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...

The methods of fuzzy decision-making use the comparison of fuzzy numbers or sets to choose among alternatives. The linear ordering of real numbers does not extend to fuzzy numbers and fuzzy numbers can only be partially ordered and hence they cannot be compared. However, when fuzzy numbers are used in practical applications their comparison becomes necessary. Several methods of comparing fuzzy ...

‎The importance of Problem Solving (PS) has been realized for such a long time that in a direct or indirect way affects our daily lives in many ways‎. ‎Assessment cases appear frequently for PS skills which involve a degree of uncertainty and (or) ambiguity‎. ‎Fuzzy logic‎, ‎due to its nature of characterizing such cases with multiple values‎, ‎offers rich resources for dealing with them‎. ‎On ...

This paper first improves Chen and Hsieh’s definition of generalized fuzzy numbers, which makes it the generalization of definition of fuzzy numbers. Secondly, in terms of the generalized fuzzy numbers set, we introduce two different kinds of orders and arithmetic operations and metrics based on the λ-cutting sets or generalized λ-cutting sets, so that the generalized fuzzy numbers are integrat...

ranking fuzzy numbers plays a very important role in decision making and some other fuzzy application systems. many different methods have been proposed to deal with ranking fuzzy numbers. constructing ranking indexes based on the centroid of fuzzy numbers is an important case. but some weaknesses are found in these indexes. the purpose of this paper is to give a new ranking index to rank vario...

in this paper,  we determine necessary and sufficient tauberian conditions under which convergence in pringsheim's sense of a double sequence of fuzzy numbers follows from its $(c,1,1)$ summability. these conditions are satisfied if the double sequence of fuzzy numbers is slowly oscillating in different senses. we also construct some interesting double sequences of fuzzy numbers.