Algorithms for solving the optimization problems using fuzzy and intuitionistic fuzzy set

Fuzzy Primal Simplex Algorithms for Solving Fuzzy Linear Programming Problems

Solving fuzzy optimization problems by evolutionary algorithms

In this paper mathematical programming problems with fuzzy constraints are dealt with. Fuzzy solutions are obtained by means of a parametric approach in conjunction with evolutionary techniques. Some relevant characteristics of the evolutionary algorithm are for instance a real-coded representation of solutions and the preselection scheme as niche formation and elitist technique. Three test pro...

Fuzzy Primal Simplex Algorithms for Solving Fuzzy Linear Programming Problems

Fuzzy set theory has been applied to many fields, such as operations research, control theory, and management sciences. We consider two classes of fuzzy linear programming (FLP) problems: Fuzzy number linear programming and linear programming with trapezoidal fuzzy variables problems. We state our recently established results and develop fuzzy primal simplex algorithms for solving these problem...

A Modified Approach for Solving Intuitionistic Fuzzy Assignment Problems

The Assignment Problem is one of the most studied, well known and important problem in mathematics and is used very often in solving problems of engineering and management sciences. In this problem denotes the cost for assigning the job to the person. This cost is usually deterministic in nature. In this paper has been considered to be generalized trapezoidal intuitionistic fuzzy numbers denote...

An Algorithm for Solving Intuitionistic Fuzzy Linear Bottleneck Assignment Problems

The linear bottleneck assignment problem (LBAP), which is a variation of the classical assignment problem, seeks to minimize the longest completion time rather than the sum of the completion times when a number of jobs are to be assigned to the same number of workers. If the completion times are not certain, then it is said to be a fuzzy LBAP. Here we propose a new algorithm to solve fuzzy LBAP...