Volume 55 (2023)
Volume 54 (2022)
Volume 53 (2021)
Volume 52 (2020)
Volume 51 (2019)
Volume 50 (2018)
Volume 49 (2017)
Volume 48 (2016)
Volume 47 (2016)
Volume 46 (2015)
Volume 45 (2014)
Volume 44 (2013)
Volume 43 (2009)
Volume 42 (2008)
Volume 41 (2007)
Perfectionism Search Algorithm (PSA): An Efficient Meta-Heuristic Optimization Approach

Amin Ghodousian; Mahdi Mollakazemiha; Noushin Karimian

Volume 55, Issue 1 , June 2023, , Pages 11-36

https://doi.org/10.22059/jac.2023.92492

Abstract
  This paper proposes a novel population-based meta-heuristic optimization algorithm, called Perfectionism SearchAlgorithm (PSA), which is based on the psychological aspects of perfectionism. The PSA algorithm takes inspiration from one of the most popular model of perfectionism, which was proposed by ...  Read More

An algorithm to Solve the Linear Programming Problem Constrained with the Harmonic–Fuzzy Relational Equalities

Amin Ghodousian; Babak Sepehri Rad; oveys qodousian

Volume 54, Issue 2 , December 2022, , Pages 123-135

https://doi.org/10.22059/jac.2022.90817

Abstract
  In this paper, a linear programming problem is investigated in which the feasible region is formed as the intersection of fuzzy relational equalities and the harmonic mean operator is considered as fuzzy composition. Theoretical properties of the feasible region are derived. It is proved that the feasible ...  Read More

A comparison between the resolution and linear optimization of FREs defined by product t-norm and geometric mean operator

Amin Ghodousian; Sara Falahatkar

Volume 54, Issue 1 , June 2022, , Pages 11-22

https://doi.org/10.22059/jac.2022.87918

Abstract
  In this paper, a type of fuzzy system is firstly investigated whereby the feasible region is defined by the fuzzy relational equalities and the geometric mean as fuzzy composition. Some related basic and theoretical properties of such fuzzy relational equations are derived and the feasible region is ...  Read More

Comparison of solutions resulted from direct problems formulated as FRE

Amin Ghodousian; Sara Zal

Volume 54, Issue 1 , June 2022, , Pages 73-87

https://doi.org/10.22059/jac.2022.88038

Abstract
  In this paper, we investigate direct solution of FRE and compare their results with expected real consequences. We give an applied example formulated by a FRE problem and show that FRE defined by maximum t-conorm and an arbitrary t-norm can yield different interpretations for our example. A necessary ...  Read More

On the resolution of LP-FRE defined by the convex combination operator

Amin Ghodousian; parsa hadadian

Volume 54, Issue 1 , June 2022, , Pages 175-186

https://doi.org/10.22059/jac.2022.88806

Abstract
  In this paper, a linear programming problem is investigated in which the feasible region is formed as a special type of fuzzy relational equalities (FRE). In this type of FRE, fuzzy composition is considered as the convex combination operator. It is proved that the feasible region of the problem can ...  Read More

A fast algorithm for the linear programming problem constrained with the Weighted power mean -- Fuzzy Relational Equalities (WPM-FRE)

Amin Ghodousian; Sara Zal

Volume 53, Issue 1 , June 2021, , Pages 135-148

https://doi.org/10.22059/jac.2021.81633

Abstract
  In this paper, a linear programming problem is investigated in which the feasible region is formed as a special type of fuzzy relational equalities (FRE). In this type of FRE, fuzzy composition is considered as the weighted power mean operator (WPM). Some theoretical properties of the feasible region ...  Read More

Linear optimization constrained by fuzzy inequalities defined by Max-Min averaging operator

A. Ghodousian; Sara Falahatkar

Volume 52, Issue 2 , December 2020, , Pages 13-28

https://doi.org/10.22059/jac.2020.79080

Abstract
  In this paper, optimization of a linear objective function with fuzzy relational inequality constraints is investigated whereby the feasible region is formed as the intersection of two inequality fuzzy systems and \textquotedblleft Fuzzy Max-Min\textquotedblright \ averaging operator is considered as ...  Read More

LP Problems on the max - “Fuzzy Or” inequalities systems

A. Ghodousian; Parmida Mirhashemi

Volume 52, Issue 2 , December 2020, , Pages 85-98

https://doi.org/10.22059/jac.2020.79249

Abstract
  In this paper, optimization of a linear objective function with fuzzy relational inequality constraints is investigated whereby the feasible region is formed as the intersection of two inequality fuzzy systems and “Fuzzy Or” operator is considered as fuzzy composition. It is shown that a ...  Read More

On the optimization of Dombi non-linear programming

A. Ghodousian; Fatemeh Elyasimohammadi

Volume 52, Issue 1 , June 2020, , Pages 1-36

https://doi.org/10.22059/jac.2020.75292

Abstract
  Dombi family of t-norms includes a parametric family of continuous strict t-norms, whose members are increasing functions of the parameter. This family of t-norms covers the whole spectrum of t-norms when the parameter is changed from zero to infinity. In this paper, we study a nonlinear optimization ...  Read More

Xerus Optimization Algorithm (XOA): a novel nature-inspired metaheuristic algorithm for solving global optimization problems

Farnood Samie Yousefi; Noushin Karimian; Amin Ghodousian

Volume 51, Issue 2 , December 2019, , Pages 111-126

https://doi.org/10.22059/jac.2019.75188

Abstract
  Over the recent years, many research has been carried out on applying the optimization approach to science and engineering problems. Thereby, numerous metaheuristic algorithms have been developed for solving such type of challenge. Despite an increase in the number of these algorithms, there is currently ...  Read More

