In this paper, a novel method for ranking of fuzzy numbers are proposed. In this method, decision maker is defined based on the center of mass at some cuts of a pair of fuzzy numbers in discreet version and center of mass on all of cuts of a pair of fuzzy numbers in continuous version. Our method can rank more than two fuzzy numbers simultaneously. Also, some properties of methods are described...

in order to survive in today's competitive world, organizations are looking to increase their efficiency and effectiveness. therefore, they should focus on inputs that are more important than the rest of the inputs in their success. this paper aimed at ranking 7ms (management, man power, marketing, material, machinery, methods and money) and their sub-criteria of production in iran. by imp...

This paper applies a new multi attribute decision-making (MADM) model to help companies for enterprise resource planning (ERP) selection problem based on Balanced Score Card method. This paper uses three-parameter interval grey numbers which is derived from Grey theory (was proposed by J. Deng). This numbers is used instead of linguistic variables. Beside, a new weighting method that outcomes f...

This paper applies a new multi attribute decision-making (MADM) model to help companies for enterprise resource planning (ERP) selection problem based on Balanced Score Card method. This paper uses three-parameter interval grey numbers which is derived from Grey theory (was proposed by J. Deng). This numbers is used instead of linguistic variables. Beside, a new weighting method that outcomes f...

The current study set to extend a new VIKOR method as a compromise ranking approach to solve multiple criteria decision-making (MCDM) problems through intuitionistic fuzzy analysis. Using compromise method in MCDM problems contributes to the selection of an alternative as close as possible to the positive ideal solution and far away from the negative ideal solution, concurrently. Using Atanasso...

Ranking fuzzy numbers is one of very important research topics in fuzzy set theory because it is a base of decision-making in all application areas. However, fuzzy numbers cannot be easily arranged in the order of magnitude because they represent uncertain and vague values. When two fuzzy numbers overlap with each other, a fuzzy number may not be considered absolutely larger than the other. Tha...

In this paper, an extended ranking method for fuzzy numbers, which is a synthesis of fuzzy targets and the Dempster–Shafer Theory (DST) of evidence, is devised. The use of fuzzy targets to reflect human viewpoints in fuzzy ranking is not new. However, different fuzzy targets can lead to contradictory fuzzy ranking results; making it difficult to reach a final decision. In this paper, the result...

This study is devoted to address the notion of duality in Fully Intuitionistic Fuzzy Linear Programming Problems (FIFLP). The problem is addressed by using a revised simplex method with the Gaussian elimination process in fully intuitionistic fuzzy environment. Intuitionistic Fuzzy Trapezoidal Numbers (IFTrpN), along with the basic arithmetic techniques defined on them help in solving the (FIFL...

Ranking of fuzzy numbers plays a very important role in linguistic decision making and some other fuzzy application systems. Several strategies have been proposed for ranking of fuzzy numbers. Each of these techniques has been shown to produce nonintuitive results in certain cases. In this paper, some new approaches for ranking of trapezoidal fuzzy numbers are introduced. Keywords— Magnitude of...