Fuzzy optimization
A compromise solution for the neutrosophic multi-objective linear programming problem and its application in transportation problem

Elham Hosseinzadeh; Javad Tayyebi

Articles in Press, Accepted Manuscript, Available Online from 19 June 2022

https://doi.org/10.22105/jarie.2022.328580.1451

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

Fuzzy optimization
Fully fuzzy transportation problems with pentagonal and hexagonal fuzzy numbers

Ladji Kane; Moctar Diakite; Souleymane Kane; Hawa Bado; Daouda Diawara

Volume 8, Issue 3 , September 2021, , Pages 251-269

https://doi.org/10.22105/jarie.2021.288186.1331

Abstract
  The aim of this paper is to introduce a formulation of fully fuzzy transportation problems involving pentagonal and hexagonal fuzzy numbers for the transportation costs and values of supplies and demands.  We introduce new technique for improve methods for solving the fully fuzzy transportation ...  Read More

Fuzzy optimization
A nonlinear approach for neutrosophic linear programming

Seyed Ahmad Edalatpanah

Volume 6, Issue 4 , December 2019, , Pages 367-373

https://doi.org/10.22105/jarie.2020.217904.1137

Abstract
  Traditional linearl programming usually handles optimization problems involving deterministic objective functions and/or constrained functions. However, uncertainty also exists in real problems. Hence, many researchers have proposed uncertain optimization methods, such as approaches using fuzzy and stochastic ...  Read More

Fuzzy optimization
A new approach to solve fully fuzzy linear programming problem

Faranak Mahmoudi; Seyed Hadi Nasseri

Volume 6, Issue 2 , June 2019, , Pages 139-149

https://doi.org/10.22105/jarie.2019.183391.1090

Abstract
  Today, human decisions are more than ever based on information. But most of this information is not definitive, and in this situation, logical decision making is very difficult based on this uncertainty. Different methods are used to represent this uncertainty, including the fuzzy numbers. The fuzzy ...  Read More

Fuzzy optimization
On solving fully fuzzy multi-criteria De Novo programming via fuzzy goal programming approach

Hamiden Abdelwahed Khalifa

Volume 5, Issue 3 , November 2018, , Pages 239-252

https://doi.org/10.22105/jarie.2018.148642.1054

Abstract
  In this paper, a Multi-Criteria De Novo Linear Programming (F- MDNLP) problem has been developed under consideration of the ambiguity of parameters. These fuzzy parameters are characterized by fuzzy numbers. A fuzzy goal programming approach is applied for the corresponding multi-criteria De Novo linear ...  Read More

Fuzzy optimization
On solutions of fuzzy multi-objective programming problems through weighted coefficients in two-Phase approach

Hamiden Abdelwahed Khalifa

Volume 5, Issue 2 , September 2018, , Pages 110-121

https://doi.org/10.22105/jarie.2018.139816.1045

Abstract
  In this paper, a Fuzzy Multi-Objective Linear Programming (FMOLP) problem having both objective functions and constraints fuzzy parameters is introduced. Theses fuzzy parameters are characterized by trapezoidal fuzzy numbers. The FMOLP problem is converted into the corresponding deterministic MOLP problem ...  Read More

Fuzzy optimization
A Solution Approach for Solving Fully Fuzzy Quadratic Programming Problems

Nemat Allah Taghi-Nezhad; Fatemeh Taleshian

Volume 5, Issue 1 , June 2018, , Pages 50-61

https://doi.org/10.22105/jarie.2018.111797.1028

Abstract
  Quadratic Programming has been widely applied to solve real-world problems. This paper describes a solution method for solving a special class of fuzzy quadratic programming problems with fuzziness in relations. Then the method is generalized to a more general fuzzy quadratic programming problem, where ...  Read More

Fuzzy optimization
A new model for solving fuzzy linear fractional programming problem with ranking function

Sapan Kumar Das; Tarni Mandal

Volume 4, Issue 2 , October 2017, , Pages 89-96

https://doi.org/10.22105/jarie.2017.48543

Abstract
  In this paper, we studied fuzzy linear fractional programming (FLFP) problems with trapezoidal fuzzy numbers where the objective functions are fuzzy numbers and the constraints are real numbers. In this study, in order to obtain the fuzzy optimal solution with unrestricted variables and parameters, a ...  Read More

Fuzzy optimization
A New Fuzzy Hybrid Dynamic Programming for Scheduling Weighted Jobs on Single Machine

Seyedeh Maedeh Mirmohseni; Seyed Hadi Nasseri; Mohammad Hossein Khaviari

Volume 4, Issue 2 , October 2017, , Pages 97-115

https://doi.org/10.22105/jarie.2017.49214

Abstract
  In this paper, dynamic programming for sequencing weighted jobs on a single machine to minimizing total tardiness is focused, to significance of fuzzy numbers field, and importance of that for decision makers who are facing on uncertain data, combination of dynamic programming and fuzzy numbers is applied. ...  Read More

Fuzzy optimization
Shortest Path Problem in Network with Type-2 Triangular Fuzzy Arc Length

Ranjan Kumar; Sripati Jha; Ramayan Singh

Volume 4, Issue 1 , September 2017, , Pages 1-7

https://doi.org/10.22105/jarie.2017.48858

Abstract
  In traditional shortest path problem it is always determined that the parameters (Time, Cost and Distance etc.) are fixed between different nodes. But in real life situations where uncertain parameters exist, parameters are considered as fuzzy numbers. In this paper, we  explained the application ...  Read More

Fuzzy optimization
A Generalized Model for Fuzzy Linear Programs with Trapezoidal Fuzzy Numbers

Seyed Hadi Nasseri; Hadi Zavieh; Seyedeh Maedeh Mirmohseni

Volume 4, Issue 1 , September 2017, , Pages 24-38

https://doi.org/10.22105/jarie.2017.49602

Abstract
  ‎ In this paper, we generalize a linear programming problem with symmetric trapezoidal ‎fuzzy number which is introduced by Ganesan and et al. in [3] to a general kind of trapezoidal fuzzy number. In this way, we first establish a new ‏arithmetic operation for multiplication of two ‏trapezoidal ...  Read More