Fuzzy topological indices are getting attention these days due to their vast applications in daily life. In crisp case, topological indices are beneficial in chemical graph theory but as far as fuzzy graph theory is concerned, fuzzy topological indices are useful in identifying human trafficking, and multi-criteria decision-making environments. In this paper, we have computed the fuzzy topological indices such as the first and second fuzzy Zagreb indices, Randic index, and Harmonic index for the $P{z}_n$ pizza graph. We have found generalized results for the above-mentioned structure.

In this work, we will examine the concept of intuitionistic fuzzy $k$-ideals in the context of right $k$-weakly regular hemirings. We will investigate the properties of these ideals and how they relate to other concepts such as fuzzy prime $k$-ideals, intuitionistic fuzzy prime $k$-ideals, intuitionistic fuzzy right pure $k$-ideals, and purely prime intuitionistic fuzzy $k$-ideals in hemirings. We will also explore how the regularity of a $k$-weakly regular hemiring can be characterized through its intuitionistic fuzzy $k$-ideals.