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Nondominated solutions in a fully fuzzy linear programming problem
Mathematical Methods in the Applied Sciences, 2018In this work, a new method is presented for locating fuzzy optimal (nondominated) solutions of a fully fuzzy linear programming problem with inequality constraints and triangular fuzzy numbers, not necessarily symmetric, without ranking functions, by means of solving a multiobjective linear problem.
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Solving fully fuzzy multi-objective linear programming problem with fuzzy dominant degrees
Journal of Intelligent & Fuzzy Systems, 2020In this paper, we investigate all relative relationships between two fuzzy numbers. Then, we introduce new relative measures to compare two fuzzy numbers instead of using absolute value to represent the fuzzy number. These measures address the dominant level that one fuzzy number is better than the other in terms of its position and shape.
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Applied Intelligence, 2011
Kumar et al. (Appl. Math. Model. 35:817---823, 2011) pointed out that there is no method in literature to find the exact fuzzy optimal solution of fully fuzzy linear programming (FFLP) problems and proposed a new method to find the fuzzy optimal solution of FFLP problems with equality constraints having non-negative fuzzy variables and unrestricted ...
Jagdeep Kaur, Amit Kumar
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Kumar et al. (Appl. Math. Model. 35:817---823, 2011) pointed out that there is no method in literature to find the exact fuzzy optimal solution of fully fuzzy linear programming (FFLP) problems and proposed a new method to find the fuzzy optimal solution of FFLP problems with equality constraints having non-negative fuzzy variables and unrestricted ...
Jagdeep Kaur, Amit Kumar
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Interactive programming approach for solving the fully fuzzy bilevel linear programming problem
Knowledge-Based Systems, 2016In this paper, a fully fuzzy bilevel linear programming problem in which all the coefficients and decision variables of both objective functions and the constraints are expressed as fuzzy numbers is addressed. The purpose of this paper is to develop an interactive programming approach to obtain a balanced solution of the fully fuzzy bilevel programming
Aihong Ren, Yuping Wang, Xingsi Xue
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Fully hesitant fuzzy linear programming with hesitant fuzzy numbers
Engineering Applications of Artificial Intelligence, 2022M. Ranjbar, S. Effati, S.M. Miri
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Fuzzy Pareto Solutions in Fully Fuzzy Multiobjective Linear Programming
2019In this work, it is proposed a new method for obtaining Pareto solutions of a fully fuzzy multiobjective linear programming problem with fuzzy partial orders and triangular fuzzy numbers, without ranking functions, by means of solving a crisp multiobjective linear problem. It is provided an algorithm to generate Pareto solutions.
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Dual simplex method for solving fully fuzzy linear programming problems
2015 4th Iranian Joint Congress on Fuzzy and Intelligent Systems (CFIS), 2015This study proposes a novel technique for solving linear programming problems in a fully fuzzy environment. A modified version of the well-known dual simplex method is used for solving fuzzy linear programming problems. The use of a ranking function together with the Gaussian elimination process helps in solving linear programming problems in a fully ...
Akbar Hashemi Borzabadi, Hossein Alemy
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A new approach for solving fully fuzzy linear programming problem
International Journal of Mathematics in Operational Research, 2019This paper presents the limitations of citeku for solving a fully fuzzy linear programming (FFLP) problem. And accordingly to overcome these limitations a new method has been proposed by using the ranking function. We have considered a FFLP problem with mixed constraints where decision variables are represented by non-negative fuzzy numbers. Triangular
Sapan Kumar Das +2 more
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Fuzzy Optimal Solution of Fully Fuzzy Linear Programming Problems with Equality Constrains
2016In this chapter, the limitations of the method, presented in Chap. 2, are pointed out and to overcome these limitations, Kaur and Kumar’s method [1] is presented for solving fully fuzzy linear programming problems with equality constraints. To show the application of Kaur and Kumar’s method [1] a real life problem, which cannot be solved by using the ...
Jagdeep Kaur, Amit Kumar
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A mixed integer programming approach to a square fully fuzzy linear equation
Journal of Intelligent & Fuzzy Systems, 2016In this paper, a new method is proposed to find the feasible (strong) fuzzy solution of a square ( n × n ) fully fuzzy linear equation system (FFLS) with triangular fuzzy numbers. The main purpose of the proposed method is to remove all the sign restrictions on the parameters and variables.
Albayrak, Inci +3 more
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