Intuitionistic Fuzzy Planar Graphs
Copyright policy )Intuitionistic Fuzzy Planar Graphs
Graph theory has numerous applications in modern sciences and technology. Atanassov introduced the concept of intuitionistic fuzzy sets as a generalization of fuzzy sets. Intuitionistic fuzzy set has shown advantages in handling vagueness and uncertainty compared to fuzzy set. In this paper, we apply the concept of intuitionistic fuzzy sets to multigraphs, planar graphs, and dual graphs. We introduce the notions of intuitionistic fuzzy multigraphs, intuitionistic fuzzy planar graphs, and intuitionistic fuzzy dual graphs and investigate some of their interesting properties. We also study isomorphism between intuitionistic fuzzy planar graphs.
- University of the Punjab Pakistan
- King Abdulaziz University Saudi Arabia
Statistics and Probability, Intuitionistic Fuzzy Sets, Artificial intelligence, Generalization, Social Sciences, Fuzzy Differential Equations and Uncertainty Modeling, Multi-Criteria Decision Making, Management Science and Operations Research, Fractional graph theory, fuzzy graph theory, Enhancing E-Learning with Intelligent Agents and Analytics, Mathematical analysis, Graph, Planar graphs; geometric and topological aspects of graph theory, Decision Sciences, Planar graph, Isomorphism (crystallography), Fuzzy Logic, Artificial Intelligence, Fuzzy set operations, QA1-939, FOS: Mathematics, Fuzzy number, Crystallography, Crystal structure, Discrete mathematics, Computer science, Fuzzy logic, Chemistry, Fuzzy Sets, Vagueness, Combinatorics, Computer Science, Physical Sciences, Fuzzy set, Mathematics
Statistics and Probability, Intuitionistic Fuzzy Sets, Artificial intelligence, Generalization, Social Sciences, Fuzzy Differential Equations and Uncertainty Modeling, Multi-Criteria Decision Making, Management Science and Operations Research, Fractional graph theory, fuzzy graph theory, Enhancing E-Learning with Intelligent Agents and Analytics, Mathematical analysis, Graph, Planar graphs; geometric and topological aspects of graph theory, Decision Sciences, Planar graph, Isomorphism (crystallography), Fuzzy Logic, Artificial Intelligence, Fuzzy set operations, QA1-939, FOS: Mathematics, Fuzzy number, Crystallography, Crystal structure, Discrete mathematics, Computer science, Fuzzy logic, Chemistry, Fuzzy Sets, Vagueness, Combinatorics, Computer Science, Physical Sciences, Fuzzy set, Mathematics
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