TOPSIS for Multi Criteria Decision Making in Octagonal Intuitionistic Fuzzy Environment by Using Accuracy Function

Abstract

Multi Criteria Decision Making (MCDM) enables a strong valid platform in domains where choosing the best of the best among various attributes is quite complicated. This paper provides a suitable methodology for solving MCDM problems in Intuitionistic Fuzzy region. In this paper we shall be dealing with the environment of octagonal intuitionistic fuzzy numbers. These numbers are more suitable to deal with uncertainties than other generalized form of fuzzy numbers. There are ways to solve MCDM in IF environment. Many have used ∝-cuts of numbers which are complicated calculations usually ending up with deviation from the results. Despite of solving the problem using ∝-cuts, we propose a new ranking technique in the procedure. This ranking technique is called an accuracy function for octagonal intuitionistic fuzzy numbers. Octagonal Intuitionistic fuzzy numbers are introduced along with its membership and non-membership values. For application, a numerical example is solved at the end of this paper.

Keywords

• Fuzzy Numbers (FN’s)
• Intuitionistic Fuzzy Numbers (IFN’s)
• Octagonal Intuitionistic Fuzzy Number (OIFN’s)
• Accuracy Function (AF)
• TOPSIS

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