Fuzzy optimization
Elham Hosseinzadeh; Javad Tayyebi
Abstract
Neutrosophic set theory plays an important role in dealing with the impreciseness and inconsistency in data encountered in solving real-life problems. The current paper focuses on the neutrosophic fuzzy multiobjective linear programming problem (NFMOLPP), where the coefficients of the objective functions, ...
Read More
Neutrosophic set theory plays an important role in dealing with the impreciseness and inconsistency in data encountered in solving real-life problems. The current paper focuses on the neutrosophic fuzzy multiobjective linear programming problem (NFMOLPP), where the coefficients of the objective functions, constraints, and right-hand side parameters are single-valued trapezoidal neutrosophic numbers (NNs). From the viewpoint of complexity of the problem, a ranking function of NNs is proposed to convert the problem into equivalent MOLPPs with crisp parameters. Then suitable membership functions for each objective are formulated using their lowest and highest value. With the aim of linear programming techniques, a compromise optimal solution of NFMOLPP is obtained. The main advantage of the proposed approach is that it obtains a compromise solution by optimizing truth-membership, indeterminacy-membership, and falsity-membership functions, simultaneously. Finally, a transportation problem is introduced as an application to illustrate the utility and practicality of the approach.
Data Envelopment Analysis, DEA
Seyed Ahmad Edalatpanah
Abstract
Several attempts have been made to deal with uncertain input and output data in Data Envelopment Analysis (DEA). However, due to the limitation of these methods, they cannot be applied for solving DEA with indeterminacy, impreciseness, vagueness, inconsistent and incompleteness information. So this paper ...
Read More
Several attempts have been made to deal with uncertain input and output data in Data Envelopment Analysis (DEA). However, due to the limitation of these methods, they cannot be applied for solving DEA with indeterminacy, impreciseness, vagueness, inconsistent and incompleteness information. So this paper for the first time deals with the Neutrosophic Data Envelopment Analysis and present a new model to solve it.
