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A method to solve separable fuzzy nonlinear programming problem

Debjani Chakraborty and Vishnu Pratap Singh

International Journal of Operational Research, 2017, vol. 29, issue 3, 360-375

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. (search for similar items in EconPapers)
Date: 2017
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