Although many methods exist for intensity modulated radiotherapy (IMRT) fluence map optimization for crisp data, based on clinical practice, some of the involved parameters are fuzzy. In this paper, the best fluence maps for an IMRT procedure were identifed as a solution of an optimization problem with a quadratic objective function, where the prescribed target dose vector was fuzzy. First, a d...

The main aim of this paper intends to discuss the solution of general dual fuzzy linear system (GDFLS) C BX F AX + = + where A , B are real n m× matrix , F and C are fuzzy vectors, and the unknown vector X is a vector consisting of n fuzzy numbers, by a special algorithm based on a class of ABS algorithms called Huang algorithm. In special case, we apply the proposed algorithm for the solution ...

In this paper, we propose the least-squares method for computing the positive solution of a m × n fully fuzzy linear system (FFLS) of equations, where m > n, based on Kaffman’s arithmetic operations on fuzzy numbers that introduced in [18]. First, we consider all elements of coefficient matrix are non-negative or non-positive. Also, we obtain 1-cut of the fuzzy number vector solution of the non...

in this paper the solution of a second order linear dierential equations with intu-itionistic fuzzy boundary value is described. it is discussed for two dierent cases: coecientis positive crisp number and coecient is negative crisp number. here fuzzy numbers aretaken as generalized trapezoidal intutionistic fuzzy numbers (gtrifns). further a numericalexample is illustrated.

The aim of this article is to study the concept of unique solvability of max-min fuzzy neutrosophic soft matrix equation and strong regularity of fuzzy neutrosophic soft matrices over Fuzzy Neutrosophic Soft Algebra (FNSA). A Fuzzy Neutrosophic Soft Matrix (FNSM) is said to have Strong, Linear Independent (SLI) column (or, in the case of fuzzy neutrosophic soft square matrices, to be strongly r...

A perennial problem in vector overlay is fuzzy creep. Commercial vector overlay algorithms resolve near intersections of lines employing arbitrary node movement to align two chains at nodes selected randomly in the area of an epsilon band. While this solution is effective in reducing the number of sliver polygons, it introduces distortion. In some situations this distortion may be tolerable, bu...

in this paper a linear fuzzy fredholm integral equation(ffie) with arbitrary fuzzy function input and symmetric triangular (fuzzy interval) output is considered. for each variable, output is the nearest triangular fuzzy number (fuzzy interval) to the exact fuzzy solution of (ffie).

This paper deals with a novel semi-automatic segmentation method giving realistic results on head and neck tumors. To the classical “inside” and “outside”, we add a fuzzy area with a tumor probability between 0 and 1 which represents the area where even specialists do not have an unique solution. We describe here the technique and its results, then we will discuss about the marker number diminu...

A class of splitting iterative methods are considered for solving fuzzy system of linear equations, which covers Jacobi, Gauss Seidel, SOR, SSOR and their block variance proposed. Theoretical analysis showed that for a regular splitting, the corresponding iterative method converge to the unique fuzzy solution for any initial vector and fuzzy right hand side vector. Finally, we illustrate our ap...