Yao [7], the notion of“degrees” for concepts fuzzified from graph theory were defined and studied.In this note, we discuss degrees for fuzzy end nodes and study further someproperties of fuzzy end nodes and fuzz...

In mathematical chemistry, a particular attention is given to degree-based graph invariant. The Zagrebpolynomial is one of the degree based polynomials considered in chemical graph theory. A dendrimer isan artificially manufactured or synthesized molecule built up from branched units called monomers. Inthis note, the first, second and third Zagreb poly...

that appears in many applications (see [AC], [F].) In [C1],[C2],[C3], the author introduced the notion of “viscosity” solution to (1.1), and developed the theory of existence and regularity of viscosity free boundaries. In particular, the regularity theory is inspired by the regularity theory for minimal surfaces, precisely by the “oscillation decay” method of De Giorgi, according to which if S...

Graph theory has an important role in the area of applications of networks and clustering‎. ‎In the case of dealing with uncertain data‎, ‎we must utilize ambiguous data such as fuzzy value‎, ‎fuzzy interval value or values of fuzzy number‎. ‎In this study‎, ‎values of fuzzy number were used‎. ‎Initially‎, ‎we utilized the fuzzy number value fuzzy relation and then proposed fuzzy number-value f...

OBJECTIVE The purpose of this research was to test the clinical use of the gerotranscendence (GT) theory and its influence on GT perspective, depression, and life satisfaction among a group of institutionalized elders. METHODS An experimental study utilizing pre-post group design and random assignment of elders into intervention and control group was conducted. The intervention support group ...