Optimal Solution of Fuzzy Nonlinear Programming Problems with Linear Constraints

نویسندگان

  • Sanjaya Kumar Behera
  • Jyoti Ranjan Nayak
  • Jagdeep Kaur
چکیده

The nonlinear relationships between the objective function and the decision variables, the constraints and the parameters introduce varieties of complexities in optimization models .Last century was an era of development in the field of Nonlinear modeling of real life problems. Imprecision in every aspect of nature and human life compelled to see these models through a system called the fuzzy systems. Here in this paper a new method is proposed to find optimal solution to fuzzy nonlinear programming problems. Several authors have proposed algorithms those include linear programming problems with linear constraints. The proposed method stands on the previous works available in the literature and is verified through numerical examples.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Compromise Decision-Making Model Based on TOPSIS and VIKOR for Multi-Objective Large- Scale Nonlinear Programming Problems with A Block Angular Structure under Fuzzy Environment

This paper proposes a compromise model, based on a new method, to solve the multiobjectivelarge scale linear programming (MOLSLP) problems with block angular structureinvolving fuzzy parameters. The problem involves fuzzy parameters in the objectivefunctions and constraints. In this compromise programming method, two concepts areconsidered simultaneously. First of them is that the optimal alter...

متن کامل

FUZZY GOAL PROGRAMMING TECHNIQUE TO SOLVE MULTIOBJECTIVE TRANSPORTATION PROBLEMS WITH SOME NON-LINEAR MEMBERSHIP FUNCTIONS

The linear multiobjective transportation problem is a special type of vector minimum problem in which constraints are all equality type and the objectives are conicting in nature. This paper presents an application of fuzzy goal programming to the linear multiobjective transportation problem. In this paper, we use a special type of nonlinear (hyperbolic and exponential) membership functions to ...

متن کامل

A revisit of a mathematical model for solving fully fuzzy linear programming problem with trapezoidal fuzzy numbers

In this paper fully fuzzy linear programming (FFLP) problem with both equality and inequality constraints is considered where all the parameters and decision variables are represented by non-negative trapezoidal fuzzy numbers. According to the current approach, the FFLP problem with equality constraints first is converted into a multi–objective linear programming (MOLP) problem with crisp const...

متن کامل

Linear plus fractional multiobjective programming problem with homogeneous constraints using fuzzy approach

  We develop an algorithm for the solution of multiobjective linear plus fractional programming problem (MOL+FPP) when some of the constraints are homogeneous in nature. Using homogeneous constraints, first we construct a transformation matrix T which transforms the given problem into another MOL+FPP with fewer constraints. Then, a relationship between these two problems, ensuring that the solu...

متن کامل

A new method for solving fully fuzzy linear Bilevel programming problems

In this paper, a new method is proposed to find the fuzzy optimal solution of fully fuzzy linear Bilevel programming (FFLBLP) problems by representing all the parameters as triangular fuzzy numbers. In the proposed method, the given FFLBLP problem is decomposed into three crisp linear programming (CLP) problems with bounded variables constraints, the three CLP problems are solved separately...

متن کامل

Solving fully fuzzy linear programming

In this paper, a new method is proposed to find the fuzzy optimal solution of fully fuzzy linear programming (abbreviated to FFLP) problems. Also, we employ linear programming (LP) with equality constraints to find a nonegative fuzzy number vector x which satisfies Ax =b, where A is a fuzzy number matrix. Then we investigate the existence of a positive solution of fully fuzzy linear system (FFLS).

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2012