TOPSIS Strategy for Multi-Attribute Decision Making with Trapezoidal Neutrosophic Numbers

• Published in: Neutrosophic sets and systems Vol. 19; pp. 29 - 39
• Main Authors: Biswas, Pranab, Pramanik, Surapati, Giri, Bibhas C
• Format: Journal Article
• Language: English
• Published: Neutrosophic Sets and Systems 01.03.2018; University of New Mexico
• Subjects: Mathematical research; multi-attribute decision making; Multiple criteria decision making; Set theory; Single-valued trapezoidal neutrosophic number; TOPSIS
• ISSN: 2331-6055; 2331-608X
• DOI: 10.5281/zenodo.1235335

Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is a popular strategy for Multi-Attribute Decision Making (MADM). In this paper, we extend the TOPSIS strategy of MADM problems in trapezoidal neutrosophic number environment. The attribute values are expressed in terms of single-valued trapezoidal neutrosophic numbers. The weight information of attribute is incompletely known or completely unknown. Using the maximum deviation strategy, we develop an optimization model to obtain the weight of the attributes. Then we develop an extended TOPSIS strategy to deal with MADM with single-valued trapezoidal neutrosophic numbers. To illustrate and validate the proposed TOPSIS strategy, we provide a numerical example of MADM problem. Keywords: Single-valued trapezoidal neutrosophic number, multi-attribute decision making, TOPSIS.