An Approach To The Optimization Of Multi Objective Assignment Problems With Neutrosophic Numbers
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An Approach to The Optimization of Multi-Objective Assignment Problems with Neutrosophic Numbers
This paper aims to study the multi-objective assignment problem with emphasis on imprecise costs rather than price information. The NMOAS problem is considered by adding single-valued trapezoidal neutrosophic numbers to the elements of cost matrices.
A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number
Author: Hamiden Abd El-Wahed Khalifa
language: en
Publisher: Infinite Study
Release Date: 2020-10-01
Assignment problem (AP) is well- studied and important area in optimization. In this research manuscript, an assignment problem in neutrosophic environment, called as neutrosophic assignment problem (NAP), is introduced. The problem is proposed by using the interval-valued trapezoidal neutrosophic numbers in the elements of cost matrix. As per the concept of score function, the interval-valued trapezoidal neutrosophic assignment problem (IVTNAP) is transformed to the corresponding an interval-valued AP. To optimize the objective function in interval form, we use the order relations. These relations are the representations of choices of decision maker. The maximization (or minimization) model with objective function in interval form is changed to multi- objective based on order relations introduced by the decision makers' preference in case of interval profits (or costs). In the last, we solve a numerical example to support the proposed solution methodology.
Neutrosophic Sets and Systems, Vol. 36, 2020
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Some articles in this issue: n-Refined Neutrosophic Modules, A Neutrosophic Approach to Digital Images, A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number.