Title: A method to solve separable fuzzy nonlinear programming problem

Authors: Debjani Chakraborty; Vishnu Pratap Singh

Addresses: Department of Mathematics, Indian Institute of Technology Kharagpur, India ' Department of Mathematics, Indian Institute of Technology Kharagpur, India

Abstract: This paper formulates piecewise fuzzy linear approximation of fuzzy nonlinear function of a single variable. First, we construct the equation of fuzzy line segment through two fuzzy points using -cuts of two fuzzy points. Now the fuzzy nonlinear function is represented by a set of connected fuzzy line segments. Fuzzy line segments have been defined by partitioning the domain of a fuzzy nonlinear function. Then formulation of approximating fuzzy linear programming problem has been given to find the solution of fuzzy nonlinear separable programming problem. An illustrative example is given to demonstrate the methodology.

Keywords: fuzzy simplex method; fuzzy nonlinear programming problem; fuzzy line segment; separable fuzzy function; L-R type fuzzy number.

DOI: 10.1504/IJOR.2017.084363

International Journal of Operational Research, 2017 Vol.29 No.3, pp.360 - 375

Received: 06 Jul 2015
Accepted: 06 Apr 2016
Published online: 06 Jun 2017 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article