Open Access Open Access  Restricted Access Subscription or Fee Access

New Artificial Intelligence Approach for Solving Fuzzy Polynomial Equations

Ahmad Jafarian


Recently, there has been a considerable amount of interest and practice in solving many problems of several applied fields by fuzzy polynomials. In this paper, we intend to offer a new method for finding a solution of fully fuzzy polynomial with degree n, by using an artificial fuzzified feed-forward neural network. This neural net has the ability to get fuzzy vector as an input, and calculates its corresponding fuzzy output. It is clear that the input-output
relation for each unit of fuzzy neural network is defined by the extension principle of Zadeh. In this work, a cost function is also defined for the level sets of fuzzy output and fuzzy target. Then we derive a learning algorithm from the cost function for adjusting three parameters of each triangular fuzzy weight. Consequently, our approach is illustrated by computer simulations on numerical examples. It is worthwhile to mention that, the application of this
method in fluid mechanics has been shown by an example.


Fuzzy polynomials, Fuzzy feed-forward neural networks, Learning algorithm, Cost function, Fuzzy solution.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.