Balance Spherical Interval Valued Fuzzy Graphs

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DOI: https://doi.org/10.28924/2291-8639-24-2026-278
Published: Sep 2, 2026
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Thiti Gaketem, Tanaphong Prommai, Patcharapan Jumnongnit, Balance Spherical Interval Valued Fuzzy Graphs, Int. J. Anal. Appl., 24 (2026), 278.

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Thiti Gaketem, Tanaphong Prommai, Patcharapan Jumnongnit

Abstract

Spherical interval-valued fuzzy graphs (SIvFGs) represent a further advancement of the original concept of spherical fuzzy graphs (SFGs). Within this framework, the balanced spherical fuzzy graph forms a distinct subclass that highlights equilibrium in structural relationships. In this study, we introduce the concept of balanced spherical interval-valued fuzzy graphs based on density functions and investigate their fundamental properties and examine their key properties. We also establish a set of comprehensive criteria for determining whether a given SIvFG is balanced. Furthermore, an analytical approach is developed to determine whether an SIvFG is balanced. Overall, this work illustrates how balanced spherical interval-valued fuzzy graphs can effectively model and interpret the interconnections among neighboring nations.

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