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

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,...

Full description

Bibliographic Details
Main Authors: Ahteshamul Haq, Mohd Arif Khan, Aquil Ahmed
Format: Article
Language:English
Published: University of New Mexico 2022-06-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:http://fs.unm.edu/NSS/MultiobjectiveProductionNeutrosophic12.pdf
Description
Summary: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 the 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 (IFP) 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 (PP) is explored to validate the work's efficiency and usefulness.
ISSN:2331-6055
2331-608X