Intuitionistic fuzzy non linear programming problem: Modeling and optimization in manufacturing systems

Article type: Research Article

Authors: Singh, Sujeet Kumar | Yadav, Shiv Prasad

Affiliations: Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India

Note: [] Corresponding author. Sujeet kumar singh, Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India. Tel.: +91 7417247162; E-mail: sksinghma209@gmail.com

Abstract: This paper develops an approach for solving non-linear programming problem in intuitionistic fuzzy environment. Since, fuzziness may occur in some or all parameters of a system, we discuss both situations in this study. We transform the intuitionistic fuzzy model into a fuzzy model using the concept of component wise optimization. We propose a non-linear membership function and utilize it to convert the fuzzy model into a crisp model. For application, we consider some manufacturing systems having some or all intuitionistic fuzzy parameters. After modeling these systems, we apply our methodology for justification.

Keywords: Triangular intuitionistic fuzzy number, intuitionistic fuzzy non-linear programming problem, membership function

DOI: 10.3233/IFS-141427

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 3, pp. 1421-1433, 2015