A Novel Surface Fuzzy Analytic Hierarchy Process

Dušan Jordan Simjanović, Nenad Vesić, Jelena Ignjatović, Branislav Ranđelović


This paper aims to upgrade the concept of Spherical Fuzzy Sets considering the hesitancy, its third coordinate, as a function instead of constant. This broads the decision-makers "spectrum" allowing them to describe the fuzzy part of data more comprehensively. As a path distance between two fuzzy sets,
we used geodesic lines in place of great circles, connecting Fuzzy logic with Differential geometry. Also, we proved some algebraic properties for the defined Surface Fuzzy Sets.


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