Intuitionistic fuzzy graphs ΙFgs  are a generalization of same community which belongs to assets and liabilities fuzzy graphs which provide us with a broader context to address the uncertainty, hesitation, and ambiguity which naturally exists within real-world complex systems, such as social networks, communication systems and biological networks. With the intuitionistic fuzzy model, we can describe partial truths more accurately than we could with classical or fuzzy graphs. A more recent development within this real includes the Lanzhou index, a topological index that characterizes the molecular structure in chemical graph theory more closely than the current derivatives provide. In this paper, we explore the Lanzhou index’s graph operations on  ΙFgs. Similarly, these operations will reflect alterations in a network construction, such as combining systems, generating new links and expanding the network, and the Lanzhou index’s behavior will be illustrative of the relative effect.