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System of Interval Type-2 Fuzzy Polynomials and the Ranking Method

Polynomial equations with triangular fuzzy numbers have attracted the attention of various mathematicians and some methods have been developed for solving these equations. A linear ranking method has been applied to order to solve the polynomial equations with triangular fuzzy numbers. The ranking method concept was proposed to determine the actual roots of a system of fuzzy polynomials (if it exists). In this study, we wish to propose a system of interval type-2 fuzzy polynomials (IT2 FPs). Then, the ranking method concept was used to determine the actual roots for a system of IT2 FPs (if it exists). We transformed the system of IT2 FP to a system of crisp interval type-2 polynomials. This transformation was performed with the ranking method of fuzzy numbers based on three parameters, namely Value (V), Ambiguity (A) and Fuzziness (F). Finally, we illustrated our approach by two illustrative examples.