  In this paper, we give the concept of Globular T-Spherical Fuzzy (G-TSF) Sets
(G-TSFSs) as an innovative extension of T-Spherical Fuzzy Sets (TSFSs) and
Circular Spherical Fuzzy Sets (C-SFSs). G-TSFSs represent membership,
indeterminacy, and non-membership degrees using a globular/sphere bound that
can offer a more accurate portrayal of vague, ambiguous, and imprecise
information. By employing a structured representation of data points on a
sphere with a specific center and radius, this model enhances decision-making
processes by enabling a more comprehensive evaluation of objects within a
flexible region. Following the newly defined G-TSFSs, we establish some basic
set operations and introduce fundamental algebraic operations for G-TSF Values
(G-TSFVs). These operations expand the evaluative capabilities of
decision-makers, facilitating more sensitive decision-making processes in a
broader region. To quantify a similarity measure (SM) between GTSFVs, the SM is
defined based on the radius of G-TSFSs. Additionally, Hamming distance and
Euclidean distance are introduced for G-TSFSs. We also present theorems and
examples to elucidate computational mechanisms. Furthermore, we give the G-TSF
Weighted Average (G-TSFWA) and G-TSF Weighted Geometric (G-TSFWG) operators.
Leveraging our proposed SM, a Multi-Criteria Group Decision-Making (MCGDM)
scheme for G-TSFSs, named G-TSF MCGDM (G-TSFMCGDM), is developed to address
group decision-making problems. The applicability and effectiveness of the
proposed G-TSFMCGDM method are demonstrated by applying it to solve the
selection problem of the best venue for professional development training
sessions in a firm. The analysis results affirm the suitability and utility of
the proposed method for resolving MCGDM problems, establishing its
effectiveness in practical decision-making scenarios.
