A new approach for solving flow shop scheduling problems with generalized intuitionistic fuzzy numbers

Article type: Research Article

Authors: Yogashanthi, T. | Mohanaselvi, S. | Ganesan, K.^{; *}

Affiliations: Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Chennai, India

Correspondence: [*] Corresponding author. K. Ganesan, Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Chennai, India. E-mail: ganesank@srmist.edu.in.

Abstract:  In this paper a new centroid based ranking grade for generalized intuitionistic fuzzy numbers is proposed. The centroid point of membership function and non membership function of generalized intuitionistic fuzzy numbers in term of its parametric form is used for grading. The parametric representation of generalized intuitionistic fuzzy numbers involves left fuzziness index, right fuzziness index and modal value of membership and non membership functions. To reveal the performance of the proposed ranking grade, a comparison study has been made over the existing methods. Furthermore the proposed ranking method has been used for estimating the minimum total elapsed time to a flow shop scheduling problem involving generalized intuitionistic fuzzy number. An improved result for flow shop scheduling problem has been attained using the proposed ranking grade and has been illustrated through an example.

Keywords: Fuzzy set, generalized intuitionistic fuzzy numbers, centroid point, ranking grade, flow shop scheduling problem

DOI: 10.3233/JIFS-190395

Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4287-4297, 2019