TY - JOUR
AU - Biswas, Pranab Biswas
AU - Pramanik, Surapati Pramanik
AU - Giri, Bibhas Chandra Giri
TI - Distance Measure Based MADM Strategy with Interval Trapezoidal Neutrosophic Numbers
PY - 2018/04/28
Y2 - 2024/11/12
JF - Neutrosophic Sets and Systems
JA - Neutrosophic Sets Syst.
VL - 19
IS - 2018-04-28
SE - SI#1,2024: Neutrosophical Advancements And Their Impact on Research
UR - https://fs.unm.edu/nss8/index.php/111/article/view/354
SP - 40-46
AB - In this paper, we introduce interval trapezoidal neutrosophic number and define some arithmetic operations of the proposed interval trapezoidal neutrosophicnumbers. 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 neutrosophicnumbers. 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.
ER -