Solving intuitionistic fuzzy linear programming problems by ranking function

Abstract

Ranking fuzzy numbers plays a very important role in the decision process, data analysis and applications. The concept of an intuitionistic fuzzy number (IFN) is of importance for quantifying an ill-known quantity, and the ranking of IFNs is a very difficult problem. In this paper ranking of triangular intuitionistic fuzzy numbers (TIFNs) is made by means of magnitude and applied to solve intuitionistic fuzzy linear programming problem. Numerical examples are examined to demonstrate the implementation of ranking method.

Solution of intuitionistic fuzzy linear programming problem by dual simplex algorithm and sensitivity analysis

“…Parvathi and Malathi 14 also have introduced symmetric trapezoidal IFN and solved IFLPP. Suresh et al 15 have proposed magnitude based ranking of TIFNs to solve IFLPP.…”

Extension of Duality Results and a Dual Simplex Method for Linear Programming Problems With Intuitionistic Fuzzy Variables

“…In this section, we introduce some preliminaries and notions including IFSs and TIFNs which are applied throughout this paper. For more details, we refer to [19,30,40,[42][43][44][45].…”

“…Definition 2.3: [19] Assume thatà I = {(a μ , a,ā μ ; wà I ), (a v , a,ā v ; uà I )} is a TIFN. We define magnitude as follows:…”

“…More recently, Atalik and Senturk [18] proposed a new approach using the gergonne point to rank Triangular Intuitionistic Fuzzy Numbers (TIFNs). Suresh et al [19] introduced the ranking of TIFNs by means of magnitude and solved the intuitionistic FLP problems using this ranking. There are many other methods for ranking IFNs, that we refer to [20][21][22][23][24][25].…”

“…Then, for solving these problems, we develop the dual simplex method for IFVLP problems that directly uses the primal simplex table. In this case, we utilise the ranking function that already introduced in [19].…”