Abstract
In this paper, we discuss different types of fuzzy sequencing problem with Triangular Intuitionistic Fuzzy Number. Algorithm is given for different types of fuzzy sequencing problem to obtain an optimal sequence, minimum total elapsed time and idle time for machines. To illustrate this, numerical examples are provided.
Highlights
Sequencing Problem is the problem of determining an appropriate order for a series of tasks to be performed on a finite number of service facilities so as to minimise the total time taken for finishing all the jobs
Algorithm is given for different types of fuzzy sequencing problem to obtain an optimal sequence, minimum total elapsed time and idle time for machines
We represent these uncertainties in terms of triangular intuitionistic fuzzy number
Summary
Sequencing Problem is the problem of determining an appropriate order for a series of tasks to be performed on a finite number of service facilities so as to minimise the total time taken for finishing all the jobs. In order to handle this uncertainties, we use fuzzy sets which was introduced by Zadeh [2] We represent these uncertainties in terms of triangular intuitionistic fuzzy number. Nagoorgani and Ponnalagu [5] defined a new operation on triangular fuzzy number for solving fuzzy linear programming problem. Radhakrishnan and Saikeerthana [8] solved fuzzy sequencing problem with triangular fuzzy numbers. The rest of this paper is framed as follows: In section 2, basic definitions, arithmetic operations of triangular intuitionistic fuzzy numbers, ranking and score functions are given as preliminaries. A convex set for the membership function i.e., Membership and Non-membership functions of Triangular Intuitionistic Fuzzy number. Intuitionistic Fuzzy Number, we define a Score function for membership and non-
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