A New Method for Solving Interval Neutrosophic Linear Programming Problems

Nafei, Amirhossein; Yuan, Wenjun; Nasseri, Hadi

doi:10.35378/gujs.689125

Cited by 12 publications

(4 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Adopting a suitable threshold and score function are other factors that must be considered. Despite shortcomings in score function N in the ranking of neutrosophic triplets in certain cases discussed by Nafei et al in [29], the results obtained in this research indicate that the use of score function N reduces the computational complexity. So, the introduced algorithm using score function N reaches the final order after only one iteration.…”

Section: The Implemented Strategy Order Of Alternatives Number Of Ite...mentioning

confidence: 53%

Neutrosophic Autocratic Multi-Attribute Decision-Making Strategies for Building Material Supplier Selection

et al. 2023

Self Cite

View full text Add to dashboard Cite

Because of the intricate nature of real-world scenarios, experts could encounter many ambiguities throughout the decision-making (DM) process. Adopting a DM strategy in conditions of indeterminacy so that the decision makers are limited to a small number of experts is always helpful in real life. Neutrosophic conception is a convenient technique for handling inconsistent, ambiguous, and uncertain values. This research presents an autocratic DM strategy based on Neutrosophic Sets (NSs) to address these ambiguities. The essential component of the suggested technique is the conversion of diverse management decision and weight matrices into a unified evaluation matrix. Supplier Selection (SS) is a multi-criteria decision-making problem where a limited number of alternative suppliers are evaluated using a limited set of criteria. The suggested methodology based on different score functions is applied to SS issues involving construction materials. The numerical illustrations indicate the success of the introduced method in selecting the best supplier with the least computational complexity. The important point obtained in this research is that adopting a suitable score function appropriate to the characteristics of the data plays an important role in the decision-making process.

show abstract

Section: The Implemented Strategy Order Of Alternatives Number Of Ite...mentioning

confidence: 53%

Neutrosophic Autocratic Multi-Attribute Decision-Making Strategies for Building Material Supplier Selection

et al. 2023

Self Cite

View full text Add to dashboard Cite

show abstract

“…Abdel-Baset et al [27] introduced the concept of integer programming in an environment of Neutrosophy by assuming that the problem's coefficients are triangular Neutrosophic numbers, and also introduced the Neutrosophic cutting plane algorithm and the Neutrosophic branch and bound algorithm. A new score function was used by Nafei and Nasseri [28] to turn the Neutrosophic integer programming problem into a crisp model, which was then solved using the branch and bound algorithm.…”

Section: Integer Programming (Ip) Is An Optimization Problem That Put...mentioning

confidence: 99%

A Multi-Level Multi-Objective Integer Quadratic Programming Problem Under Pentagonal Neutrosophic Environment

Bekhit,

Emam,

Elhamid

2023

Fuzzy Information and Engineering

View full text Add to dashboard Cite

The aim of this paper is to propose an algorithm to solve and enhance a multi-level multi-objective integer quadratic programming problem (MLMOIQPP) under a single-valued Pentagonal Neutrosophic environment applied to the objective functions. The suggested solution takes advantage of multi-objective optimization in addition to the fuzzy approach as well as the branch and bound technique, which is implemented at each decision level to develop a generalized maximization-minimization model for obtaining the integer satisfactory solution after applying the score and accuracy function in the first phase of the solution methodology to singlevalued Pentagonal Neutrosophic parameters to be converted into an equal crisp form. An illustrative example is demonstrated to validate the proposed solution algorithm.

show abstract

“…Definition 1 ( [22,27]). A neutrosophic set (NS) N in a domain X(finite universe of objectives) can be represented by…”

Section: Preliminariesmentioning

confidence: 99%

An extension of the TOPSIS for multi-attribute group decision making under neutrosophic environment

Nafei¹,

Gu²,

Yuan³

2021

MMN

Self Cite

View full text Add to dashboard Cite

Neutrosophic set theory as a generalization of the fuzzy set theory and intuitionistic fuzzy set theory is an effective tool to deal with inconsistent, imprecise, and vague information. TOPSIS is a multiple attribute method to identify solutions from a finite set of alternatives based upon simultaneous minimization of distance from an ideal point and maximization of distance from a nadir point. In this paper, we first develop a new Hamming distance between single-valued neutrosophic numbers and then present an extension of the TOPSIS method for multi-attribute group decision-making (MAGDM) based on single-valued neutrosophic sets, where the inform ation about attribute values and attribute weights are expressed by decision-makers based on neutrosophic numbers.

show abstract

A New Method for Solving Interval Neutrosophic Linear Programming Problems

Abstract: Highlights• Present a technique to convert every Interval Neutrosophic problem into the crisp model.• A powerful tool for dealing with indeterminate and inconsistent information.• A technique for solving and optimizing the problems based on uncertainty.

Cited by 12 publications

References 15 publications

Neutrosophic Autocratic Multi-Attribute Decision-Making Strategies for Building Material Supplier Selection

Neutrosophic Autocratic Multi-Attribute Decision-Making Strategies for Building Material Supplier Selection

A Multi-Level Multi-Objective Integer Quadratic Programming Problem Under Pentagonal Neutrosophic Environment

An extension of the TOPSIS for multi-attribute group decision making under neutrosophic environment

Contact Info

Product

Resources

About