Open AccessA new method for solving interval and fuzzy quadratic equations of dual form
Author(s) -
Kamal Mamehrashi
Publication year - 2021
Publication title -
ukh journal of science and engineering
Language(s) - English
Resource type - Journals
ISSN - 2520-7792
DOI - 10.25079/ukhjse.v5n2y2021.pp81-89
Subject(s) - mathematics , interval (graph theory) , extension (predicate logic) , quadratic equation , dual (grammatical number) , fuzzy logic , quadratic programming , mathematical analysis , mathematical optimization , computer science , combinatorics , geometry , artificial intelligence , art , literature , programming language
In this paper, we present a numerical method for solving a quadratic interval equation in its dual form. The method is based on the generalized procedure of interval extension called” interval extended zero” method. It is shown that the solution of interval quadratic equation based on the proposed method may be naturally treated as a fuzzy number. An important advantage of the proposed method is that it substantially decreases the excess width defect. Several numerical examples are included to demonstrate the applicability and validity of the proposed method.