A NEW DUAL AND SYSTEM FOR INTERVAL TYPE-2 FUZZY PENTAGONAL POLYNOMIALS
DOI:
https://doi.org/10.35631/IJIREV.826024Keywords:
Dual-Systems, Fuzzy Polynomials, Horner-Muller’s Method, Interval Type-2 Fuzzy Numbers, Pentagonal Fuzzy Number, PolynomialsAbstract
Duality plays an important role in representing incomplete information, uncertainty, and imprecision in complex event modelling. In addition, polynomial systems provide a useful mathematical framework for representing uncertainty in real-world problems. This paper proposes a new interval type-2 dual fuzzy pentagonal polynomial and a system of interval type-2 fuzzy pentagonal polynomials. The proposed formulations integrate the characteristics of interval type-2 fuzzy sets with pentagonal fuzzy numbers in dual polynomial equations and polynomial systems. An iterative Horner–Muller method is then applied to the proposed interval type-2 fuzzy pentagonal polynomial formulations to obtain approximate solutions. The computational procedures for both the dual polynomial equation and the polynomial system are demonstrated through numerical examples. The results illustrate the implementation of the proposed approach for solving interval type-2 dual fuzzy pentagonal polynomial equations and systems of interval type-2 fuzzy pentagonal polynomial equations.
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