Abstract. A new method namely, parallel moving method is proposed to find an optimal solution to the fuzzy assignment problem considered in Lin and Wen [13]. We derive two theorems; one is related to an optimal solution to the fuzzy assignment problem and another is related to find an improved solution from the current solution to the fuzzy assignment problem. The parallel moving method provide...

Polyfluoro-substituted unsymmetrical biaryl ethers were synthesized via a novel Ni-catalyzed cross-coupling reaction of polyfluoroarenes with arylboronic acids and oxygen. The polyfluorinated arenes presumably captured the phenoxide intermediate efficiently, which made the oxygen-insertion proceed smoothly via the S(N)Ar protocol. The (18)O labeling experiment demonstrated that the oxygen intro...

Microwave dielectric heating proved to be an efficient method for the one-pot and stepwise syntheses of symmetrical and unsymmetrical naphthalenediimide derivatives of alpha-amino acids. Acid-labile side chain protecting groups are stable under the reaction conditions; protection of the alpha-carboxylic group is not required. The stepwise condensation of different amino acids resulted in high y...

In this paper, the fuzzy linear programming formulation of fuzzy maximal flow problems are proposed and on the basis of the proposed formulation a method is proposed to find the fuzzy optimal solution of fuzzy maximal flow problems. In the proposed method all the parameters are represented by triangular fuzzy numbers. By using the proposed method the fuzzy optimal solution of fuzzy maximal flow...

In this paper, we have proposed an algorithm to solve bi-level linear programming problems with fuzzy parameters without converting it to crisp equivalent problem and obtained a fuzzy compromise solution. Since the decision variables and objective functions are represented as fuzzy membership functions, the proposed fuzzy compromise solution will be more practical and reasonable. A numerical ex...

An approach is presented to solve a fuzzy transportation problem with linear fractional fuzzy objective function. In this proposed approach the fractional fuzzy transportation problem is decomposed into two linear fuzzy transportation problems. The optimal solution of the two linear fuzzy transportations is solved by dual simplex method and the optimal solution of the fractional fuzzy transport...

This paper is intended to propose a method to replace the original fuzzy linear system by two crisp linear systems. And then, the method is implemented by GMRES. If a fuzzy nonsingular linear system has a fuzzy solution, our method is able to obtain the solution. Otherwise, our method can only find a weak fuzzy solution. At last, some large scale numerical tests are presented.

To the best of our knowledge, till now there is no method in the literature to find the fuzzy optimal solution of unbalanced fully fuzzy minimal cost flow (FFMCF) problems. In this paper, a new method is proposed to find the fuzzy optimal solution of these problems. The proposed method is illustrated with the help of a numerical example. Also, the proposed method is used to find the fuzzy optim...

In this paper we propose a new algorithm for the initial fuzzy feasible solution to a fully fuzzy transportation problem. Then by using fuzzy version of modified distribution method, we obtain the fuzzy optimal solution for the fully fuzzy transportation problem without converting to a classical transportation problem. A numerical example is provided to illustrate the proposed algorithm. It can...

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).