Optimal Solution of Fuzzy Transshipment Problem Using Generalized Hexagonal Fuzzy Numbers

Fuzzy Optimal Solution for Fully Fuzzy Linear Programming Problems Using Hexagonal Fuzzy Numbers

Abstract. The fuzzy set theory has been applied in many fields such as management, engineering and almost in every business enterprise as well as day to day activities. In this paper fully fuzzy linear programming problems with hexagonal fuzzy numbers were discussed. A new approach for solving fully fuzzy linear programming problems (FFLPP) is proposed, based upon the new Ranking function, whic...

On generalized fuzzy numbers

This paper first improves Chen and Hsieh’s definition of generalized fuzzy numbers, which makes it the generalization of definition of fuzzy numbers. Secondly, in terms of the generalized fuzzy numbers set, we introduce two different kinds of orders and arithmetic operations and metrics based on the λ-cutting sets or generalized λ-cutting sets, so that the generalized fuzzy numbers are integrat...

Addition two generalized fuzzy numbers

Fuzzy Optimal Solution to Fuzzy Transportation Problem: A New Approach

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...

Solving Fuzzy Transportation Problem using Ranking of Trapezoidal Fuzzy Numbers

Ranking fuzzy numbers play a vital role in decision making problems, data analysis and socio economics systems. Ranking fuzzy numbers is a necessary step in many mathematical models. Many of the methods proposed so far are non-discriminating. This paper presents a new ranking method and using which we convert the fuzzy transportation problem to a crisp valuedtransportation problem which then ca...