The aim of this paper is to introduce a new type of a fuzzy number that is different from the existing generalizations of fuzzy numbers. The significance of the proposed fuzzy number is to link multiset sequence with fuzzy sets in the set of all real numbers. The main advantage of the proposed fuzzy number is that it is associated with more than one increasing function and more than one decreasing function whereas all the existing generalizations of fuzzy numbers are having exactly one increasing function and one decreasing function. In certain real life problems, especially in trading, weather forecasting, medical field, share market, the values of the parameters may have several ups and downs over a specific period and they may not be modelled by the existing fuzzy numbers. The proposed fuzzy number using multiset sequence can be used to represent such situations. To validate this, several numerical examples are given.