Interval-valued Trapezoidal Neutrosophic and Multi-Choice Parameters for Multi-objective Production Planning Problem

An intuitionistic multi-objective programming problem with interval-valued trapezoidal neutrosophic (IVTN) and multi-choice interval type has been considered in this paper. The coefficients of objective functions and parameters of the left side of the constraints are in the multi-choice environment, and the right-hand side of the constraints are in IVTN number type. The formulated problem’s multi-choice parameters were transformed into the deterministic form using the binary variable transformation technique. A procedure is defined to change the IVTN number into the deterministic form. Then, intuitionistic fuzzy programming with two different scalarization models has been used to achieve each membership goal’s highest degree and obtain a satisfactory decision-making solution. Finally, a numerical case study for production planning is explored to validate the work’s efficiency and usefulness.