Max-Min averaging operator: fuzzy inequality systems and resolution

A. Ghodousian; Tarane Azarnejad; Farnood Samie Yousefi

Volume 51, Issue 1 , June 2019, , Pages 55-70

https://doi.org/10.22059/jac.2019.71296

Abstract
   Minimum and maximum operators are two well-known t-norm and s-norm used frequently in fuzzy systems. In this paper, two different types of fuzzy inequalities are simultaneously studied where the convex combination of minimum and maximum operators is applied as the fuzzy relational composition. ...  Read More

Linear programming on SS-fuzzy inequality constrained problems

Amin Ghodousian; shahrzad oveisi

Volume 50, issue 2 , December 2018, , Pages 13-36

https://doi.org/10.22059/jac.2018.69466

Abstract
  In this paper, a linear optimization problem is investigated whose constraints are defined with fuzzy relational inequality. These constraints are formed as the intersection of two inequality fuzzy systems and Schweizer-Sklar family of t-norms. Schweizer-Sklar family of t-norms is a parametric family ...  Read More

LP problems constrained with D-FRIs

A. Ghodousian; M. Jafarpour

Volume 50, issue 2 , December 2018, , Pages 59-79

https://doi.org/10.22059/jac.2018.69778

Abstract
  In this paper, optimization of a linear objective function with fuzzy relational inequality constraints is investigated where the feasible region is formed as the intersection of two inequality fuzzy systems and Dombi family of t-norms is considered as fuzzy composition. Dombi family of t-norms includes ...  Read More

Solving a non-linear optimization problem in the presence of Yager-FRE constraints

A. Ghodousian; Abolfazl Javan; Asieh Khoshnood

Volume 50, Issue 1 , June 2018, , Pages 155-183

https://doi.org/10.22059/jac.2018.68964

Abstract
  Yager family of t-norms is a parametric family of continuous nilpotent t-norms which is also one of the most frequently applied one. This family of t-norms is strictly increasing in its parameter and covers the whole spectrum of t-norms when the parameter is changed from zero to infinity. In this paper, ...  Read More

Solving a non-convex non-linear optimization problem constrained by fuzzy relational equations and Sugeno-Weber family of t-norms

Amin Ghodousian; A. Ahmadi; A. Dehghani

Volume 49, Issue 2 , December 2017, , Pages 63-101

https://doi.org/10.22059/jac.2017.7978

Abstract
  Sugeno-Weber family of t-norms and t-conorms is one of the most applied one in various fuzzy modelling problems. This family of t-norms and t-conorms was suggested by Weber for modeling intersection and union of fuzzy sets. Also, the t-conorms were suggested as addition rules by Sugeno for so-called  ...  Read More

Linear optimization on the intersection of two fuzzy relational inequalities defined with Yager family of t-norms

Amin Ghodousian; Reza Zarghani

Volume 49, Issue 1 , June 2017, , Pages 55-82

https://doi.org/10.22059/jac.2017.7981

Abstract
  In this paper, optimization of a linear objective function with fuzzy relational inequality constraints is investigated where the feasible region is formed as the intersection of two inequality fuzzy systems and Yager family of t-norms is considered as fuzzy composition. Yager family of t-norms is a ...  Read More

Linear optimization on Hamacher-fuzzy relational inequalities

Amin Ghodousian; Mohammadsadegh Nouri

Volume 49, Issue 1 , June 2017, , Pages 115-150

https://doi.org/10.22059/jac.2017.7988

Abstract
  In this paper, optimization of a linear objective function with fuzzy relational inequality constraints is investigated where the feasible region is formed as the intersection of two inequality fuzzy systems and Hamacher family of t-norms is considered as fuzzy composition. Hamacher family of t-norms ...  Read More

An Optimization Model for Epidemic Mitigation and Some Theoretical and Applied Generalizations

Sima Ranjbarfard; Amin Ghodousian; D. Moazzami

Volume 48, Issue 1 , December 2016, , Pages 99-116

https://doi.org/10.22059/jac.2016.7945

Abstract
  In this paper, we present a binary-linear optimization model to prevent the spread of an infectious disease in a community. The model is based on the remotion of some connections in a contact network in order to separate infected nodes from the others. By using this model we nd an exact optimal solution ...  Read More

Heuristic and exact algorithms for Generalized Bin Covering Problem

S. Jabari; Dara Moazzami; A. Ghodousian

Volume 47, Issue 1 , June 2016, , Pages 53-62

https://doi.org/10.22059/jac.2016.7936

Abstract
  In this paper, we study the Generalized Bin Covering problem. For this problem an exact algorithm is introduced which can nd optimal solution for small scale instances. To nd a solution near optimal for large scale instances, a heuristic algorithm has been proposed. By computational experiments, the ...  Read More

A Mathematical Optimization Model for Solving Minimum Ordering Problem with Constraint Analysis and some Generalizations

Samira Rezaei; Amin Ghodousian

Volume 47, Issue 1 , June 2016, , Pages 101-117

https://doi.org/10.22059/jac.2016.7949

Abstract
  In this paper, a mathematical method is proposed to formulate a generalized ordering problem. This model is formed as a linear optimization model in which some variables are binary. The constraints of the problem have been analyzed with the emphasis on the assessment of their importance in the formulation. ...  Read More