| Summary: | In this paper, different measures of interval-valued pentagonal fuzzy numbers (IVPFN)
associated with assorted membership functions (MF) were explored, considering significant exposure
of multifarious interval-valued fuzzy numbers in neoteric studies. Also, the idea of MF is generalized
somewhat to nonlinear membership functions for viewing the symmetries and asymmetries of the
pentagonal fuzzy structures. Accordingly, the construction of level sets, for each case of linear and
nonlinear MF was also carried out. Besides, defuzzification was undertaken using three methods and
a ranking method, which were also the main features of this framework. The developed intellects
were implemented in a game problem by taking the parameters as PFNs, ultimately resulting in a new
direction for modeling real world problems and to comprehend the uncertainty of the parameters
more precisely in the evaluation process.
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