# A new method for solving fuzzy integro-differential equation under generalized differentiability

@article{Allahviranloo2011ANM, title={A new method for solving fuzzy integro-differential equation under generalized differentiability}, author={Tofigh Allahviranloo and Saeid Abbasbandy and O. Sedaghatfar and P. Darabi}, journal={Neural Computing and Applications}, year={2011}, volume={21}, pages={191-196} }

In this paper, a new approach for solving fuzzy integro-differential equations (FIDEs) with fuzzy initial value is considered under strongly generalized H-differentiability. Notice the point that this method is used for fuzzy integro-differential equations with trapezoid fuzzy initial value. The idea of the presented approach is constructed based on the extending of 0-cut and 1-cut solutions of original FIDEs. The solution of FIDE will be found by considering convex combination of 0-cut and 1… CONTINUE READING

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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 11 REFERENCES

## ON NEW SOLUTIONS OF FUZZY DIFFERENTIAL EQUATIONS

VIEW 2 EXCERPTS

## Numerical solution of fuzzy differential and integral equations

VIEW 1 EXCERPT

## Fuzzy linear systems

VIEW 1 EXCERPT

## Fuzzy differential equations

VIEW 1 EXCERPT

## Fuzzy Random Variables

VIEW 1 EXCERPT