Distance Measure Based MADM Strategy with Interval Trapezoidal Neutrosophic Numbers

• Main Authors: Pranab Biswas, Surapati Pramanik, Bibhas Chandra Giri
• Format: Article
• Language: English
• Published: University of New Mexico 2018-03-01
• Series: Neutrosophic Sets and Systems
• Subjects: Interval trapezoidal neutrosophic number; Hamming distance measure; entropy; multi-attribute decision making
• Online Access: http://fs.gallup.unm.edu/NSS/DistanceMeasureBasedMADM.pdf

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.