Determination of various factors to evaluate a successful curriculum design using interval-valued Pythagorean neutrosophic graphs

Graph theory is a developing field which has many advancements and developments in real-life applications. Although graph theory has rapid growth in modeling real-life issues, some vague details in real-life problems are hard to picture using the usual graph. Fuzzy graph theory is known for its applications in modeling the human thinking, which has the same structure as graph theory. The concept of fuzzy graphs extended to Pythagorean fuzzy sets depends on real-time situations. The purpose of interval-valued Pythagorean neutrosophic sets through which the values of the degree (membership, non-membership and neutral) can be taken from the intervals instead of the numbers so that it provides more adequate information about the uncertainty than traditional sets. This motivates us to introduce interval-valued Pythagorean neutrosophic sets in applications. The proposed investigation also leads to study the interval-valued Pythagorean neutrosophic graphs (IVPNGs) and their arithmetic operations. In addition, the concept of regular, strong, product, support strong, effective balanced IVPNGs are introduced for aggregating the IVPNGs information and analysed with suitable examples. Further, a methodology for successful curriculum design is examined to illuminate the adequacy and feasibility of the developed IVPNG.