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

Madiha Imtıaz; Muhammad Saqlaın; Muhammad Saeed

EN

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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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Madiha Imtıaz This is me
Pakistan

Muhammad Saqlaın ^* This is me
Pakistan

Muhammad Saeed This is me
Pakistan

Publication Date

June 30, 2020

Submission Date

November 28, 2019

Acceptance Date

May 31, 2020

Published in Issue

Year 2020 Number: 31

IZ

https://izlik.org/JA24SH92XP

APA

Imtıaz, M., Saqlaın, M., & Saeed, M. (2020). TOPSIS for Multi Criteria Decision Making in Octagonal Intuitionistic Fuzzy Environment by Using Accuracy Function. Journal of New Theory, 31, 32-40. https://izlik.org/JA24SH92XP

AMA

1.Imtıaz M, Saqlaın M, Saeed M. TOPSIS for Multi Criteria Decision Making in Octagonal Intuitionistic Fuzzy Environment by Using Accuracy Function. JNT. 2020;(31):32-40. https://izlik.org/JA24SH92XP

Chicago

Imtıaz, Madiha, Muhammad Saqlaın, and Muhammad Saeed. 2020. “TOPSIS for Multi Criteria Decision Making in Octagonal Intuitionistic Fuzzy Environment by Using Accuracy Function”. Journal of New Theory, nos. 31: 32-40. https://izlik.org/JA24SH92XP.

EndNote

Imtıaz M, Saqlaın M, Saeed M (June 1, 2020) TOPSIS for Multi Criteria Decision Making in Octagonal Intuitionistic Fuzzy Environment by Using Accuracy Function. Journal of New Theory 31 32–40.

IEEE

[1]M. Imtıaz, M. Saqlaın, and M. Saeed, “TOPSIS for Multi Criteria Decision Making in Octagonal Intuitionistic Fuzzy Environment by Using Accuracy Function”, JNT, no. 31, pp. 32–40, June 2020, [Online]. Available: https://izlik.org/JA24SH92XP

ISNAD

Imtıaz, Madiha - Saqlaın, Muhammad - Saeed, Muhammad. “TOPSIS for Multi Criteria Decision Making in Octagonal Intuitionistic Fuzzy Environment by Using Accuracy Function”. Journal of New Theory. 31 (June 1, 2020): 32-40. https://izlik.org/JA24SH92XP.

JAMA

1.Imtıaz M, Saqlaın M, Saeed M. TOPSIS for Multi Criteria Decision Making in Octagonal Intuitionistic Fuzzy Environment by Using Accuracy Function. JNT. 2020;:32–40.

MLA

Imtıaz, Madiha, et al. “TOPSIS for Multi Criteria Decision Making in Octagonal Intuitionistic Fuzzy Environment by Using Accuracy Function”. Journal of New Theory, no. 31, June 2020, pp. 32-40, https://izlik.org/JA24SH92XP.

Vancouver

1.Madiha Imtıaz, Muhammad Saqlaın, Muhammad Saeed. TOPSIS for Multi Criteria Decision Making in Octagonal Intuitionistic Fuzzy Environment by Using Accuracy Function. JNT [Internet]. 2020 Jun. 1;(31):32-40. Available from: https://izlik.org/JA24SH92XP