On Generalised Fuzzy Graph Structures
نویسندگان
چکیده
In this paper, the concept of a fuzzy graph structure is introduced based on the concept of graph structure given by E. Sampathkumar, in Bull. Kerala Math. Assoc., Vol 3, No.2 (2006 December), 65123. New concepts like ρi − edge, ρi − path, ρi − cycle, ρi − tree, ρi − forest, fuzzy ρi − cycle, fuzzy ρi − tree, fuzzy ρi − forest etc. are introduced. Some results are obtained. We continue the study in two other papers which have been communicated. Mathematics Subject Classification: 05C72, 05C05, 05C38, 05C40
منابع مشابه
On Generalised Interval-Valued Fuzzy Soft Sets
Soft set theory, initiated by Molodtsov, can be used as a new mathematical tool for dealing with imprecise, vague, and uncertain problems. In this paper, the concepts of two types of generalised interval-valued fuzzy soft set are proposed and their basic properties are studied. The lattice structures of generalised interval-valued fuzzy soft set are also discussed. Furthermore, an application o...
متن کاملStructural properties of fuzzy graphs
Matroids are important combinatorial structures and connect close-lywith graphs. Matroids and graphs were all generalized to fuzzysetting respectively. This paper tries to study connections betweenfuzzy matroids and fuzzy graphs. For a given fuzzy graph, we firstinduce a sequence of matroids from a sequence of crisp graph, i.e.,cuts of the fuzzy graph. A fuzzy matroid, named graph fuzzy matro...
متن کاملSome results on Bipolar Fuzzy Graph
In this paper, the notion ofgraph operationsdisjunction and symmetric difference on bipolar fuzzy graphs are defined and it is proved that the new graph is a bipolar graph. Furthermore,the new concepts of bipolar fuzzy graphs calledupperstrong and lower strongbipolar fuzzy graphare introduced and some related </...
متن کاملFuzzy Number-Valued Fuzzy Graph
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...
متن کاملApplication of Intuitionistic Neutrosophic Graph Structures in Decision-Making
Fuzzy graph structures being an application of fuzzy sets to graph structures, are profusely applicable in social science and environmental science. A neutrosophic graph structures are more flexible and precise as compared to fuzzy graph structures. They are extensively helpful in decision-making problems. In this paper, we present concept of single-valued intuitionistic neutrosophic graph stru...
متن کامل