An order relation, which satisfies the axioms of a partial ordering, is defined on the set of general fuzzy numbers. An L fuzzy number is defined as a fuzzy number specialized to a certain extent, and fundamental linear operations are introduced on the set of the L fuzzy numbers. After that, characterization theorems of the order among the L fuzzy numbers is given in terms of the parameters of the fuzzy numbers, and it is investigated, on the basis of the theorems, that how the order relation is adapted for the fundamental operations. Finally, some of these results are applied to two types of fuzzy linear programming problems, in which the coefficients of constraint functions are L fuzzy numbers, to show that both types of the problems can ...
Most of the time we encounter problems where quantities cannot be expressed by crisp numbers; instea...
Abstract:- In the real-world optimization problems, coefficients of the objective function are not k...
Linear programming (LP) is the most widely used optimization technique for solving real-life problem...
An order relation, which satisfies the axioms of a partial ordering, is defined on the set of genera...
This paper presents a solution approach for multi-objective linear programming problem. We propose t...
Many ranking methods have been proposed so far. However, there is yet no method that can always give...
AbstractThe optimality conditions for linear programming problems with fuzzy coefficients are derive...
Methods for ordering fuzzy numbers play an important role as decision criteria, with applications in...
From the more than two hundred partial orders for fuzzy numbers proposed in the literature, only a f...
This paper presents a survey on methods for solving fuzzy linear programs. First LP models with soft...
We investigate various types of fuzzy linear programming problems based on models and solution metho...
The fuzzy set theory has been applied in many fields, such as operations research, control theory, a...
It is well-known that the set of fuzzy numbers is not ordered. The author states the conditions whic...
The aim of this paper is to present a general framework for comparing fuzzy sets with respect to a ...
The paper analyses the linear programming problem with fuzzy coecients in the objective function. Th...
Most of the time we encounter problems where quantities cannot be expressed by crisp numbers; instea...
Abstract:- In the real-world optimization problems, coefficients of the objective function are not k...
Linear programming (LP) is the most widely used optimization technique for solving real-life problem...
An order relation, which satisfies the axioms of a partial ordering, is defined on the set of genera...
This paper presents a solution approach for multi-objective linear programming problem. We propose t...
Many ranking methods have been proposed so far. However, there is yet no method that can always give...
AbstractThe optimality conditions for linear programming problems with fuzzy coefficients are derive...
Methods for ordering fuzzy numbers play an important role as decision criteria, with applications in...
From the more than two hundred partial orders for fuzzy numbers proposed in the literature, only a f...
This paper presents a survey on methods for solving fuzzy linear programs. First LP models with soft...
We investigate various types of fuzzy linear programming problems based on models and solution metho...
The fuzzy set theory has been applied in many fields, such as operations research, control theory, a...
It is well-known that the set of fuzzy numbers is not ordered. The author states the conditions whic...
The aim of this paper is to present a general framework for comparing fuzzy sets with respect to a ...
The paper analyses the linear programming problem with fuzzy coecients in the objective function. Th...
Most of the time we encounter problems where quantities cannot be expressed by crisp numbers; instea...
Abstract:- In the real-world optimization problems, coefficients of the objective function are not k...
Linear programming (LP) is the most widely used optimization technique for solving real-life problem...