Novel Fuzzy Topological Descriptors for Characterizing Aromatic Hydrocarbons

Articles in Press

Document Type : Research Paper

Authors
masoud ghods 1
Mehri Hasani 2
1 Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
2 Department of Mathematics, Statistics, and Computer Science, Semnan University, 35131-19111, Iran
10.22075/ijnaa.2026.37395.5442
Abstract
Fuzzy graphs have gained signi cant attention in diverse scienti c elds, including mathematics and chemistry,
owing to their superior accuracy and adaptability compared to conventional models. This study delves into a theoretical
exploration of the fuzzy graph representation of aromatic hydrocarbons, focusing on the computation of several fuzzybased
degree topological indices. Novel de nitions are introduced for the rst Zagreb fuzzy index, Forgotten index,
and Y-index, alongside a generalized formula for fuzzy topological indices of linear and cyclic aromatic hydrocarbons,
incorporating edge degrees. Moreover, a comprehensive formula is derived to calculate speci c topological indices of
hydrocarbons based on the number of benzene rings. This methodology empowers researchers to predict and estimate
compounds' physical and chemical properties by leveraging topological indices and precise calculations of bond lengths
and atomic masses facilitated by computational software.
Keywords
Keywords: Fuzzy graph
Topological indices
Zagreb index
Randic index
Aromatic hydrocarbons
International Journal of Nonlinear Analysis and Applications

Articles in Press, Accepted Manuscript
Available Online from 27 April 2026

  • Receive Date 13 April 2025
  • Accept Date 28 January 2026