Distance Measure Based MADM Strategy with Interval Trapezoidal Neutrosophic Numbers

• Published in: Neutrosophic sets and systems 2018-03, Vol.19, p.40-46
• Main Authors: Biswas, Pranab, Pramanik, Surapati, Giri, Bibhas Chandra
• Format: Article
• Language: English
• Subjects: entropy; Hamming distance measure; Interval trapezoidal neutrosophic number; Mathematical research; multi-attribute decision making; Multiple criteria decision making; Set theory
• ISSN: 2331-6055; 2331-608X
• DOI: 10.5281/zenodo.1235165

In this paper, we introduce interval trapezoidal neutrosophic number and define some arithmetic operations of the proposed interval trapezoidal neutrosophic numbers. Then we consider a multiple attribute decision making (MADM) problem with interval trapezoidal neutrosophic numbers. The weight information of each attribute in the multi attribute decision making problem is expressed in terms of interval trapezoidal neutrosophic numbers. To develop distance measure based MADM strategy with interval trapezoidal neutrosophic numbers, we define normalised Hamming distance measure of the proposed numbers and develop an algorithm to determine the weight of the attributes. Using these weights, we aggregate the distance measures of preference values of each alternative with respect to ideal alternative. Then we determine the ranking order of all alternatives according to the aggregated weighted distance measures of all available alternatives. Finally, we provide an illustrative example to show the feasibility, applicability of the proposed MADM strategy with interval trapezoidal neutrosophic numbers. Keywords: Interval trapezoidal neutrosophic number, Hamming distance measure, entropy, multi-attribute decision making.