Multi-objective optimization problem of system reliability under intuitionistic fuzzy set environment using Cuckoo Search algorithm

Article type: Research Article

Authors: Garg, Harish^*

Affiliations: School of Mathematics, Thapar University Patiala, Punjab, India

Correspondence: [] Corresponding author. H. Garg, School of Mathematics, Thapar University Patiala, Punjab, India. Tel.: +918699031147; E-mail: [email protected].

Abstract: In designing phase of systems, design parameters such as component reliabilities and cost are normally under uncertainties. Although there have been tremendous advances in the art and science of system evaluation, yet it is very difficult to assess these parameters with a very high accuracy or precision. Therefore, to handle this issue, this paper presents an alternative approach for solving the multi-objective reliability optimization problem by utilizing the uncertain, vague and imprecise data. For this a conflicting nature between the objectives is resolved with the help of intuitionistic fuzzy programming technique by considering the nonlinear degree of membership and non-membership functions. The resultant fuzzy multi-objective optimization problem is converted into single-objective optimization problem using the satisfaction functions with exponential weights. The optimal solution of the corresponding problem has been obtained with the cuckoo search algorithm. Finally, a numerical instance is presented to show the performance of the proposed approach.

Keywords: Intuitionistic fuzzy optimization, cuckoo search, reliability optimization, membership functions

DOI: 10.3233/IFS-151644

Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 4, pp. 1653-1669, 2015