Spherical Fuzzy Numbers and Multi-criteria Decision-Making
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In this work, spherical fuzzy numbers that are generalization of the fuzzy numbers and intuitionistic fuzzy numbers are defined. Then, two special forms of spherical fuzzy numbers called spherical trapezoidal fuzzy numbers (STF-numbers) and spherical triangular fuzzy numbers (STrF-numbers) are defined with laws of their operations and their properties. Also, a distance measure and some arithmetic and geometric operators on both the STF-numbers and STrF-numbers are developed. Finally, by using the STF-numbers and STrF-numbers, two multi-criteria decision making methods are developed and two examples are given to illustrate the proposed methods. © 2021, Springer Nature Switzerland AG.