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Optimization of linear objective function subject to fuzzy relatin inequalities constraints with maxaverage composition, Iranian
 Saeed Ramezanzadeh∗, Department of Mathematics, Payame Noor University, Tehran, Iran and Department of Mathematics, Faculty of Technology, Olum Entezami University
"... relation inequalities. ..."
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Multiobjective Programming Problem with Fuzzy Relational Equations
"... Abstract ⎯In this paper we propose a methodology for the solution of multiobjective programming problem with fuzzy relational equations (FRE’s) as constraints. In the first part of the proposed methodology, we find the feasible solution set of FRE’s and give an algorithm to compute minimal solutions ..."
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Abstract ⎯In this paper we propose a methodology for the solution of multiobjective programming problem with fuzzy relational equations (FRE’s) as constraints. In the first part of the proposed methodology, we find the feasible solution set of FRE’s and give an algorithm to compute minimal solutions and maximal solutions of objective functions which can also be computed by constructed computer program and then in the second part of the proposed methodology which works for the minimization of perpendicular distances between the parallel hyper planes at the optimal points of the objective functions. A compromise optimal solution is obtained as a result of minimization of supremum perpendicular distance. Suitable membership function has been defined with the help of supremum perpendicular distance. An example is given in last to support the model.
UNDERSTANDING OF FUZZY OPTIMIZATION: THEORIES AND METHODS
"... Abstract. A brief summary on and comprehensive understanding of fuzzy optimization is presented. This summary is made on aspects of fuzzy modelling and fuzzy optimization, classi cation and formulation for the fuzzy optimization problems, models and methods. The importance of interpretation of the p ..."
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Abstract. A brief summary on and comprehensive understanding of fuzzy optimization is presented. This summary is made on aspects of fuzzy modelling and fuzzy optimization, classi cation and formulation for the fuzzy optimization problems, models and methods. The importance of interpretation of the problem and formulation of the optimal solution in fuzzy sense are emphasized in the summary of the fuzzy optimization. Key words. Fuzzy optimization, theory and methods, survey. 1
International Journal of Solving Fuzzy Linear Programming Problem With Fuzzy Relational Equation Constraint
, 2013
"... Abstract. A linear programming problem with minimum linear objective function subject to a system of fuzzy relation equations using maxmin product is considered. Some procedures to reduce the problem are established and illustrated by a numerical example. ..."
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Abstract. A linear programming problem with minimum linear objective function subject to a system of fuzzy relation equations using maxmin product is considered. Some procedures to reduce the problem are established and illustrated by a numerical example.
LINEAR OBJECTIVE FUNCTION OPTIMIZATION WITH THE MAXPRODUCT FUZZY RELATION INEQUALITY CONSTRAINTS
"... chi ..."
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MULTIOBJECTIVE OPTIMIZATION WITH PREEMPTIVE PRIORITY SUBJECT TO FUZZY RELATION EQUATION CONSTRAINTS
"... Abstract. This paper studies a new multiobjective fuzzy optimization problem. The objective function of this study has different levels. Therefore, a suitable optimized solution for this problem would be an optimized solution with preemptive priority. Since, the feasible domain is nonconvex; the ..."
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Abstract. This paper studies a new multiobjective fuzzy optimization problem. The objective function of this study has different levels. Therefore, a suitable optimized solution for this problem would be an optimized solution with preemptive priority. Since, the feasible domain is nonconvex; the traditional methods cannot be applied. We study this problem and determine some special structures related to the feasible domain, and using them some methods are proposed to reduce the size of the problem. Therefore, the problem is being transferred to a similar 01 integer programming and it may be solved by a branch and bound algorithm. After this step the problem changes to solve some consecutive optimized problem with linear objective function on discrete region. Finally, we give some examples to clarify the subject. 1.
Fuzzy goal programming applied to multiobjective programming problem with FREs as constraints
, 2015
"... This paper presents an alternate technique based on fuzzy goal programming (FGP) approach to solve multiobjective programming problem with fuzzy relational equations (FREs) as constraints. The proposed technique is more efficient and requires less computational work than that of algorithm suggeste ..."
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This paper presents an alternate technique based on fuzzy goal programming (FGP) approach to solve multiobjective programming problem with fuzzy relational equations (FREs) as constraints. The proposed technique is more efficient and requires less computational work than that of algorithm suggested by