We explore some duality properties in fuzzy number linear programming problems. By use of a linear ranking function we introduce the dual of fuzzy number linear programming primal problems. We then present several duality results. 2006 Elsevier Inc. All rights reserved.

in this paper, a novel approach for ranking fuzzy numbers based on the angle measure is introduced. several left and right spreads at each chosen levels of fuzzy numbers is used to determine center of mass points(cmps) and then, the angels between the cmps and the horizontal axis is calculated. the total angle is determined by averaging the computed angles and finally, the novel method is compa...

Linear Programming problems with discrete 0-1 variables are of utmost importance in many fields as, e.g., those related to Artificial Intelligence, Operations Research and Management. The main aim of this paper is to present the Fuzzy Linear Boolean Programming problem with fuzzy costs and propose different approaches solving it. These approaches are based on methods for ranking fuzzy numbers, ...

Within the fuzzy literature, the issue of ranking fuzzy intervals has been addressed by many authors, who proposed various solutions to the problem. Most of these solutions intend to find a total order on a given collection of fuzzy intervals. However, if one sees fuzzy intervals as descriptions of uncertain quantities, an alternative to rank them is to use ranking rules issued from the impreci...

Assignment problem is a well-known topic and is used very often in solving problems of engineering and management science. In this problem denotes the cost for assigning the job to the person. This cost is usually deterministic in nature. In this paper has been considered to be triangular or trapezoidal fuzzy numbers denoted by ̃ which are more realistic and general in nature. A new ranking meth...

In this paper, deriving the fuzzy weights of criteria from the fuzzy pair-wise comparison matrix with triangular fuzzy elements is investigated. In the proposed method we first use the ranking function to convert the triangular fuzzy data into crisp one. Then by using the goal programming method we derive the fuzzy weights of criteria. We propose two new methods, and it is shown that these meth...

Recently, some researchers presented methods for ranking fuzzy numbers based on deviation degree. To avoid more applications that are possible or spread in the future, in this paper, we indicate that the proposed methods have drawbacks. Therefore, they cannot rank fuzzy numbers in all conditions.