An Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variables

Authors

  • Said Broumi Faculty of Lettres and Humanities, Hay El Baraka Ben M'sik Casablanca B.P. 7951, University of Hassan II Casablanca , Morocco
  • Jun Ye Department of Electrical and Information Engineering, Shaoxing University, No. 508 Huancheng West Road, Shaoxing, Zhejiang Province 312000, P.R. China
  • Florentin Smarandache University of New Mexico, Math & Science Division, 705 Gurley Ave., Gallup, NM 87301, USA

Keywords:

The interval neutrosophic linguistic, multiple attribute decision making, TOPSIS, maximizing deviation method

Abstract

The interval neutrosophic uncertain linguistic variables can easily express the indeterminate and inconsistent information in real world, and TOPSIS is a very effective decision making method more and more extensive applications. In this paper, we will extend the TOPSIS method to deal with the interval neutrosophic uncertain linguistic information, and propose an extended TOPSIS method to solve the multiple attribute decision making problems in which the attribute value takes the form of the interval neutrosophic uncertain linguistic variables and attribute weight is unknown. Firstly, the operational rules and properties for the interval neutrosophic variables are introduced. Then the distance between two interval neutrosophic uncertain linguistic variables is proposed and the attribute weight is calculated by the maximizing deviation method, and the closeness coefficients to the ideal solution for each alternatives. Finally, an illustrative example is given to illustrate the decision making steps and the effectiveness of the proposed method.

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Published

2015-03-15

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Broumi, S., Jun Ye, & Smarandache, F. (2015). An Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variables. Neutrosophic Sets and Systems, 8, 22-31. https://fs.unm.edu/nss8/index.php/111/article/view/487

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