TY - JOUR
AU - Hamiden Abd El- Wahed Khalifa,
AU - Pavan Kumar,
TI - A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number
PY - 2020/10/08
Y2 - 2024/11/12
JF - Neutrosophic Sets and Systems
JA - Neutrosophic Sets Syst.
VL - 36
SE - SI#1,2024: Neutrosophical Advancements And Their Impact on Research
UR - https://fs.unm.edu/nss8/index.php/111/article/view/4028
SP - 24-36
AB - Assignment problem (AP) is well- studied and important area in optimization. In thisresearch manuscript, an assignment problem in neutrosophic environment, called as neutrosophicassignment problem (NAP), is introduced. The problem is proposed by using the interval-valuedtrapezoidal neutrosophic numbers in the elements of cost matrix. As per the concept of scorefunction, the interval-valued trapezoidal neutrosophic assignment problem (IVTNAP) istransformed to the corresponding an interval-valued AP. To optimize the objective function ininterval form, we use the order relations. These relations are the representations of choices ofdecision maker. The maximization (or minimization) model with objective function in interval formis changed to multi- objective based on order relations introduced by the decision makers' preferencein case of interval profits (or costs). In the last, we solve a numerical example to support theproposed solution methodology.
ER -